Orthogonal graphs modulo power of 2
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Publication Details
Author list: Sriwongsa S.
Publisher: Taylor and Francis Ltd.
Publication year: 2019
Volume number: 68
Issue number: 11
ISSN: 0308-1087
eISSN: 0308-1087
Languages: English-Great Britain (EN-GB)
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Abstract
In this work, we define an orthogonal graph on the set of equivalence classes of (2ν + δ)−tuples over Z 2 n where n and ν are positive integers and δ = 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 δ = 0 and ν is odd is determined. Moreover, we work on subconstituents of this orthogonal graph. © 2019, © 2019 Informa UK Limited, trading as Taylor & Francis Group.
Keywords
Graph automorphisms, orthogonal graphs, quasi-strongly regular graphs, S. Cioaba
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