A Note On Off-Diagonal Small On-Line Ramsey Numbers For Paths
نویسنده
چکیده
In this note we consider the on-line Ramsey numbers R(Pn, Pm) for paths. Using a high performance computing clusters, we calculated the values for off-diagonal numbers for paths of lengths at most 8. Also, we were able to check thatR(P9, P9) = 17, thus solving the problem raised in [5].
منابع مشابه
A note on small on-line Ramsey numbers for paths and their generalization
In this note, we consider the on-line Ramsey numbers R(Pn) for paths and their generalization. The standard on-line Ramsey game is played on an unbounded set of vertices, whereas the new variant of the game we consider is the game where the number of vertices is bounded. Using a computer cluster of 80 processors, we ‘calculated’ some new values for short paths, both for the generalized on-line ...
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عنوان ژورنال:
- Ars Comb.
دوره 107 شماره
صفحات -
تاریخ انتشار 2012