Line Graphs and Circulants
نویسندگان
چکیده
The line graph of G, denoted L(G), is the graph with vertex set E(G), where vertices x and y are adjacent in L(G) iff edges x and y share a common vertex in G. In this paper, we determine all graphs G for which L(G) is a circulant graph. We will prove that if L(G) is a circulant, then G must be one of three graphs: the complete graph K4, the cycle Cn, or the complete bipartite graph Ka,b, for some a and b with gcd(a, b) = 1.
منابع مشابه
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عنوان ژورنال:
- Ars Comb.
دوره 105 شماره
صفحات -
تاریخ انتشار 2012