Locally Pancyclic Graphs
نویسنده
چکیده
We prove the following theorem. Let G be a graph of order n and let W V(G). If |W | 3 and dG(x)+dG( y) n for every pair of non-adjacent vertices x, y # W, then either G contains cycles C , C, ..., C |W | such that C i contains exactly i vertices from W (i=3, 4, ..., |W | ), or |W |=n and G=Kn 2, n 2 , or else |W |=4, G[W]=K2, 2 . This generalizes a result of J. A. Bondy (1971, J. Combin. Theory, 11, 80 84) who proved the above for |W |=n, and also a recent result of B. Bolloba s and G. Brightwell (1993, Combinatorica, 13, 147 155), ensuring the existence of C |W | only. 1999 Academic Press
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ورودعنوان ژورنال:
- J. Comb. Theory, Ser. B
دوره 76 شماره
صفحات -
تاریخ انتشار 1999