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» Packing Cycles in Graphs
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BIRTHDAY
2009
Springer
15 years 7 months ago
Properly Coloured Cycles and Paths: Results and Open Problems
In this paper, we consider a number of results and six conjectures on properly coloured (PC) paths and cycles in edge-coloured multigraphs. We overview some known results and prov...
Gregory Gutin, Eun Jung Kim
AAIM
2010
Springer
144views Algorithms» more  AAIM 2010»
15 years 4 months ago
Kernelization for Cycle Transversal Problems
Abstract. We present new kernelization results for the s-cycle transversal problem for s > 3. In particular, we show a 6k2 kernel for 4-cycle transversal and a O(ks−1 ) kernel...
Ge Xia, Yong Zhang
JGT
2007
54views more  JGT 2007»
15 years 9 days ago
Overlap in consistent cycles
: A (directed) cycle C in a graph is called consistent provided there exists an automorphism of , acting as a 1-step rotation of C. A beautiful but not well-known result of J.H. Co...
Stefko Miklavic, Primoz Potocnik, Steve Wilson
124
Voted
SODA
2012
ACM
253views Algorithms» more  SODA 2012»
13 years 2 months ago
Kernelization of packing problems
Kernelization algorithms are polynomial-time reductions from a problem to itself that guarantee their output to have a size not exceeding some bound. For example, d-Set Matching f...
Holger Dell, Dániel Marx
75
Voted
SIAMDM
2010
105views more  SIAMDM 2010»
14 years 7 months ago
The Brunn--Minkowski Inequality and Nontrivial Cycles in the Discrete Torus
Let (Cd m) denote the graph whose set of vertices is Zd m in which two distinct vertices are adjacent iff in each coordinate either they are equal or they differ, modulo m, by at
Noga Alon, Ohad N. Feldheim