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- W2384303422 abstract "Let G be a graph with vertex set V(G) and edge set E(G), and let g(x) and f(x) be two integervalued functions defined on V(G) such as 4≤g(x)≤f(x) for every x∈V(G). Then a (g,f)factor of G is a spanning subgraph F of G such as g(x)≤dF(x)≤f(x) for every x∈V(G). The (g,f)factorization of G is a partition of E(G) into edgedisjoint (g,f)factors. Let F={F1,F2,...,Fm} and H be the factorization and a subgraph of G, respectively. If Fi, 1≤i≤m, has exactly two edges in common with H, then it is said that F is 2orthogonal to H. This paper proves that for any 2msubgraph H of an (mg+m-1,mf-m+1)graph G, there exists a (g,f)factorization 2orthogonal to H." @default.
- W2384303422 created "2016-06-24" @default.
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- W2384303422 date "2003-01-01" @default.
- W2384303422 modified "2023-09-25" @default.
- W2384303422 title "A (g,f)-factorization 2-orthogonal to any subgraph" @default.
- W2384303422 hasPublicationYear "2003" @default.
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