Ramsey Numbers of Squares of Paths
نویسندگان
چکیده
The Ramsey number R(G,H) has been actively studied for the past 40 years, and it was determined for a large family of pairs (G,H) of graphs. The Ramsey number of paths was determined very early on, but surprisingly very little is known about the Ramsey number for the powers of paths. The r-th power P r n of a path on n vertices is obtained by joining any two vertices with distance at most r. We determine the exact value of R(P 2 n , P 2 n) for n large and discuss some related questions.
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عنوان ژورنال:
- Electronic Notes in Discrete Mathematics
دوره 49 شماره
صفحات -
تاریخ انتشار 2015