Edge disjoint Polyp Packing
نویسندگان
چکیده
منابع مشابه
Edge Disjoint Polyp Packing
A graph is called a p{polyp if it consists of p simple paths of the same length and one endvertex of all these paths is a common vertex. The Polyp Packing problem is a generalization of the well known Bin Packing problem: How to pack a set of paths with diierent lengths to a set of polyps edge disjointly? It is proved that the Polyp Packing problem is NP-complete and that a modiication of the F...
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Given a graph G, we consider the problem of finding the largest set of edge-disjoint triangles contained in G. We show that even the simpler case of decomposing the edges of a sparse split graph G into edge-disjoint triangles is NP-complete. We show next that the case of a general G can be approximated within a factor of 3 5 in polynomial time, and is NP-hard to approximate within some constant...
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For a tournament T , let ν3(T ) denote the maximum number of pairwise edge-disjoint triangles (directed cycles of length 3) in T . Let ν3(n) denote the minimum of ν3(T ) ranging over all regular tournaments with n vertices (n odd). We conjecture that ν3(n) = (1 + o(1))n /9 and prove that n 11.43 (1− o(1)) ≤ ν3(n) ≤ n 9 (1 + o(1)) improving upon the best known upper bound of n −1 8 and lower bou...
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ژورنال
عنوان ژورنال: Discrete Applied Mathematics
سال: 1997
ISSN: 0166-218X
DOI: 10.1016/s0166-218x(97)00025-5