Transforming a graph into a 1-balanced graph

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Transforming a graph into a 1-balanced graph

Let G be a non-trivial, loopless graph and for each non-trivial subgraph H of G, let g(H) = |E(H)| |V(H)|−ω(H) . The graph G is 1-balanced if γ(G), the maximum among g(H), taken over all nontrivial subgraphs H of G, is attained when H = G. This quantity γ(G) is called the fractional arboricity of the graph G. The value γ(G) appears in a paper by Picard and Queyranne and has been studied extensi...

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ژورنال

عنوان ژورنال: Discrete Applied Mathematics

سال: 2009

ISSN: 0166-218X

DOI: 10.1016/j.dam.2008.03.012