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BIRTHDAY
2009
Springer
16 years 22 days 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 10 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 5 months 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
SODA
2012
ACM
253views Algorithms» more  SODA 2012»
13 years 8 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
SIAMDM
2010
105views more  SIAMDM 2010»
15 years 21 days 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