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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Title On irreducible no-hole L(2, 1)-coloring of subdivision of graphs , 33(4), 1421-1442 DOI by Mandal N., Panigrahi P. Journal of Combinatorial Optimization 33 1421-1442 (2017)
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Normalized Laplacian Spectrum of some subdivision-coronas of two regular graphs by Das A., Panigrahi P. Linear and Multilinear Algebra 65 962-972 (2017)
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On the distance spectrum of distance regular graphs by Fouzul Atik and Pratima Panigrahi 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 by Sriparna Chattopadhyay and Pratima Panigrahi Linear and Multilinear Algebra Vol. 63 Elsevier 1345-1355 (2015)
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A lower bound for radio k-chromatic number by Saha L., Panigrahi P. Discrete Applied Mathematics 192 87-100 (2015)
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Solutions of some L(2,1)-coloring related open problems by Mandal N., Panigrahi P. Discussiones Mathematicae Graph Throry 36 279-297 (2016)
- Co-Principal Investigator
Ph. D. Students
Divya
Area of Research: Spectral Graph Theory and Topological Indices
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
Swagata Dutta
Area of Research: Spectral Graph Theory