Weighted Ramsey problem
نویسندگان
چکیده
A weighted graph is one in which every edge e is assigned a nonnegative number, called the weight of e. The weight of a graph is defined as the sum of the weights of its edges. In 2-edge-colored complete graph, by using Ramsey-type theorems, we obtain the existence of monochromatic subgraph which have many edges compared with its order. In this paper, we extend the concept of Ramsey problem to the weighted graphs, and we show the existence of a heavy monochromatic subgraph in 2-edgecolored graph with small order.
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عنوان ژورنال:
- Australasian J. Combinatorics
دوره 34 شماره
صفحات -
تاریخ انتشار 2006