Author
Sriparna Chattopadhyay
Other affiliations: Homi Bhabha National Institute, National Institute of Foundry and Forge Technology, Indian Institute of Technology Kharagpur
Bio: Sriparna Chattopadhyay is an academic researcher from National Institute of Science Education and Research. The author has contributed to research in topics: Cyclic group & Laplacian matrix. The author has an hindex of 6, co-authored 14 publications receiving 100 citations. Previous affiliations of Sriparna Chattopadhyay include Homi Bhabha National Institute & National Institute of Foundry and Forge Technology.
Papers
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TL;DR: In this paper, the Laplacian spectrum of the power graph of the additive cyclic group and the dihedral group was studied and shown to be the union of that of and.
Abstract: The power graph of a finite group G is the graph whose vertices are the elements of G and two distinct vertices are adjacent if and only if one is an integral power of the other. In this paper, we study Laplacian spectrum of the power graph of additive cyclic group and the dihedral group . We show that the Laplacian spectrum of is the union of that of and . We find algebraic connectivity of and give bounds of the same for .
41 citations
TL;DR: In this article, the Laplacian eigenvalues of the zero divisor graph Γ ( Z n ) of the ring Z n were studied and it was shown that Γ( Z n t ) is integral for every prime p and positive integer t ≥ 2.
32 citations
TL;DR: A new upper bound is given for the vertex connectivity of $\kappa(\mathcal{P}(C_n)$ and it is determined when $n$ is a product of distinct prime numbers.
20 citations
TL;DR: In this article, the spectral radius of power graphs of cyclic groups C n and D 2 n and dicyclic groups Q 4 n was characterized and the spectral radii of these graphs were shown to be extremal.
13 citations
TL;DR: In this article, minimal cut-sets of the power graph of a finite non-cyclic nilpotent group which are associated with its maximal cyclic subgroups are studied.
Abstract: We study minimal cut-sets of the power graph of a finite non-cyclic nilpotent group which are associated with its maximal cyclic subgroups. As a result, we find the vertex connectivity of the power...
10 citations
Cited by
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01 Jan 2009
TL;DR: In this article, the authors introduce the concept of graph operations and modifications, and characterizations of spectra by characterizations by spectra and one eigenvalue, and Laplacians.
Abstract: Preface 1. Introduction 2. Graph operations and modifications 3. Spectrum and structure 4. Characterizations by spectra 5. Structure and one eigenvalue 6. Spectral techniques 7. Laplacians 8. Additional topics 9. Applications Appendix Bibliography Index of symbols Index.
398 citations
01 Jan 2016
TL;DR: An introduction to the theory of graph spectra is available in the book collection an online access to it is set as public so you can download it instantly and is universally compatible with any devices to read.
Abstract: an introduction to the theory of graph spectra is available in our book collection an online access to it is set as public so you can download it instantly. Our digital library hosts in multiple countries, allowing you to get the most less latency time to download any of our books like this one. Merely said, the an introduction to the theory of graph spectra is universally compatible with any devices to read.
222 citations
13 Nov 2013
TL;DR: This article gives a survey of all results on the power graphs of groups and semigroups obtained in the literature.
Abstract: This article gives a survey of all results on the power graphs of groups and semigroups obtained in the literature. Various conjectures due to other authors, questions and open problems are also included.
187 citations
01 Jan 2009
151 citations
Posted Content•
TL;DR: A survey of the known results on eigenvalues of Cayley graphs and their applications can be found in this article, together with related results on Cayley digraphs and generalizations of the Cayley graph.
Abstract: We survey some of the known results on eigenvalues of Cayley graphs and their applications, together with related results on eigenvalues of Cayley digraphs and generalizations of Cayley graphs.
38 citations