01118nam a22001697a 450000500170000000800410001702200140005810000220007224500750009426000660016930000160023544000890025150500660034052004410040665000540084785600470090120240205121350.0240205b           ||||| |||| 00| 0 eng d  a0019-5588  aKhosravi, Bahman   aCayley graphs of groupoids and generalized fat-trees (Journal Article)  aNew Delhib:Indian National Science Academy | Springerc,2023  a1125-1131p.  aIndian Journal of Pure and Applied Mathematicsv, Volume 54: Number 4, December 2023  a***______{For Hard Copy, Please visit Library.}________***


  aAbstract: 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), we present an algebraic structure on induced by a Cayley multigraph of a power-associative groupoid.  aGeneralized fat-trees| Cayley graphs of groupoids  uhttps://doi.org/10.1007/s13226-022-00326-6