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» Fast Heuristics for the Edge Coloring of Large Graphs
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DSD
2003
IEEE
100views Hardware» more  DSD 2003»
13 years 10 months ago
Fast Heuristics for the Edge Coloring of Large Graphs
Heuristic algorithms for coloring the edges of large undirected single-edge graphs with (or very close to) the minimal number of colors are presented. Compared to simulated anneal...
Mario Hilgemeier, Nicole Drechsler, Rolf Drechsler
MST
2010
98views more  MST 2010»
13 years 3 months ago
Why Almost All k-Colorable Graphs Are Easy to Color
Coloring a k-colorable graph using k colors (k ≥ 3) is a notoriously hard problem. Considering average case analysis allows for better results. In this work we consider the unif...
Amin Coja-Oghlan, Michael Krivelevich, Dan Vilench...
DAM
2010
116views more  DAM 2010»
13 years 4 months ago
Minimum sum edge colorings of multicycles
In the minimum sum edge coloring problem, we aim to assign natural numbers to edges of a graph, so that adjacent edges receive different numbers, and the sum of the numbers assign...
Jean Cardinal, Vlady Ravelomanana, Mario Valencia-...
ICCS
2004
Springer
13 years 10 months ago
Routing and Wavelength Assignments in Optical WDM Networks with Maximum Quantity of Edge Disjoint Paths
In the present paper routing and wavelength assignment (RWA) in optical WDM networks is discussed. Previous techniques on based on the integer linear programming and graph coloring...
Hyunseung Choo, Vladimir V. Shakhov
ALGORITHMICA
2002
159views more  ALGORITHMICA 2002»
13 years 4 months ago
Algorithmic Aspects of Acyclic Edge Colorings
A proper coloring of the edges of a graph G is called acyclic if there is no 2-colored cycle in G. The acyclic edge chromatic number of G, denoted by a (G), is the least number of...
Noga Alon, Ayal Zaks