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 |
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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: | |
Depositing User: | LivePure Connector |
Date Deposited: | 28 Jan 2019 15:30 |
Last Modified: | 15 Aug 2022 02:39 |
URI: | https://ueaeprints.uea.ac.uk/id/eprint/69709 |
DOI: | 10.1016/j.disc.2018.12.020 |
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