Maximal cubic graphs with diameter 4
نویسنده
چکیده
We prove that there is no cubic graph with diameter 4 on 40 vertices. This implies that the maximal number of vertices of a (3,4)-graph is 38. ? 2000 Elsevier Science B.V. All rights reserved.
منابع مشابه
Nonexistence of certain cubic graphs with small diameters
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 M...
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عنوان ژورنال:
- Discrete Applied Mathematics
دوره 101 شماره
صفحات -
تاریخ انتشار 2000