New families of graphs determined by their generalized spectrum

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Liu, Fenjin, Siemons, Johannes and Wang, Wei (2019) New families of graphs determined by their generalized spectrum. Discrete Mathematics, 342 (4). pp. 1108-1112. ISSN 0012-365X

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Abstract

We construct infinite families of graphs that are determined by their generalized spectrum. This construction is based on new formulae for the determinant of the walk matrix of a graph. All graphs constructed here satisfy a certain extremal divisibility condition for the determinant of their walk matrix.

Item Type:	Article
Uncontrolled Keywords:	graph spectrum,graphs determined by generalized spectrum,walk matrix,theoretical computer science,discrete mathematics and combinatorics ,/dk/atira/pure/subjectarea/asjc/2600/2614
Faculty \ School:	Faculty of Science > School of Mathematics
Related URLs:	http://www.scopus.com/inward/record.url?...
Depositing User:	LivePure Connector
Date Deposited:	28 Jan 2019 15:30
Last Modified:	22 Oct 2022 04:26
URI:	https://ueaeprints.uea.ac.uk/id/eprint/69709
DOI:	10.1016/j.disc.2018.12.020

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