An ore-type condition for the existence ofk-factors in graphs |
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| Authors: | Tadashi Iida Tsuyoshi Nishimura |
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| Institution: | (1) Department of Mathematics, Tokai University, 259-12 Hiratsuka, Kanagawa, Japan;(2) Department of Applied Mathematics, Science University of Tokyo, Shinjuku-ku, 162 Tokyo, Japan;(3) Present address: Department of Mathematics, Akashi College of Technology, 674 Vozumi, Akashi, Japan |
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| Abstract: | Letk be a positive integer, and letG be a graph of ordern withn  4k – 5,kn even and minimum degree at leastk. We prove that if the degree sum of each pair of nonadjacent vertices is at leastn, thenG has ak-factor. |
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