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Eigenvalues of Cayley graphs [article]

Xiaogang Liu, Sanming Zhou
2019 arXiv   pre-print
We survey some of the known results on eigenvalues of Cayley graphs and their applications, together with related results on eigenvalues of Cayley digraphs and generalizations of Cayley graphs.  ...  A large number of results on spectra of Cayley graphs have been produced over the last more than four decades.  ...  . . . . . . . . 3.3.2 Cayley graphs on dicyclic groups . . . . . . . . . . . . . . . . . . . . . . . 3.3.3 Cayley graphs on a family of groups with order 6n . . . . . . . . . . . . .  ... 
arXiv:1809.09829v2 fatcat:57hq3pcaurhybgfuzzh6qi74nu

A Mathematical Bibliography of Signed and Gain Graphs and Allied Areas Compiled by

Thomas Zaslavsky
1996 unpublished
A large, nonbipartite, 2-connected graph with large minimum degree contains a circle of given odd length or is one of a single type of exceptional graph. [Question.  ...  A family of bipartite signed wheels that prevent A = (A −1 ) T . A family of bipartite signed graphs which allow it. [Annot. 6 Mar 2011.] (SG: QM) Meng-Hiot Lim See Harary, Lim, et al.  ...  A polar graph P G(G, A) of a group and a subset A is defined. [It is the Cayley digraph.]  ... 
fatcat:os5lveptfbbbplmcy4drb2zd3m