Small $\ell$-edge-covers in $k$-connected graphs

نویسنده

  • Zeev Nutov
چکیده

Let G = (V,E) be a k-edge-connected graph with edge costs {c(e) : e ∈ E} and let 1 ≤ l ≤ k − 1. We show by a simple and short proof, that G contains an l-edge cover I such that: c(I) ≤ l k c(E) if G is bipartite, or if l|V | is even, or if |E| ≥ k|V | 2 + k 2l ; otherwise, c(I) ≤ (

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تاریخ انتشار 2012