Orthogonal graphs modulo power of 2
Journal article
Authors/Editors
Strategic Research Themes
Publication Details
Author list: Sriwongsa S
Publisher: Taylor and Francis Group
Publication year: 2020
Journal: Linear and Multilinear Algebra (0308-1087)
Volume number: 68
Issue number: 11
Start page: 2337
End page: 2345
Number of pages: 9
ISSN: 0308-1087
eISSN: 1563-5139
URL: https://www.tandfonline.com/doi/full/10.1080/03081087.2019.1582611
Languages: English-Great Britain (EN-GB)
View in Web of Science | View on publisher site | View citing articles in Web of Science
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 automorphisms, orthogonal graphs, quasi-strongly regular graphs