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Degree sum condition for fractional ID-$k$-factor-critical graphs

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A graph G is called a fractional ID-k-factor-critical graph if after deleting any independent set of G the resulting graph admits a fractional k-factor. In this paper, we prove that… Click to show full abstract

A graph G is called a fractional ID-k-factor-critical graph if after deleting any independent set of G the resulting graph admits a fractional k-factor. In this paper, we prove that for k 2, G is a fractional ID-k-factor-critical graph if ı.G/ n3 C k, 2.G/ 4n 3 , n 6k 8. The result is best possible in some sense. 2010 Mathematics Subject Classification: 05C70

Keywords: factor; condition fractional; sum condition; fractional factor; factor critical; degree sum

Journal Title: Miskolc Mathematical Notes
Year Published: 2017

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