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Title: The spectrum of eigenvalues for certain subgraphs of the k-point fixing graph
Authors: Ku, Cheng Yeaw
Lau, Terry
Wong, Kok Bin
Keywords: Cayley Graphs
Arrangement Graph
Issue Date: 2018
Source: Ku, C. Y., Lau, T., & Wong, K. B. (2018). The spectrum of eigenvalues for certain subgraphs of the k-point fixing graph. Linear Algebra and its Applications, 543, 72-91.
Series/Report no.: Linear Algebra and its Applications
Abstract: Let Sn be the symmetric group on n-points. The k-point fixing graph F(n, k) is defined to be the graph with vertex set Sn and two vertices g, h of F(n, k) are joined if and only if gh−1 fixes exactly k points. In this paper, we give a recurrence formula for the eigenvalues of a class of regular subgraphs of F(n, k). By using this recurrence formula, we will determine the smallest eigenvalues for this class of regular subgraphs of F(n, 1) for sufficiently large n.
ISSN: 0024-3795
DOI: 10.1016/j.laa.2017.12.018
Rights: © 2017 Elsevier Inc. This is the author created version of a work that has been peer reviewed and accepted for publication by Linear Algebra and Its Applications, Elsevier Inc. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [].
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:SPMS Journal Articles

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