My areas of research are Combinatorics and Graph Theory. Research career started on studying existence and geometrisability of strongly regular graphs. Over the years I have worked on Graceful Labellings, Harmonious Labellings, Radio- Colorings, and Unit Distance Representations of Graphs. Current Research is going on the following topics:
1. Algebraic and Spectral Graph Theory
2. Irreducible No-hole Colorings
3. Self-centered Graphs
4. Existence of Strongly Regular Graphs
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Spectral radius of Power graphs on certain finite groups Chattopadhyay S., Panigrahi P. , Atik F. By Indagationes Mathematicae 29 730-737 (2018)
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Bounds on maximal and minimal entries of the $p$-normalized principal eigenvector of the distance and distance signless Laplacian matrices of graphs Atik F., Panigrahi P. By Graphs and Combinatorics, 34 1019-1035 (2018)
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Title On irreducible no-hole L(2, 1)-coloring of subdivision of graphs , 33(4), 1421-1442 DOI Mandal N., Panigrahi P. By Journal of Combinatorial Optimization 33 1421-1442 (2017)
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Normalized Laplacian Spectrum of some subdivision-coronas of two regular graphs Das A., Panigrahi P. By Linear and Multilinear Algebra 65 962-972 (2017)
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On the distance spectrum of distance regular graphs Fouzul Atik and Pratima Panigrahi By Linear Algebra and Its Applications Vol. 478 Elsevier 256-273 (2015)
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On Laplacian spectrum of power graphs of finite cyclic and dihedral groups Sriparna Chattopadhyay and Pratima Panigrahi By Linear and Multilinear Algebra Vol. 63 Elsevier 1345-1355 (2015)
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A lower bound for radio k-chromatic number Saha L., Panigrahi P. By Discrete Applied Mathematics 192 87-100 (2015)
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On the distance and distance signless Laplacian eigenvalues of graphs and the smallest Gersgorin disc Atik F., Panigrahi P. By Electronic Journal of Linear Algebra 34 191-204 (2018)
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Solutions of some L(2,1)-coloring related open problems Mandal N., Panigrahi P. By Discussiones Mathematicae Graph Throry 36 279-297 (2016)
- Co-Principal Investigator
Ph. D. Students
Aqib
Area of Research: Spectral Graph Theory
Komal Kumari
Area of Research: Algebraic Graph Theory
Kush Kumar
Area of Research: Spectral Graph Theory
Mainak Basunia
Area of Research: Matrix theory and applications
Tanu Rathi
Area of Research: Graph Theory
