Amalgamations and Link Graphs of Cayley Graphs
نویسنده
چکیده
The link of a vertex v in a graph G is the subgraph induced by all vertices adjacent to v. If all the links in G are isomorphic to the same graph L, then L is called the link graph of G. We consider the operation of an amalgamation of graphs. Using the construction of the free product of groups with amalgamated subgroups, we give a sufficient condition for a class of link graphs of Cayley graphs to be closed under amalgamations.
منابع مشابه
Computing Wiener and hyper–Wiener indices of unitary Cayley graphs
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