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DM
2007
100views more  DM 2007»
14 years 10 months ago
Improved bounds on acyclic edge colouring
We prove that the acyclic chromatic index a (G) 6 for all graphs with girth at least 9. We extend the same method to obtain a bound of 4.52 with the girth requirement g 220. We al...
Rahul Muthu, N. Narayanan, C. R. Subramanian
EOR
2007
69views more  EOR 2007»
14 years 10 months ago
The shortest multipaths problem in a capacitated dense channel
Abstract. In this paper, we present a simple polynomial-time algorithm solving the shortest multipaths problem in particular grid graphs called dense channels. Our work extends the...
Cédric Bentz, Marie-Christine Costa, Christ...
CORR
2004
Springer
136views Education» more  CORR 2004»
14 years 9 months ago
On Global Warming (Softening Global Constraints)
We describe soft versions of the global cardinality constraint and the regular constraint, with efficient filtering algorithms maintaining domain consistency. For both constraints,...
Willem Jan van Hoeve, Gilles Pesant, Louis-Martin ...
FOCS
2006
IEEE
15 years 4 months ago
Local Graph Partitioning using PageRank Vectors
A local graph partitioning algorithm finds a cut near a specified starting vertex, with a running time that depends largely on the size of the small side of the cut, rather than...
Reid Andersen, Fan R. K. Chung, Kevin J. Lang
COMPGEOM
2010
ACM
15 years 3 months ago
Finding shortest non-trivial cycles in directed graphs on surfaces
Let D be a weighted directed graph cellularly embedded in a surface of genus g, orientable or not, possibly with boundary. We describe algorithms to compute a shortest non-contrac...
Sergio Cabello, Éric Colin de Verdiè...