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Existence of subgraph with orthogonal (g,f)-factorization

✍ Scribed by Yan Guiying; Pan Jiaofeng


Publisher
SP Science China Press
Year
1998
Tongue
English
Weight
316 KB
Volume
41
Category
Article
ISSN
1674-7283

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Let G G G = (V V V, E E E) be a graph and let g g g and f f f be two integervalued functions defined on V V V such that k k k ≀ ≀ ≀ g g g(x x x) ≀ ≀ ≀ f f f(x x x) for all x x x ∈ ∈ ∈ V

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LetGbeagraphandletF={F,,F,,..., F,,,} and H be a factorization and a subgraph of G, respectively. If H has exactly one edge in common with Fi for all i, 1 < i < m, then we say that F is orthogonal to H. Let g andf be two integer-valued functions defined on V(G) such that g(x) < f(x) for every x E V(