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 Central University of Kerala
02 April 2025

Dr. Germina K A


Brief Profile

KIZHAKEKUNNEL AUGUSTHY   GERMINA
I have completed my schooling, graduation, and Post-graduation in Kerala,  M. Phil from St. Joseph’s College, Trichy, and Ph. D from M. S. University Tirunelveli in 1996.  Joined as Assistant Professor in MMASC, Mananthavady affiliated to Kannur University, Kannur. For a year served as Associate Professor at the University of Botswana, Botswana. Presently,  working as Head & Associate Professor at Department of Mathematics, Central University of Kerala. 
Research Area: Discrete Mathematics- Graphs, signed Graphs, and Hypergraphs theory. Published 175  research articles in refereed journals of which 82 of the publications are in Scopus/ESCI/SCI Journals. 18 Ph. Ds and 8 M. Phils have been awarded under my supervision. At present 4 Research Scholars are doing research under my supervision. Published one Book and two chapters in Scopus indexed Book, Handbook of Research on Advanced Applications of Graph Theory in Modern Society, published by IGI Global. Adjudication for 47 Ph.D. thesis of various Universities in India. Received international, Bharath Shiksha Ratan Award,  for the dedication to teaching and research in Mathematics, conferred by Global Society for Health and Educational Growth in 2011. Received the Outstanding Woman Educator and Scholar Award for the astounding teaching and scholarly activities in the field of Mathematics conferred by National Foundation for Entrepreneurship Development in 2017 and received Award for Excellence in Prominent Educationalist of Asia, conferred by Achieves Association for Health and Educational Growth New Delhi in2019. Awarded the MATRICS Project from DST-SERB, Govt. of India, New Delhi.  Reviewed more than 312 research articles and serve as referee/reviewer for 15 journals.  Chaired a session on graph theory and delivered an invited talk at the International Conference on STATISTICS-2011 in  2011, at Concordia University, Montreal, Canada.  Gave an invited talk on    Frustration index in a signed NetWork,  at Special Session on Algebraic Combinatorics, as part of the AMS Fall Eastern Section Meeting in  2019 at Binghamton University, Binghamton, NY. USA. Life Member of   Kerala Mathematics Association (KMA), Academy of Discrete Mathematics and Application (ADMA), INDOCRYPT,  Indian National Academy of Sciences, Indian Mathematics Association (IMA), Forum for Interdisciplinary Mathematical Sciences (FIM), Canada,  and Ramanujan Mathematical Society(RMS).

                                        ***

160

Publications

4

Projects

5

Students

6

Courses Taught


...
Dr. Germina K A
Professor
Department of Mathematics
  9744859390
  [email protected]
  Personal Website
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Academic Identity
 Google Scholar ID
 ORCID
 Scopus ID
 Researcher ID

 Research

None

 Recent and Major Publications

  1. T.V. Shijin1 , P. Soorya1 , K. Shahul Hameed , K.A. Germina,"On the distance spectra of the product of signed graphs",Communications in Combinatorics and Optimization,To be assigned

  2. 183. Roshni T. Roy, Shahul Hameed K., K. A Germina,"On two Laplacian matrices for skew gain graphs",Electronic Journal of Graph Theory and Applications,9 (1) (2021), 125–135

  3. 184. K. Dhanalakshmi, K. A Germina, Amalorpava Jerline and L. Benedict Michael Raj,"Results on uniquely colorable digraphs",Discrete Mathematics, Algorithms and Applications,To appear (0nine published)

  4. Soorya P., and K. A. Germina,"Edge (m,k)-Choosability of Graphs, Discrete Mathematics",Discrete Mathematics, Algorithms and Applications,To appear

  5. K. A Germina,"A graph modelling to measure the frustration indexing signed networks",Italian Journal of Pure and Applied Mathematics,To appear

  6. 186. T.V. Shijin, K.A. Germina, K. Shahul Hameed,"On the powers of signed graphs",Communications in Combinatorics and Optimization (CCO),To appear

  7. Shahul Hameed, T. V. Shijin, K. A Germina, Thomas, Zaslavsky,"Signed distance in signed graphs",Linear Algebra and its Applications,608 (2021) 236–247

  8. K.A. Germina, Gency Joseph L. Benedict Michael Raj,"Characterization 1- uniform dcsl graphs and learning graphs",Italian Journal of Pure and Applied Mathematics,Volume 44 , 1-8

  9. N.K. Sudev1, K.P. Chithra , K.A. Germina,"Arithmetic integer additive set-valued graphs: a creative review",Math. Comput. Sci.,10 (2020), No. 4, 1020-1049

  10. Sudev N. K., Soorya P., and K. A. Germina,"On alpha - Vertex Choosability of Graphs",National Academy Science Letters,(2020) DOI: 10.1007/s40009-020-01006-x

  11. ,"A Review on measures to structural balance in social net-work-an Algebraic approach ",Springer Proceedings in Mathematics ,2021, to appear

  12. ,"Signed Distance in Signed Graphs ",Linear Algebra and its Applications ,2021, Vol 608, Pages 236-247

  13. ,"A graph modelling to measure the frustration index in signed networks",Italian Journal of Pure and Applied Mathematics ,2021 to appear

  14. ,"Edge (m,k)- Choosability of Graphs",Discrete Mathematics, Algorithms and Applications (DMAA),2021, to appear

  15. ,"On indexable graphs",Discrete Mathematics,Vol 161(1996), pp 285-289.

  16. ,"Further results on set-valued graphs",J. of Discrete Mathematical Sciences & Cryptography,11(5)(2008), 559-566

  17. ,"Graph Labelings, Embeddings and NP-Completeness theorems ",Journal of CCombinatorial Mathematics and Combinatorial Computation,67(2008), 163-180

  18. ,"Strongly k-Indexable Unicyclic Graphs",Graph Theory Notes of NewYork,LV(2008), pp 45-49

  19. ,"Embeddings and NP-Completeness theorems for set-graceful. Topologically set-graceful and set-sequential graphs",Discrete Mathematical Sciences and Cryptography,12(4)(2009), pp481-487

  20. ,"On square sum graphs",AKCE J. Graphs. Combinatorics,6(1) (2009), 1-10

  21. ,"On additively geometric graphs",Journal of Combinatorial Mathematics and Combinatorial Computation,Vol 70 (2009) pp 207-216.

  22. ,"On (k,d)-multiplictively indexable graphs",J. of combinatorial Mathematics and combinatorial computing,Vol 69 (2009), pp 15-21.

  23. ,"Independent Complementary distance pattern uniform graphs",Journal of Mathematical Combinatorics,Vol 4 (2009) pp 63-74

  24. ,"On Sum composite and Embedding problems",J. of combinatorial Mathematics and combinatorial computing,Vol 69 (2009), pp 23-30.

  25. ,"Topogenic Graphs:II- Embedings",Indian Journal of Mathematics,Vol.51(2009), pp 645-661

  26. ,"Point and Arc reaching sets of vertices in a digraph",Indian Journal of Mathematics,Vol.51(2009), pp 597-609

  27. ,"Kernals and Grundy Functions of Hyper Graphs",South East Asian Journal of Mathematical Sciences,01(2009), 9(1)

  28. ,"k-transitive digraphs and topologies",International mathematical Forum,5(2010) No.63 pp 3111-3119

  29. ,"Unigeodesic Graphs and Related Recent Notions",International Journal of Algorithms, Computing and Mathematics,Vol 3, No1. 2010, pp 89-92.

  30. ,"Distance Compatible Set-Labeling index of Graphs",Int. J. Contemp. Math. Sciences,Vol. 5, 2010, No. 19, pp911-919

  31. ,"On Permuted Graphs and digraphs",International Journal of algorithms and Mathematics,Vol. 3, No. 1 2010, pp 55-58.

  32. ,"More on Classes of Strongly Indexable Graphs",European Journal of Pure and Applied Mathematics,Vol. 3, No. 2, 2010, pp 269-281.

  33. ,"Distance Pattern of Vertices in a Graph",International Mathematical Forum,5, 2010, 1697-1704

  34. ,"M-complementary distance uniform matrix of a Graph",International mathematical Forum,5, 2010, no. 45, 2225 -2235.

  35. ,"Enumeration on graphical Realization",International Journal of Algorithms, Computing and Mathematics,No.1, 2010, pp 31-46.

  36. ,"On Sequential Topogenic Graphs",International Journal of Contemporary Mathematical Sciences,Vol.5(2010) no.36,pp1799-1805

  37. ,"(k,r)-arithmetic dcsl labeling of graphs",International mathematical Forum,5(2010),No.45,pp 2237-2247

  38. ,"Vertex Graceful graphs",Discrete Mathematical Sciences and Cryptography ,Vol 13 (2010) No.4., pp 453-463

  39. ,"Distance neighbour-hood pattern matrices ",European Journal of Pure and Applied Mathematics,3(4) (2010) pp748-764

  40. ,"On signed paths, Signed cycles and their Energies",Applied Mathematical Sciences,(2010) No. 4 ( 70), 3355-3466

  41. ,"Linear hypergraph set-indexers of a graph",International mathematical Forum,5(68)(2010), 3359-3370.

  42. ,"Complementary Distance Pattern Uniform Graphs",International Journal of Contemporary Mathematical Sciences,Vol.5(2010) No.55 2745-2751

  43. ,"Distance pattern distinguishing sets in graphs",Advanced Studies in Contemporary Mathematics,21 (2011), No.2., pp 107-114.

  44. ,"On Uniform Linear Hypergraph Set-indexers of a graph",Int. J. Contemp.Sciences,Vol. 6, 2011, No. 19, 861-868.

  45. ,"Some General Results on Distance Pattern Distinguishing Graphs",Int. J. Contemp. Math. Sciences,Vol. 6., (2011), No. 15, 713-720.

  46. ,"Topogenic Graphs",Advanced Studies in Contemporary Mathematics,21 (2011), No.2., pp 139-159.

  47. ,"Distance Neighbourhood Pattern Matrices of Trees",International Mathematical Forum,Vol. 6., (2011), No. 12, 591-604.

  48. ,"On Products and Line Graphs of Signed Graphs, their Eigen Values and Energy",Linear Algebra and its Applications,435(2011), 2432-2450.

  49. ,"Set-valuations of a digraph",Global Journal of Pure and Applied Mathematics,Vol. 7, No 3(2011), pp. 237-243.

  50. ,"Distance-Compactible set-labelings of a graph",Indian J. Math. & Comp. Sci.,1, (2011) pp 49-54

  51. ,"Maximal strongly indexable graphs",J. of combinatorial Mathematics and combinatorial computing,76(2011), pp.75-99

  52. ,"Distance compactible set-labeled graphs",Int. Journal of Mathematical and Computer science,Vol 1, 2011, pp 49-54

  53. ,"On edge colouring of Hypergraphs and Erdos- Faber – Lovasz conjecture",Discrete Mathematics, Algorithms and Applications (DMAA),Vol: 04 (2012) Iss: 1 pp12500

  54. ,"Bi-Distance Pattern Uniform Number",International Mathematical Forum,Vol. 7, (2012), No. 27, 1303 – 1308

  55. ,"On Structural Properties of 3-uniform linear hypergraph set indexers of a graph",Advances in Theoretical and Applied Mathematics,Volume 7, Number 1 (2012), 95-104

  56. ,"Balance in Gain Graphs- A spectral Analysis",Linear Algebra and its Applications,436(2012), pp 1114-1121

  57. ,"On Composition of Signed Graphs",Discussiones Mathematicae, Graph Theory,32(2012), pp 507-516.

  58. ,"Hypergraphs of Minimal Arc Bases in a Digraph",Journal of Combinatorics, Information & System Sciences,Vol. 37 (2012), No. 2-4, pages 329-341

  59. ,"Some New results on set-graceful and set-sequential graphs",Journal of Combinatorics, Information & System Sciences,Vol. 37 (2012), No. 2-4, pages 239-249

  60. ,"Topologically set-graceful graphs",Journal of Combinatorics, Information & System Sciences,Vol. 37 (2012), No. 2-4, pages 309-328

  61. ,"A creative survey on complementary distance pattern uniform sets of vertices in a graph",Journal of Combinatorics, Information & System Sciences,Vol. 37 (2012), No. 1, pages 291-308

  62. ,"Integer Additive Set-Indexers of a Graph: Sum Square Graphs",Journal of Combinatorics, Information & System Sciences,Vol. 37 (2012), No. 2-4, pages 355-368

  63. ,"On Set-Valued Graphs ",Journal of Fuzzy Set Valued Analysis,Volume 2012 (2012), Article ID jfsva-00127, 17 Pages

  64. ,"On linear hypergraph set indexers of a graph: Cyclomatic number, Cyclicity and 2-colorability",Journal of Combinatorics, Information & System Sciences,Vol. 37 (2012), No. 2-4, pages 227-237

  65. ,"New Perspectives on CDPU Graphs",General Mathematics Notes,Vol. 4, No. 1, May 2011, pp.90-98

  66. ,"A creative review on distance pattern distinguishing sets in a graph",Journal of Combinatorics, Information & System Sciences,VOL.4 NO.1 pp 71-79

  67. ,"On bitopological graphs",International journal Algorithms, Computing and Mathematics,VOL.4 NO.1 pp 71-79

  68. ,"On gracefully topogenic graphs",Journal of Combinatorics, Information & System Sciences,Vol 37(2012), pp 279-289.

  69. ,"Balance in certain gain graphs products",Journal of Combinatorics, Information & System Sciences,Vol 37(2012), pp 215-226.

  70. ,"Uniform Distance-compatible set-labelings of graphs",Journal of Combinatorics, Information & System Sciences,Vol37(2012), pp 179-188

  71. ,"On outset-magic digraphs",J. of Discrete Mathematical Sciences & Cryptography,(2013) Vol16, No.1, pp 45-59

  72. ,"Interference in Graphs",Journal of Combinatorics, Information & System Sciences,Vol 38(2013), No.1-2, , pp 1-17

  73. ,"Further Results on Square Sum Graphs",International mathematical Forum,Vol.8, 2013, no. 1, 47-57.

  74. ,"Bi-distance pattern uniform number",International mathematical Forum,Vol 7 no.27, (2012),

  75. ,"Open Distance Pattern Coloring of a Graph",Journal of Fuzzy Set Valued Analysis,Volume 2012 (2012), Article ID jfsva-00144, 8 Pages, doi: 10.5899/2012/jfsva-00144

  76. ,"Bi-distance pattern uniform graphs",Proc. Jangjeon Math. Soc.,16 (2013), No. 1, pp. 87-90

  77. ,"On Square Sum Graphs",Proyecciones-Journal of Mathematics,(2013), 32 (2) 107-117

  78. ,"Strongly Indexable Graphs: Some New Perspectives",Advanced Modeling and Optimization An Electronic International Journal-A special issue on Graph Th,Volume 15, Number 1, 2013, pp.3-22

  79. ,"Maximal Square Sum Subgraph of a Complete Graph",International Journal of Scientific and Innovative Mathematical Research (IJSIMR),Vol 2, No.1., pp 108-115. 2014

  80. ,"Arbitrary Super subdivision and Square sum labelling of some graphs",Indian Journal of Mathematics and Mathematical Sciences,-

  81. ,"Further Results on Square Sum Graphs",International Mathematical Forum,Vol.8, 2013, no. 1, 47-57.

  82. ,"Maximal Square Sum Subgraph of a Complete Graph",International Journal of Algorithms, Computing and Mathematics,Volume 15, Number 1, 2013.

  83. ,"Set-valuations of Graphs-an Update",Annals of Pure and Applied Mathematics (APAM),,Vol 4 No. 1 (2014), pp 8-42

  84. ,"On outset-magic digraphs",J. of Discrete Mathe. Sci and Cryptography,Vol. 16 (2013), No. 1, pp. 45–59

  85. ,"Weakly Uniform integer Additive Set- indexers of Graphs",International Mathematical Forum,Vol. 8, 2013, no. 37, 1827 – 1834

  86. ,"New construction of square sum labeling",International Journal of Advanced Engineering and Global Technology,Vol-2, Issue-1, (2014)pp 412-417

  87. ,"On open domination and domination in Signed graphs",International Mathematical Forum,Vol. 8, 2013, no. 38, 1863 - 1872

  88. ,"Further Results on Open Distance Pattern Colorable Graphs",Int Jr. of Mathematics Sciences & Applications,Vol.3, No.1, (2013) pp 153-162

  89. ,"Square sum labeling associated with sequence of positive integers",IOSR Journal of Mathematics,Vol10 No. 1., (2014)pp 66-70

  90. ,"Neighbourhood balanced domination in signed graphs",International Journal of Mathematical Science and Engineering Applications,Vol 8(2014), No.3, pp 193-203

  91. ,"A note on sparing number of graphs",Advances and Applications in Discrete Mathematics,,Vol 14 No.1(2014) pp51-65

  92. ,"On Weakly Uniform Integer Additive Set-Indexers of Graphs",International Mathematical Forum,, Vol. 8, 2013, no. 37, 1827 – 1834

  93. ,"On Integer Additive Set-Indexers of Graphs",International Journal of Mathematical Sciences and Engineering Applications,Vol. 8 (2014) No. II, pp11-22.

  94. ,"A Characterization of Weak Integer Additive Set-Indexers of Graphs, ",ISPACS Journal of Fuzzy Set Valued Analysis,Vol. 2014 (2014), Article Id: jfsva 00189, 1-7.

  95. ,"Weak Integer Additive Set-Indexers of Graph Operations, ",Global Journal of Mathematical Sciences: Theory and Practical,Vol.6, No. 1, 25-36.

  96. ,"A Study of Semi-Arithmetic Integer Additive Set-Indexers of Graphs",International Journal of Mathematical Sciences and Engineering Applications,Vol. 8 No. 3 (2014) pp 157-165

  97. ,"On the Sparing Number of Certain Graph Structures",Annals of Pure and Applied Mathematics,Vol 6 No. 2 pp140-149

  98. ,"On the Distance Pattern Distinguishing Number of a Graph",Journal of Applied Mathematics,vol. 2014, Article ID 328703, 8 pages, 2014. doi:10.1155/2014/328703.

  99. ,"Associated Graphs of Certain Arithmetic IASI graphs",International Journal of Mathematics and Soft Computing,Vol 4 No.2 ( 2014), pp71-80

  100. ,"Open distance pattern edge colorings of a graph",Annals of Pure and Applied Mathematics,(2014), Vol. 6 No. 2, pp 191-198

  101. ,"Sparing number of Cartesian products of certain graphs, ",Communications in Mathematicatics and Applications,Vol 5, No. 1. (2014) pp 23-30

  102. ,"On Square Sum Chain Graphs whose Blocks are Complete Graphs, ",International Journal of Scientific Research, , Vol. 3 No.2, pp 298-304., 2014

  103. ,"On Square Sum graphs associated with sequence of Positive integers, ",IOSR Journal of Mathematics , ,Volume 10, No.1 PP 66-70, 2014

  104. ,"Weak integer additive set indexes of certain graph classes, ",Journal of Discrete Mathematical Sciences and Cryptography, ,Vol.18, Issue 2-3, 117-128. , 2014

  105. ," Weak Integer Additive Set-Indexers of Certain Graph Products, ",Journal of Informatics and Mathematical Sciences,, Vol.6, No.1, pp. 35-43. , 2014

  106. ,"A note on the sparing number of graphs, ",Advances and Applications in Discrete Mathematics, ,Vol. 14, Issue-1, pp. 51-65.

  107. ,"A Study on the sparing number of corona of certain graphs, ",Research and Reviews: Discrete Mathematical Structures, ,Vol 1, No.2, pp. 5-15. , 2014

  108. ,"Sparing number of Cartesian products of certain graphs, ",Communications in Mathematics and Applications,Vol 5, No. 1. pp 23-30, 2014

  109. ,"Associated graphs of certain arithmetic IASI graphs, ",International Journal of Mathematics and Soft Computing, ,Vol 4 No.2, pp. 71-80. , 2014

  110. ,"On the sparing number of certain graph structures, ",Annals of Pure and Applied Mathematics, ,Vol 6, No. 2, pp. 140-149. , 2014

  111. ,"A study of semi-arithmetic integer additive set-indexers of graphs, ",International Journal of Mathematical Sciences and Engineering Applications, ,Vol. 8, No. 3, pp. 157-165., 2014

  112. ,"Weak integer additive set-indexers of graph operations, ",Global Journal of Mathematical Sciences: Theory and Practical, ,Vol.6, No.1, pp. 25-36. , 2014

  113. ,"A characterization of weak integer additive set-indexers of graphs, I",SPACS Journal of Fuzzy Set Valued Analysis,, pp. 1-7., 2014

  114. ,"On integer additive set-indexers of graphs, International ",Journal of Mathematical Sciences and Engineering Applications,, Vol. 8 No. II, pp. 11-22., 2014

  115. ,"A Creative Review on Integer Additive Set-Valued Graphs, International Journal of Scientific and Engineering Research 6 (3), 372-378",International Journal of Scientific and Engineering Research ,6 (3), 372-378, 2014

  116. ," Neighbourhood balanced domination in signed graphs, ",International Journal of Mathematical Science and Engineering Applications ,Vol 8 No.3 pp 193-203., 2014

  117. ,"Arithmetic Intger Additive Set-Indexers of Graph Operations, ",Journal of Advanced Research in Pure Mathematics ,8 (1), 13 pages, 2014

  118. ,"On the Distance Pattern Distinguishing Number of a Graph, ",Journal of Applied Mathematics, vol. 2014 Article ID 328703, 8 pages. 2014

  119. ,"Open distance pattern edge colorings of a graph",Annals of Pure and Applied Mathematics, ,Vol. 6 No. 2, pp 191- 198., 2014

  120. ,"Neighbourhood Balanced Dominaion in Signed graphs, ",International journal of Math. Sci. and Engineering Applications, ,Vol 8 No. 3 pp 193-203 , 2014

  121. ,"A Characterisation of strong integer additive set indexers of graphs, ",Communications in Mathematics and Applications, ,Vol.5 Issue 3, 2 pp. 101-110. 2015

  122. ,"A On Co-regular signed graphs , ",Australian journal of combinatorics ,(2015) Vol 62(1), pp. 8-17.

  123. ,"Square Sum Labeling of Class of Planar Graphs ,",Proyecciones Journal of Mathematics , (2015), Vol. 34, No 1, pp. 55-68

  124. ,"Open distance pattern coloring of certain classes of graphs ",International Journal of Scientific and Engineering Research ,-

  125. ,"Some Classes Of Dispersible Dcsl-Graphs,",Carpathian Math. Publ. , 2017, 9 (2), 128–133

  126. ,"Some new results on strong integer additive set indexers of graphs,",Dicsrete Math. Algorithm Appl., (2015), 7(1) 1-11

  127. ,". Weak integer additive set indexes of certain graph classes ",J. of Discrete Mathematical Sciences & Cryptography,(2015), 18(2-3), 117-128

  128. ,"A note on the sparing number on the sieve graphs of certain graphs(",Appl. math. E-Notes,2015), 15(1) 29-37

  129. ,"On certain arithmetic integer additive set-indexers of graphs",Dicsrete Math. Algorithm Appl.,(2015), 7(3) 1-15

  130. ,"Property-load ed vertex color-ings of a hypergraph ",Journal of Ramanujan Society of Math ,(2016), Vol.5, No.1 pp. 21-32

  131. ,"Topological integer additive set-sequential graphs",Mathematics,(2015) 3(3), 604-614

  132. ,". A creative review on weak integer additive set-labeled graphs",Asian Europian J Math.,(2015), 8(3) 1-22

  133. ,". A study on the nourishing number of graphs and graph powers",Mathematics,(2015), 3(1) 29-39

  134. ,"Integer additive set-valuations of signed graphs",Carpathian Math. Publ. ,(2015), 7(2), 236-246

  135. ,"A study on topological integer additive set-labeling of graphs",Electron. J. Graph Theory Appl.,(2015)3(1), 70-84

  136. ,".. Double domination in signed graphs, (2016) ",Cogent Mathematics,3: 1186135

  137. ,". Constructions of 1-uniform dcsl graphs using Well-graded families of sets ",Electronic Notes in Dis-crete Mathematics,(2016), 53, 25-41

  138. ,". On the dimension of vertex labeling of k-uniform dcsl of k-uniform caterpillar ",Carpathian Math. Publ. ,(2016), 8 (1), 134–149

  139. ,". A study on prime arithmetic integer additive set-indexers of graphs",Proyecciones J math.,(2017)36(2)

  140. ,"Switched signed graphs of integer additive set-valued graphs",Discrete Math. Algorithm Appl.,(2017)9(4)1-10

  141. ,"A note on dispensing number algorithm of graphs",J.Inform. Optimis. Sci.,(2017)38(3-4), 615-620

  142. ,"A note on sparing number algorithm of graphs",J.Inform. Optimis. Sci.,(2017), 38(8),1291-1296

  143. ,"On the Dimension of Vertex labeling of k-Uniform DCSL of even cycle, ",Turkish Journal of Math-ematics ,(2018), 42, 633 -646

  144. ,"On certain coloring parameters of Mycielski graphs of some graphs",Discrete Math. Algorithm Appl.,(2018), 10(3), 3-21

  145. ,". Learning graphs and 1-uniform dcsl graphs ",Discrete Math. Algorithm Appl., (2017), Vol.09, No. 04

  146. ,"Characterization of k- uniform dscl graphs and k-graded family of sets ",Global journal of Pure and Applied Mathematics ,(2017), vol.13, No. 5, 298-307

  147. ,". Limiting Probability transition matrix of a condensed Fibonacci Tree ",International journal of Applied Mathematics ,(2018), 31(2), 241-249

  148. ,"On the vertex in-degrees of ceratin Jaco-type graphs",Southeast Asian Bull. Math.,(2019), 43(1), 67-78

  149. ,"Some new results on integer addiitive set-valued signed graphs",TWMS J.of Appl. Eng. Math.,(2019)9(3), 638-645

  150. ,"On sparing number of graph powers",Acta Univ. Sapientiae Math.,(2019), 11(1), 186-202

  151. ,". Characterization of span of base B-induced 1-uniform dcsl graphs",International journal of Applied Mathematics , (2019), 32(1), 51-58

  152. ,"The sparing number of the powers of certain Mycielski graphs",Algebra Discrete Math.,(2019), 28(2),291-307

  153. ,"A Study on Set-Valuations of Signed Graphs (2018), Vol.1(2018), 34-40 ",International J.Math. Combin. ,(2018), 34-40

  154. ,"Chromatic Harmonic Indices and Chromatic Harmonic Polynomials of Certain Graphs ",Iranian Journal of Math-ematical Sciences and Informatics ,(2019), Vol. 14, No. pp 173-184

  155. ,"Sparing Number of Certain Graph powers,",Acta Universitatis Sapi-entiae Mathematica, (2019), Vol 111) PP 186–202

  156. ,"On certain associated graphs of set-valued signed graphs ",Malaya Journal of Ma-tematik , (2019), Vol. 7, No. 1, 113-117

  157. ,". Characterization 1-uniform dcsl graphs and learning graphs ",Italian Journal of Pure and Applied Mathematics ,(2020), Volume 44 , 1-8.

  158. ,"Arithmetic integer additive set-valued graphs: A creative re-view(",J. Math. Comput. Sci. ,2020), 10(4), 1020-1049

  159. ,"On the Vertex Choice Number and Chromatic Number of Graphs ",International Journal of Scientific & Technology Research ,(2020) 9(1) 1-10

  160. ,"On the Vertex Choice Number and Chromatic Number of Graphs ",Italian Journal of Pure and Applied Mathematics ,(2020), 43, 905-911


 Group Members

 Research Projects Undertaken

Social Network Analysis using Centrality Measures of Graphs and Sigraphs -A Spectral Approach. MTR/2017/000689

 SERB

Extra Mural Research Funding (Individual Centric) EMR

Set-Valuations of Graphs: Distance Compatible set-labelled graphs and their Applications -No. SR/S4/MS/760/12

 DST

Major

Distance Compatible Set Labeling of Graphs and Structure Knowledge

 UGC

Minor

Set-Valuations of Graphs and their Applications (SR/S4/MS:277/06.)

 DST

Major

 Books / Chapters

  • Chapter(s) - Co-Author, (2021). International Conference on Recent Advances in Pure and Applied Mathematics, ICRAPAM 2018: Mathemati, Springer Proceedings in Mathematics & Statistics book series, 2194-1009

  • Chapter(s) - Sole Author, (2019). Handbook of Research on Advanced Applications of Graph Theory in Modern Society, Published in the United States of America by IGI Global Engineering Science Reference (an imprint o, ISSN: 2327-039X; eISSN: 2327-0403

  • Chapter(s) - Co-Author, (2019). Handbook of Research on Advanced Applications of Graph Theory in Modern Society, Published in the United States of America by IGI Global Engineering Science Reference (an imprint o, ISSN: 2327-039X; eISSN: 2327-0403

  • Book - Co-Author, (2018). An Introduction to Sum Set Valued Graphs (Theory and Applications) -181 pages, LAMBERT Academic Publishing, D-40217 Düsseldorf, Germany, ISBN-13: 978-613-9-58087-3 ISBN-10: 6139580870

    •  Patents

      None

     Miscellaneous

     Membership/Fellowship of other institutions/professionals societies : 
    1. Reviewer of Mathematical Review of AMS (MR Reviewer No. 72231)
2.	Life member-American Mathematical Society, (sponsored by Prof. Thomas Zaslavsky, Binhamton Uiversity,  US).
3.	Ramanujan Mathematical Society (RMS) - Life member.
4.	Academy of Discrete Mathematics & its Applications (ADMA) - Life member.
5.	Life member.- Indian Mathematical Society 
6.	INDOCRYPT-(2009),  Life Member
7.	Life Member , Indian National Academy of Sciences 
8.	Life Member, Forum for Interdisciplinary Mathematical sciences (FIM), Canada 
9.	Life Member SSFA 
Referee for Journals : Indian Journal of Mathematics , International Journal of Algorithms, Computing and Mathematics, Journal of Combinatorial Mathematics and Combinatorial Computation , Applied Mathematics Letters , Ars Combinatorica,  Discrete Mathematics , Discrete and Applied Mathematics , European Journal of Pure and Applied Mathematics. Journal of Advanced Research in Applied Mathematics , J. of Combinatorics, Information and System Sci
     Student related co-curricular, extension and field based activities and counseling.
     Contribution to corporate sector-management of the department and institution through participation in academic and administration,committees and responsibilities. 
    Member, Court of Central University of Kerala, HoD from 29.08.2019 onward; Member Academic Council,
     Other activities/Responsibilities :
     Any other relevant information, if not given above : 
    Details of Ph. D thesis Supervised:
At Kannur University: 16 Numbers:
At Anna University:01
At Central University of Kerala:01

     Contact

    Full Name
    		 Dr. Germina K A
    Address
    		 S H Convent Nileswaram Kerala
    Telphone Number
    (With STD Code)
    		 9744859390
    PinCode
    		 671314

     Teaching & Research Guidance

    • Real Analysis, Complex Analysis, Linear Algebra, Abstract Algebra, Calculus, Differential Equations, Topology, Number Theory, Cryptography, Mathematical Methods, Discrete Mathematics:Under Graduate
    • Linear algebra, Discrete Mathematics:Under Graduate
    • Linear Algebra, Abstract Algebra, Measure and Integration, Topology, Differential Geometry, Operations Research, Graph Theory, Discrete Mathematics, Real Analysis, Numerical Analysis, Commutative Algebra, Functional Analysis:Post Graduate
    • Linear Algebra, Discrete Mathematics:Post Graduate
    • Linear Algebra, Abstract Algebra, Measure and Integration, Topology, Differential Geometry, Operations Research, Graph Theory, Discrete Mathematics Numerical Analysis:Post Graduate
    • Algebra, Discrete Mathematics, Graph Theory, Operations Research, Measure and Integration,:Research Guidance