Seidel Integral Complete Split Graphs

In the paper we consider a generalized join operation, that is, the H-join on graphs where H is an arbitrary graph. In terms of Seidel matrix of graphs we determine the Seidel spectrum of the graphs obtained by this operation on regular graphs. Some additional consequences regarding S-integral compl...

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Bibliographic Details
Published in:Mathematics interdisciplinary research (Online) 2019-12, Vol.4 (2), p.137-150
Main Authors: Pavel Hic, Milan Pokorny, Dragan Stevanovic
Format: Article
Language:English
Subjects:
complete split graph
h-join of graphs
seidel integral graph
seidel spectrum
Online Access:Get full text
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Summary:In the paper we consider a generalized join operation, that is, the H-join on graphs where H is an arbitrary graph. In terms of Seidel matrix of graphs we determine the Seidel spectrum of the graphs obtained by this operation on regular graphs. Some additional consequences regarding S-integral complete split graphs are also obtained, which allows to exhibit many infinite families of Seidel integral complete split graphs.
ISSN:2476-4965
DOI:10.22052/mir.2019.194302.1156