Nonexistence of certain cubic graphs with small diameters
نویسنده
چکیده
Jorgensen, L.K., Nonexistence of certain cubic graphs with small diameters, Discrete Mathematics 114 (1993) 2655273. We consider the maximum number of vertices in a cubic graph with small diameter. We show that a cubic graph of diameter 4 has at most 40 vertices. (The Moore bound is 46 and graphs with 38 vertices are known.) We also consider bipartite cubic graphs of diameter 5, for which the Moore bound is 62. We prove that in this case a graph with 56 vertices found by Bond and Delorme (1988) is optimal.
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ورودعنوان ژورنال:
- Discrete Mathematics
دوره 114 شماره
صفحات -
تاریخ انتشار 1993