Designation

Associate Professor

Joining Date

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, To appear.
- 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, https://doi.org/10.1080/00927872.2022.2098968.
- D. Pandey and K. L. Patra, Different central parts of trees and their pairwise distances, Linear and Multilinear Algebra, https://doi.org/10.1080/03081087.2020.1856027 .
- 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.

*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
- Some new central parts of connected graphs
- On the super graphs and reduced super graphs of some finite groups
- Connectivity of the zero divisor graphs of certain finite commutative rings

Teaching

- 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.) || Representaions 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:** Linear Algebra

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 Shince K Baby, School of Mathematical Sciences, NISER, Bhubaneswar (Continuing)
- 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)