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» Packing Cycles in Graphs
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ISAAC
2009
Springer
142views Algorithms» more  ISAAC 2009»
13 years 9 months ago
Induced Packing of Odd Cycles in a Planar Graph
An induced packing of odd cycles in a graph is a packing such that there is no edge in a graph between any two odd cycles in the packing. We prove that the problem is solvable in t...
Petr A. Golovach, Marcin Kaminski, Daniël Pau...
STOC
2010
ACM
274views Algorithms» more  STOC 2010»
14 years 2 months ago
Odd Cycle Packing
We study the ratio between the minimum size of an odd cycle vertex transversal and the maximum size of a collection of vertex-disjoint odd cycles in a planar graph. We show that th...
Ken-ichi Kawarabayashi and Bruce Reed
JCO
2007
122views more  JCO 2007»
13 years 5 months ago
Packing 5-cycles into balanced complete m -partite graphs for odd m
Let Kn1,n2,...,nm be a complete m-partite graph with partite sets of sizes n1,n2,...,nm. A complete m-partite graph is balanced if each partite set has n vertices. We denote this c...
Ming-Hway Huang, Chin-Mei Fu, Hung-Lin Fu
JCO
2007
74views more  JCO 2007»
13 years 5 months ago
Maximum cyclic 4-cycle packings of the complete multipartite graph
A graph G is said to be m-sufficient if m is not exceeding the order of G, each vertex of G is of even degree, and the number of edges in G is a multiple of m. A complete multipar...
Shung-Liang Wu, Hung-Lin Fu
CORR
2011
Springer
138views Education» more  CORR 2011»
13 years 8 days ago
On the resilience of Hamiltonicity and optimal packing of Hamilton cycles in random graphs
Let k = (k1, . . . , kn) be a sequence of n integers. For an increasing monotone graph property P we say that a base graph G = ([n], E) is k-resilient with respect to P if for eve...
Sonny Ben-Shimon, Michael Krivelevich, Benny Sudak...