On finite subnormal Cayley graphs
The electronic journal of combinatorics, Tome 28 (2021) no. 3
In this paper we introduce and study a type of Cayley graph – subnormal Cayley graph. We prove that a subnormal 2-arc transitive Cayley graph is a normal Cayley graph or a normal cover of a complete bipartite graph $\mathbf{K}_{p^d,p^d}$ with $p$ prime. Then we obtain a generic method for constructing half-symmetric (namely edge transitive but not arc transitive) Cayley graphs.
DOI :
10.37236/9934
Classification :
05C25, 20B05, 20B25
Mots-clés : subnormal 2-arc transitive Cayley graph, half-symmetric Cayley graphs
Mots-clés : subnormal 2-arc transitive Cayley graph, half-symmetric Cayley graphs
Affiliations des auteurs :
Shu Jiao Song  1
@article{10_37236_9934,
author = {Shu Jiao Song},
title = {On finite subnormal {Cayley} graphs},
journal = {The electronic journal of combinatorics},
year = {2021},
volume = {28},
number = {3},
doi = {10.37236/9934},
zbl = {1509.05095},
url = {http://geodesic.mathdoc.fr/articles/10.37236/9934/}
}
Shu Jiao Song. On finite subnormal Cayley graphs. The electronic journal of combinatorics, Tome 28 (2021) no. 3. doi: 10.37236/9934
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