@article{ALSPACH2002527,
Abstract = {This paper deals with the enumeration of various families of Cayley graphs and digraphs. Both the directed and undirected cases of the following three families are studied: Cayley graphs on cyclic groups, known as circulant graphs, of square-free order, circulant graphs of arbitrary order n whose connection sets are subsets of the group of units of Zn, and Cayley graphs on elementary abelian groups. Resum{\'e} Cet article traite du d{\'e}nombrement de quelques familles de graphes de Cayley, simples ou orient{\'e}s. On consid{\`e}re les deux cas, simple et orient{\'e}s, des trois familles suivantes: la famille des graphes de Cayley sur les groupes cyclique, appel{\'e}s graphes circulants, dont l'ordre est un entier sans carr{\'e}, la famille des graphes circulants d'ordre n quelconque dont l'ensemble des connecteurs est un sous-ensemble du groupe des unit{\'e}s de Zn, ainsi que la famille des graphes de Cayley sur les groupes ab{\'e}liens {\'e}l{\'e}mentaires.},
Author = {Alspach, Brian and Mishna, Marni},
File = {Enumeration of Cayley graphs and digraphs - 1-s2.0-S0012365X02003199-main - a.pdf},
ISSN = {0012-365X},
Journal = {Discrete Mathematics},
Keywords = {Cayley graphs, Cycle index series, Enumeration},
Note = {LaCIM 2000 Conference on Combinatorics, Computer Science and Appl ications},
Number = {3},
Pages = {527-539},
Title = {Enumeration of Cayley graphs and digraphs},
URL = {https://www.sciencedirect.com/science/article/pii/S0012365X02003199},
Volume = {256},
Year = {2002},
bdsk-url-1 = {https://www.sciencedirect.com/science/article/pii/S0012365X02003199},
bdsk-url-2 = {https://doi.org/10.1016/S0012-365X(02)00319-9},
date-added = {2023-03-13 07:42:38 +0100},
date-modified = {2023-03-13 07:42:38 +0100},
doi = {10.1016/S0012-365X(02)00319-9}
}
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