Highly irregular graphs with extreme numbers of edges
نویسندگان
چکیده
A simple connected graph is highly irregular if each of its vertices is adjacent only to vertices with distinct degrees. In this paper we find: (1) the greatest number of edges of a highly irregular graph with n vertices, where n is an odd integer (for n even this number is given in [1]), (2) the smallest number of edges of a highly irregular graph of given order.
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عنوان ژورنال:
- Discrete Mathematics
دوره 164 شماره
صفحات -
تاریخ انتشار 1997