Average Distance and Edge-Connectivity I
نویسندگان
چکیده
The average distance μ(G) of a connected graph G of order n is the average of the distances between all pairs of vertices of G. We prove that if G is a λ-edge-connected graph of order n, then the bounds μ(G) ≤ 2n/15 + 9, if λ = 5, 6, μ(G) ≤ n/9 + 10, if λ = 7 and μ(G) ≤ n/(λ + 1) + 5, if λ ≥ 8 hold. Our bounds are shown to be best possible and our results solve a problem of Plesńık [12].
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ورودعنوان ژورنال:
- SIAM J. Discrete Math.
دوره 22 شماره
صفحات -
تاریخ انتشار 2008