Rainbow connection number of graphs with diameter 3
نویسندگان
چکیده
A path in an edge-colored graph G is rainbow if no two edges of the path are colored the same. The rainbow connection number rc(G) of G is the smallest integer k for which there exists a k-edge-coloring of G such that every pair of distinct vertices of G is connected by a rainbow path. Let f(d) denote the minimum number such that rc(G) ≤ f(d) for each bridgeless graph G with diameter d. In this paper, we shall show that 7 ≤ f(3) ≤ 9.
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ورودعنوان ژورنال:
- Discussiones Mathematicae Graph Theory
دوره 37 شماره
صفحات -
تاریخ انتشار 2017