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ଜାତୀୟ ବିଜ୍ଞାନ ଶିକ୍ଷା ଏବଂ ଗବେଷଣା ପ୍ରତିଷ୍ଠାନ
ପରମାଣୁ ଶକ୍ତି ବିଭାଗ, ଭାରତ ସରକାରଙ୍କ ଏକ ସ୍ବୟଂଶାସିତ ପ୍ରତିଷ୍ଠାନ

राष्ट्रीय विज्ञान शिक्षा एवं अनुसंधान संस्थान
परमाणु ऊर्जा विभाग, भारत सरकार का एक स्वयंशासित संस्थान

National Institute of Science Education and Research
AN AUTONOMOUS INSTITUTE UNDER DAE, GOVT. OF INDIA
 

Kamal Lochan Patra

Associate Professor
 
 

klpatraniser.ac.in
+91-674-2494000 > 2092

  • Ph. D. :  Indian Institute of Technology,  Kanpur, 2008
  • M. Sc. :  Utkal University, Odisha, 2000
  • B. Sc. :  Utkal University, Odisha, 1998

Algebraic Graph Theory
Discrete Mathematics

  1. S. Mukherjee, K. L. Patra and B. K. Sahoo, On the minimum cut-sets of the power graph of a finite cyclic group II, Journal of Algebra and its Applications, To appear.
  2. S. Bera, H. K. Dey, K. L. Patra and B. K. Sahoo, On the domination number of proper power graphs of finite groups, Discrete Mathematics, To appear.
  3. S. Mukherjee, K. L. Patra and B. K. Sahoo, On the minimum cut-sets of the power graph of a finite cyclic group, Journal of Algebra and its  Applications  23 (2024), no. 11, 2450176, 22pp.
  4. D. Pandey and K. L. Patra, Total eccentricity index of graphs with fixed number of pendant or cut vertices, Ricerche di Matematica 73 (2024),  no. 4, 1873 - 1893. 
  5. S. Dalal, S. Mukherjee and K. L. Patra, Spectrum of super commuting graphs of some finite groups, Computational and Applied Mathematics 43 (2024), no. 6, Article 348.
  6. S. Chattopadhyay, K. L. Patra and B. K. Sahoo, Connectivity of the zero divisor graphs of certain finite commutative rings, Journal of Algebraic Combinatorics 59 (2024), no. 4, 955 - 969.
  7. R. P. Panda, K. L. Patra and B. K. Sahoo, Characterizing finite nilpotent groups associated with a graph theoretic equality, Ricerche di Matematica 73 (2024), no. 2, 1017-1027.
  8. S. Dalal, S. Mukherjee and K. L. Patra, On the super graphs and reduced super graphs of some finite groups, Discrete Mathematics 347 (2024), no. 1, Article 113728.
  9. R. P. Panda, K. L. Patra and B. K. Sahoo, On the minimum degree of power graphs of finite nilpotent groups, Communications in Algebra  51 (2023), no. 1, 314-329.
  10. D. Pandey and K. L. Patra, Different central parts of trees and their pairwise distances, Linear and Multilinear Algebra 70 (2022), no. 19, 3790 - 3802.
  11. D. Pandey and K. L. Patra, A conjecture on different central parts of binary trees, Graphs and Combinatorics 38 (2022), no. 6, Article 190.
  12. D. Pandey and K. L. Patra, Wiener index of graphs with fixed number of pendant or cut vertices, Czechoslovak Mathematical Journal 72(2) (2022), 411 - 431.
  13. H. Kumar, K. L. Patra and B. K. Sahoo, Proper divisor graph of a positive integer, INTEGERS 21 (2021), Paper No. A65, 21pp.
  14. S. Chattopadhyay, K. L. Patra and B.K. Sahoo, Minimal cut-sets in the power graphs of certain finite non-cyclic groups, Communications in algebra 49(3) (2021),1195 - 1211.
  15. D. Pandey and K. L. Patra, On the number of connected subgraphs of graphs, Indian Journal of Pure and Applied Mathematics 52(2) (2021), 571 - 583.
  16. R. P. Panda, K. L. Patra and B. K. Sahoo, On the minimum degree of the power graph of a finite cyclic group, Journal of Algebra and its Applications 20(3)(2021), 2150044,18pp.
  17. S. Chattopadhyay, K. L. Patra and B. K. Sahoo, Laplacian eigenvalues of the zero divisor graph of the ring Z_n, Linear Algebra Appl. 584 (2020), 267 - 286.
  18. S. Chattopadhyay, K. L. Patra and B. K. Sahoo, Erratum: Vertex connectivity of the power graph of a finite cyclic group II, Journal of Algebra and its Applications 19(2)(2020), 2092001, 2pp.
  19. S. Chattopadhyay, K. L. Patra and B. K. Sahoo, Vertex connectivity of the power graph of a finite cyclic group II, Journal of Algebra and its Applications 19(2)(2020), 2050040, 25 pp.
  20. S. Chattopadhyay, K. L. Patra and B. K. Sahoo, Vertex connectivity of the power graph of a finite cyclic group, Discrete Applied Math. 266 (2019), 259 - 271.
  21. D. N. S. Desai and K. L. Patra, Maximizing distance between center, centroid and subtree core of trees, Proc. Indian Acad. Sci.( Math. Sci.), (2019), 129:7.
  22. K. L. Patra and B. K. Sahoo, Bounds for the Laplacian spectral radius of graphs, Electronic Journal of Graph Theory and Applications 5(2) (2017), 276 - 303.
  23. K. L. Patra, B. K. Sahoo and B. Sahu, Minimum size blocking sets of certain line sets related to a conic in PG(2,q), Discrete Math. 339(2016), no 6, 1716 -1721.
  24. K. L. Patra and  B. K. Sahoo, Minimizing Laplacian spectral radius of unicyclic graphs with fixed girth, Czechoslovak Math. J. 63(138) (2013), no. 4, 909 - 922.
  25. A. K. Lal, K. L. Patra and B. K. Sahoo, Algebraic connectivity of connected graphs with fixed number of pendant vertices,  Graphs Combin. 27 (2011), no. 2, 215 - 229.
  26. K. L. Patra and B. K. Sahoo,  A non-abelian representation of the dual polar space DQ(2n, 2), Innov. Incidence Geom. 9 (2009), 177 - 188.
  27. K. L. Patra and A. K. Lal,  The effect on the algebraic connectivity of a tree by grafting or collapsing of edges. Linear Algebra Appl. 428 (2008), no. 4, 855 - 864.
  28. A. K.  Lal, S. Pati and  K. L. Patra,  Graph structure via its Laplacian matrix. Math. Student 76 (2007), no. 1-4, 203 - 216.
  29. K. L. Patra and A. K. Lal, Maximizing Laplacian spectral radius over trees with fixed diameter. Linear Multilinear Algebra 55 (2007), no. 5, 457 - 461.
  30. K. L. Patra, Maximizing the distance between center, centroid and characteristic set of a tree. Linear Multilinear Algebra 55 (2007), no. 4, 381 - 397.

Preprints:

  1. Centrality in connected graphs via convexity or concavity

Combinatorics
Algebraic Graph Theory
Discrete Mathematics

  • 2024 - 2025: Advanced Linear Algebra (Int. M.Sc.) || Group Theory (Int. M.Sc.)
  • 2023 - 2024: Mathematics -I (Int. M.Sc.) || Algebraic Graph Theory (Int. M.Sc., Int. Ph.D.)
  • 2022 - 2023: Linear Algebra (Int. M.Sc.) || Group Theory (Int. M.Sc.)
  • 2021 - 2022: Mathematics - I ( Int. M.Sc.) || Group Theory (Int. M.Sc.)
  • 2020 - 2021: Algebraic Graph Theory (Int. M.Sc.) || Graph Theory (Int. M.Sc.)
  • 2019 - 2020: Mathematics - I (Int. M.Sc.) || Graph Theory (Int. M.Sc.)
  • 2018 - 2019: Algebraic Graph Theory (Int. M.Sc., Ph.D.) || Algebra II (Ph. D.)
  • 2017 - 2018: Designs and Codes (Int. M.Sc., Ph.D.) || Advanced Linear Algebra (Int. M.Sc.) || Mathematics - I (Int. M.Sc.)
  • 2016 - 2017: Combinatorics and Graph Theory (Ph.D.) || Graph Theory(Int. M.Sc.) || Representations of Finite Groups (Int. M.Sc., Ph.D.) || Mathematics - I (Int. M.Sc.)
  • 2015 - 2016: Optimization Theory (Int. M.Sc.) || Representations of Finite Groups (Int. M.Sc., Ph.D.)
  • 2014 - 2015: Number Theory (Int. M.Sc.) || Representations of Finite Groups (Int. M.Sc., Ph.D.)
  • 2013 - 2014: Algebra - II (Ph.D.) || Discrete Mathematics (Int. M.Sc.) || General Mathematics - II (Int. M.Sc.)
  • 2012 - 2013: Rings and Modules (Int. M.Sc.) || Discrete Mathematics (Int. M.Sc.) || Number Theory (Int. M.Sc.)
  • 2011 - 2012: Algebra - I (Int. M.Sc.) || Advanced Linear Algebra (Int. M.Sc., Ph.D.) || Number Theory (Int. M.Sc.)
  • 2010 - 2011: Advanced Linear Algebra ( Int. M.Sc.) || Algebraic Graph Theory (Int. M.Sc.) || Algebra - II (Int. M.Sc.)
  • 2009 - 2010: Algebra - I (Int. M.Sc.) || Complex Analysis (Int. M.Sc.) || Algebra - II (Int. MSc.)