A Ramsey problem of Harary on graphs with prescribed size
نویسندگان
چکیده
Lower bounds on the Ramsey number r(G, H), as a function of the size of the graphs G and H, are determined. In particular, if H is a graph with n lines, lower bounds for r(H) = r(H, H) and r(K,, H) are calculated in terms of n in the first case and m and n in the second case. For m = 3 an upper bound is also determined. These results partially answer a question raised by Harary about the relationship between Ramsey numbers and the size of graphs.
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ورودعنوان ژورنال:
- Discrete Mathematics
دوره 67 شماره
صفحات -
تاریخ انتشار 1987