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Fractional \((g,f)\)-factors in graphs. (Chinese. English summary) Zbl 0991.05087

Summary: In this paper properties of fractional factors of graphs are discussed. The isolated toughness of graphs is defined and the relationship between the isolated toughness and fractional factors of graphs is studied. A sufficient condition for a graph to have fractional \((g,f)\)-factors with some constraints is given. Furthermore, some problems for further study are presented.

MSC:

05C70 Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.)
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