The spectrum of eigenvalues for certain subgraphs of the k-point fixing graph

The spectrum of eigenvalues for certain subgraphs of the k-point fixing graph

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 subg...

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Main Authors: Ku, Cheng Yeaw, Lau, Terry, Wong, Kok Bin
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2018
Subjects:
Cayley Graphs
Arrangement Graph
Online Access:https://hdl.handle.net/10356/89348
http://hdl.handle.net/10220/44907
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-893482023-02-28T19:36:11Z The spectrum of eigenvalues for certain subgraphs of the k-point fixing graph Ku, Cheng Yeaw Lau, Terry Wong, Kok Bin School of Physical and Mathematical Sciences Cayley Graphs Arrangement Graph 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. Accepted version 2018-05-30T06:41:32Z 2019-12-06T17:23:29Z 2018-05-30T06:41:32Z 2019-12-06T17:23:29Z 2018 Journal Article 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. 0024-3795 https://hdl.handle.net/10356/89348 http://hdl.handle.net/10220/44907 10.1016/j.laa.2017.12.018 en Linear Algebra and its Applications © 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: [http://dx.doi.org/10.1016/j.laa.2017.12.018]. 18 p. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic Cayley Graphs
Arrangement Graph
spellingShingle Cayley Graphs
Arrangement Graph
Ku, Cheng Yeaw
Lau, Terry
Wong, Kok Bin
The spectrum of eigenvalues for certain subgraphs of the k-point fixing graph
description 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.
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Ku, Cheng Yeaw
Lau, Terry
Wong, Kok Bin
format Article
author Ku, Cheng Yeaw
Lau, Terry
Wong, Kok Bin
author_sort Ku, Cheng Yeaw
title The spectrum of eigenvalues for certain subgraphs of the k-point fixing graph
title_short The spectrum of eigenvalues for certain subgraphs of the k-point fixing graph
title_full The spectrum of eigenvalues for certain subgraphs of the k-point fixing graph
title_fullStr The spectrum of eigenvalues for certain subgraphs of the k-point fixing graph
title_full_unstemmed The spectrum of eigenvalues for certain subgraphs of the k-point fixing graph
title_sort spectrum of eigenvalues for certain subgraphs of the k-point fixing graph
publishDate 2018
url https://hdl.handle.net/10356/89348
http://hdl.handle.net/10220/44907
_version_ 1759853890495315968

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