C
k
-factorization of complete bipartite graphs |
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| Authors: | Hikoe Enomoto Takashi Miyamoto Kazuhiko Ushio |
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| Institution: | (1) Department of Information Science, Faculty of Science, University of Tokyo, 113 Tokyo, Japan;(2) Support System Development Department, Micro Computer Software Development Laboratory, NEC Corporation, Shibaura, Minato-ku, 108 Tokyo, Japan;(3) Department of Industrial Engineering, Faculty of Science and Technology, Kinki University, 577 Osaka, Japan |
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| Abstract: | In this paper, it is shown that a necessary and sufficient condition for the existence of aC
k-factorization ofK
m,n is (i)m = n  0 (mod 2), (ii)k 0 (mod 2),k  4 and (iii) 2n 0 (modk) with precisely one exception, namely m =n = k = 6. |
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| Keywords: | |
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