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A polynomial time heuristic for certain subgraph optimization problems with guaranteed worst case bound. (English) Zbl 0585.05032
Authors’ abstract: ”We introduce a notion of \(\lambda\)-extendible property of graphs and prove: If P is a \(\lambda\)-extendible property \((0<\lambda <1)\), then for a connected graph \(G=(V,E)\) and an objective function \(c: E\to R^+\) one can construct a spanning subgraph \(H=(V,F)\) which has the property P and satisfies \(c(F)=\lambda \cdot c(E)+1/2(1- \lambda)c(T),\) where c(T) is the weight of a minimal spanning tree (V,T) of G. Using the result one can construct e.g. large bipartite, balanced or acyclic subgraphs.”
Reviewer: Z.Ma

MSC:
05C99 Graph theory
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