Hamilton decompositions of some line graphs
نویسنده
چکیده
The main result of this paper completely settles Bermond's conjecture for bipartite graphs of odd degree by proving that if G is a bipartite (2k+1)-regular graph that is Hamilton decomposable, then the line graph, L(G), of G is also Hamilton decomposable. A similar result is obtained for 5-regular graphs, thus providing further evidence to support Bermond's conjecture.
منابع مشابه
Hamilton decompositions of line graphs of some bipartite graphs
Some bipartite Hamilton decomposable graphs that are regular of degree δ ≡ 2 (mod 4) are shown to have Hamilton decomposable line graphs. One consequence is that every bipartite Hamilton decomposable graph G with connectivity κ(G) = 2 has a Hamilton decomposable line graph L(G).
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ورودعنوان ژورنال:
- Journal of Graph Theory
دوره 20 شماره
صفحات -
تاریخ انتشار 1995