Covering Graphs: The Covering Problem Solved

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چکیده

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Covering Graphs: The Covering Problem Solved

For every fixed graph H, we determine the H-covering number of Kn, for all n > n0(H). We prove that if h is the number of edges of H, and gcd(H) = d is the greatest common divisor of the degrees of H, then there exists n0 = n0(H), such that for all n > n0, C(H,Kn) = d dn 2h dn− 1 d ee, unless d is even, n = 1 mod d and n(n− 1)/d+ 1 = 0 mod (2h/d), in which case C(H,Kn) = d ( n 2 ) h e+ 1. Our m...

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ژورنال

عنوان ژورنال: Journal of Combinatorial Theory, Series A

سال: 1998

ISSN: 0097-3165

DOI: 10.1006/jcta.1998.2867