The minimum degree of Ramsey-minimal graphs
نویسندگان
چکیده
We write H → G if every 2-coloring of the edges of graph H contains a monochromatic copy of graph G. A graph H is G-minimal if H → G, but for every proper subgraph H ′ of H, H ′ 6→ G. We define s(G) to be the minimum s such that there exists a G-minimal graph with a vertex of degree s. We prove that s(Kk) = (k − 1) and s(Ka,b) = 2 min(a, b) − 1. We also pose several related open problems. c © 2005 John Wiley & Sons, Inc.
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ورودعنوان ژورنال:
- Journal of Graph Theory
دوره 54 شماره
صفحات -
تاریخ انتشار 2007