Computing the Ramsey Number $R(K_5-P_3,K_5)$
نویسندگان
چکیده
We give a computer-assisted proof of the fact that R(K5 − P3,K5) = 25. This solves one of the three remaining open cases in Hendry’s table, which listed the Ramsey numbers for pairs of graphs on 5 vertices. We find that there exist no (K5−P3,K5)-good graphs containing a K4 on 23 or 24 vertices, where a graph F is (G, H)-good if F does not contain G and the complement of F does not containH. The unique (K5−P3,K5)good graph containing a K4 on 22 vertices is presented.
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ورودعنوان ژورنال:
- CoRR
دوره abs/1203.6536 شماره
صفحات -
تاریخ انتشار 2011