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» Coloring Weighted Series-Parallel Graphs
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JCT
2010
79views more  JCT 2010»
14 years 7 months ago
Vertex-coloring edge-weightings: Towards the 1-2-3-conjecture
Abstract. A weighting of the edges of a graph is called vertexcoloring if the weighted degrees of the vertices yield a proper coloring of the graph. In this paper we show that such...
Maciej Kalkowski, Michal Karonski, Florian Pfender
APPROX
2006
Springer
162views Algorithms» more  APPROX 2006»
15 years 1 months ago
Approximating Precedence-Constrained Single Machine Scheduling by Coloring
Abstract. This paper investigates the relationship between the dimension theory of partial orders and the problem of scheduling precedenceconstrained jobs on a single machine to mi...
Christoph Ambühl, Monaldo Mastrolilli, Ola Sv...
ICALP
2001
Springer
15 years 1 months ago
Routing in Trees
Given an undirected graph with positive edge weights, define Nq(v) for each node v to be the set of q nodes closest to v (including v itself and breaking ties by node ID). It is ...
Pierre Fraigniaud, Cyril Gavoille
ICIP
2009
IEEE
15 years 7 months ago
Edge-preserving Colorization using Data-Driven Random Walks with Restart
In this paper, we consider the colorization problem of grayscale images in which some color scribbles are initially given. Our proposed method is based on the weighted color blendi...
Tae Hoon Kim (Seoul National University), Kyoung M...
SIROCCO
1997
14 years 10 months ago
Static Frequency Assignment in Cellular Networks
A cellular network is generally modeled as a subgraph of the triangular lattice. In the static frequency assignment problem, each vertex of the graph is a base station in the netw...
Lata Narayanan, Sunil M. Shende