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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2015, Volume 12, Pages 92–100
DOI: https://doi.org/10.17377/semi.2015.12.008 (Mi semr571) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Discrete mathematics and mathematical cybernetics

Note on exact values of multiplicities of eigenvalues of the Star graph

Ekaterina N. Khomyakovaa, Elena V. Konstantinovaba

a Novosibirsk State University, 2, Pirogova st., 630090, Novosibirsk, Russia
b Sobolev Institute of Mathematics, 4, Koptyug av., 630090, Novosibirsk, Russia
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DOI: https://doi.org/10.17377/semi.2015.12.008
Abstract: The Star graph is the Cayley graph on the symmetric group $Sym_n$ generated by the set of transpositions $\{(1 2),(1 3),\ldots,(1 n)\}$. A Chapuy–Feray combinatorial approach is used to obtain multiplicities of eigenvalues. Exact values are calculated up to $n=10$ and compared with lower bounds on multiplicities of eigenvalues for this graph.
Keywords: Cayley graphs; Star graph; graph spectrum; eigenvalues.
Received November 25, 2014, published February 20, 2015
Document Type: Article
UDC: 519.1
MSC: 05C25, 05C50, 05E10
Language: English
Citation: Ekaterina N. Khomyakova, Elena V. Konstantinova, “Note on exact values of multiplicities of eigenvalues of the Star graph”, Sib. Èlektron. Mat. Izv., 12 (2015), 92–100
Citation in format AMSBIB
\Bibitem{KhoKon15}
\by Ekaterina~N.~Khomyakova, Elena~V.~Konstantinova
\paper Note on exact values of multiplicities of eigenvalues of the Star graph
\jour Sib. \`Elektron. Mat. Izv.
\yr 2015
\vol 12
\pages 92--100
\mathnet{http://mi.mathnet.ru/semr571}
\crossref{https://doi.org/10.17377/semi.2015.12.008}
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