Orthogonal graphs modulo power of 2

Journal article


Authors/Editors


Strategic Research Themes


Publication Details

Author listSriwongsa S

PublisherTaylor and Francis Group

Publication year2020

JournalLinear and Multilinear Algebra (0308-1087)

Volume number68

Issue number11

Start page2337

End page2345

Number of pages9

ISSN0308-1087

eISSN1563-5139

URLhttps://www.tandfonline.com/doi/full/10.1080/03081087.2019.1582611

LanguagesEnglish-Great Britain (EN-GB)


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Abstract

In this work, we define an orthogonal graph on the set of equivalence classes of (2 nu + delta) - tuples over Z(2n) where n and nu are positive integers and delta = 0, 1 or 2. We classify our graph if it is strongly regular or quasi-strongly regular and compute all parameters precisely. We show that our graph is arc transitive. The automorphisms group is given and the chromatic number of the graph except when delta = 0 and nu is odd is determined. Moreover, we work on subconstituents of this orthogonal graph.


Keywords

Graph automorphismsorthogonal graphsquasi-strongly regular graphs


Last updated on 2023-02-10 at 07:36