Kamal Lochan Patra

Designation

Associate Professor

Joining Date

08/04/2009

Expiry of Tenure

31/08/2043

Research Area

Algebraic Graph Theory

Discrete Mathematics

Education

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

Research Interest

Algebraic Graph Theory, Discrete Mathematics

Publications

D. Pandey and K. L. Patra, Total eccentricity index of graphs with fixed number of pendant or cut vertices, Ricerche di Matematica, https://doi.org/10.1007/s11587-022-00756-8
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, https://doi.org/10.1142/S0219498824501767.
R. P. Panda, K. L. Patra and B. K. Sahoo, Characterizing finite nilpotent groups associated with a graph theoretic equality, Ricerche di Matematica, https://doi.org/10.1007/s11587-021-00655-4.
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.
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.
D. Pandey and K. L. Patra, A conjecture on different central parts of binary trees, Graphs and Combinatorics 38 (2022), no. 6, Article 190.
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.
H. Kumar, K. L. Patra and B. K. Sahoo, Proper divisor graph of a positive integer, INTEGERS 21 (2021), Paper No. A65, 21pp.
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.
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.
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.
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.
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 .
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.
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.
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.
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.
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.
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.
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.
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.
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.
A. K. Lal, S. Pati and K. L. Patra, Graph structure via its Laplacian matrix. Math. Student 76 (2007), no. 1-4, 203 - 216.
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.
K. L. Patra, Maximizing the distance between center, centroid and characteristic set of a tree. Linear Multilinear Algebra 55 (2007), no. 4, 381 - 397.

L, A. K.; Pati, Sukanta; Patra, K. L. Graph structure via its Laplacian matrix. Math. Student 76 (2007), no. 1-4, 203–216 (2008).DQ(2

Preprints

On the minimum cut-sets of the power graph of a finite cyclic group, Part II
Spectrum of conjugacy and order super commuting graphs of some finite groups
Centrality in connected graphs via concavity or convexity
On the super graphs and reduced super graphs of some finite groups
Connectivity of the zero divisor graphs of certain finite commutative rings

Teaching

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.)

Current Semester: Mathematics - I

Project/Thesis Guidance

Postdoctroral guidence:

Sandeep Dalal
Sriparna Chattopadhyay
Ramesh Prasad Panda
Sudeep Stephen
Sumit Mohanty

Theses:

Ph.D. Thesis of Sanjay Mukherjee, School of Mathematical Sciences, NISER, Bhubaneswar (Continuing)
Ph.D. Thesis of Dinesh Pandey, School of Mathematical Sciences, NISER, Bhubaneswar (2022)
M.Sc. Thesis of Shubhanshu Pasad, School of Mathematical Sciences, NISER, Bhubaneswar (Continuing)
M.Sc. Thesis of Shince K Baby, School of Mathematical Sciences, NISER, Bhubaneswar (2023)
M.Sc. Thesis of Hitesh Kumar, School of Mathematical Sciences, NISER, Bhubaneswar (2020)
M.Sc. Thesis of Dheer Noal Sunil Desai, School of Mathematical Sciences, NISER, Bhubaneswar (2017)
M.Sc. Thesis of Aadil Aman, School of Mathematical Sciences, NISER, Bhubaneswar (2015)
M.Sc. Thesis of Rishikant Rajdeepak, School of Mathematical Sciences, NISER, Bhubaneswar (2014)
M.Sc. Thesis of Debdipta Haldar, School of Mathematical Sciences, NISER, Bhubaneswar (2013)

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Kamal Lochan Patra

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