The structure of (t, r)-regular graphs of large order
نویسندگان
چکیده
A graph is (t; r)-regular iit has at least one independent t-set of vertices and the open neighborhood of any such set contains exactly r vertices. Our goal is to show that when t¿ 3 and the order is su1ciently large, then the structure of (t; r)-regular graphs is similar to, but not exactly the same as the structure of (2; r)-regular graphs as derived by Faudree and Knisley. That is, there is an “almost” complete kernel of order at most r surrounded by satellite cliques, all of the same order, which are “mostly” joined to the kernel. c © 2003 Elsevier B.V. All rights reserved.
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ورودعنوان ژورنال:
- Discrete Mathematics
دوره 272 شماره
صفحات -
تاریخ انتشار 2003