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BIRTHDAY
2009
Springer
15 years 11 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
WADS
2007
Springer
114views Algorithms» more  WADS 2007»
15 years 10 months ago
Improved Algorithms for the Feedback Vertex Set Problems
Abstract. We present improved parameterized algorithms for the Feedback Vertex Set problem on both unweighted and weighted graphs. Both algorithms run in time O(5k kn2 ). The algor...
Jianer Chen, Fedor V. Fomin, Yang Liu 0002, Songji...
COR
2006
93views more  COR 2006»
15 years 4 months ago
Solving capacitated arc routing problems using a transformation to the CVRP
A well known transformation by Pearn, Assad and Golden reduces a Capacitated Arc Routing Problem (CARP) into an equivalent Capacitated Vehicle Routing Problem (CVRP). However, tha...
Humberto Longo, Marcus Poggi de Aragão, Edu...
SIAMDM
2008
118views more  SIAMDM 2008»
15 years 4 months ago
Ramsey-Type Problem for an Almost Monochromatic K4
In this short note we prove that there is a constant c such that every k-edge-coloring of the complete graph Kn with n 2ck contains a K4 whose edges receive at most two colors. Th...
Jacob Fox, Benny Sudakov
STACS
2010
Springer
15 years 11 months ago
Treewidth Reduction for Constrained Separation and Bipartization Problems
We present a method for reducing the treewidth of a graph while preserving all the minimal s−t separators. This technique turns out to be very useful in the design of parameteriz...
Dániel Marx, Barry O'Sullivan, Igor Razgon