Cayley graphs of groupoids and generalized fat-trees

Recall that for a graph which is a Cayley graph of some group, using the group theoretical structure of the graph we can use algebraic methods for studying the network and its properties. As the main result of this note, we investigate a similar result for asymmetric multigraphs and graphs. Speciall...

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Bibliographic Details
Published in:Indian journal of pure and applied mathematics 2023-12, Vol.54 (4), p.1125-1131
Main Author: Khosravi, Bahman
Format: Article
Language:English
Subjects:
Algebra
Applications of Mathematics
Graph theory
Graphs
Group theory
Mathematics
Mathematics and Statistics
Numerical Analysis
Original Research
Citations: Items that this one cites
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Summary:Recall that for a graph which is a Cayley graph of some group, using the group theoretical structure of the graph we can use algebraic methods for studying the network and its properties. As the main result of this note, we investigate a similar result for asymmetric multigraphs and graphs. Specially, for a fat-tree (tree) F , we present an algebraic structure on F induced by a Cayley multigraph of a power-associative groupoid S F .
ISSN:0019-5588
0975-7465
DOI:10.1007/s13226-022-00326-6