Regular vertex diameter critical graphs
نویسنده
چکیده
A graph is called vertex diameter critical if its diameter increases when any vertex is removed. Regular vertex diameter critical graphs of every valency k ≥ 2 and diameter d ≥ 2 exist, raising the question of identifying the smallest such graphs. We describe an infinite family of k-regular vertex diameter critical graphs of diameter d with at most kd+ (2k − 3) vertices. This improves the previously known upper bound for all odd valencies k.
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ورودعنوان ژورنال:
- Australasian J. Combinatorics
دوره 26 شماره
صفحات -
تاریخ انتشار 2002