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» Packing Cycles in Graphs
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WG
2009
Springer
15 years 7 months ago
Fast Exact Algorithms for Hamiltonicity in Claw-Free Graphs
The Hamiltonian Cycle problem asks if an n-vertex graph G has a cycle passing through all vertices of G. This problem is a classic NP-complete problem. So far, finding an exact al...
Hajo Broersma, Fedor V. Fomin, Pim van 't Hof, Dan...
99
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WG
2010
Springer
14 years 10 months ago
On the Small Cycle Transversal of Planar Graphs
We consider the problem of finding a k-edge transversal set that covers all (simple) cycles of length at most s in a planar graph, where s ≥ 3 is a constant. This problem, refe...
Ge Xia, Yong Zhang
GECCO
2006
Springer
147views Optimization» more  GECCO 2006»
15 years 4 months ago
Generalized cycle crossover for graph partitioning
We propose a new crossover that generalizes cycle crossover to permutations with repetitions and naturally suits partition problems. We tested it on graph partitioning problems ob...
Alberto Moraglio, Yong-Hyuk Kim, Yourim Yoon, Byun...
DM
2008
84views more  DM 2008»
15 years 13 days ago
Cyclic hamiltonian cycle systems of the complete graph minus a 1-factor
In this paper, we prove that cyclic hamiltonian cycle systems of the complete graph minus a 1-factor, Kn - I, exist if and only if n 2, 4( mod 8) and n = 2p with p
Heather Jordon, Joy Morris
IPL
2007
74views more  IPL 2007»
15 years 8 days ago
Minimum cycle bases of direct products of complete graphs
This paper presents a construction of a minimum cycle basis for the direct product of two complete graphs on three or more vertices. With the exception of two special cases, such ...
Richard Hammack