Cayley graphs of groupoids and generalized fat-trees

Bahman Khosravi ()
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Bahman Khosravi: Qom University of Technology

Indian Journal of Pure and Applied Mathematics, 2023, vol. 54, issue 4, 1125-1131

Abstract: Abstract 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) $${\mathcal {F}}$$ F , we present an algebraic structure on $${\mathcal {F}}$$ F induced by a Cayley multigraph of a power-associative groupoid $${\mathcal {S}}_{\mathcal {F}}$$ S F .

Keywords: Generalized fat-trees; Cayley graphs of groupoids; Primary: 05C25; Secondary: 94C15; 05C38 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s13226-022-00326-6

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