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CORR
2010
Springer
112views Education» more  CORR 2010»
15 years 7 months ago
Approximation Algorithms for Dominating Set in Disk Graphs
We consider the problem of finding a lowest cost dominating set in a given disk graph containing n disks. The problem has been extensively studied on subclasses of disk graphs, ye...
Matt Gibson, Imran A. Pirwani
DAM
2008
85views more  DAM 2008»
15 years 7 months ago
The competition numbers of complete tripartite graphs
For a graph G, it is known to be a hard problem to compute the competition number k(G) of the graph G in general. In this paper, we give an explicit formula for the competition nu...
Suh-Ryung Kim, Yoshio Sano
150
Voted
CORR
2006
Springer
134views Education» more  CORR 2006»
15 years 7 months ago
Max-Cut and Max-Bisection are NP-hard on unit disk graphs
We prove that the max-cut and max-bisection problems are NP-hard on unit disk graphs. We also show that -precision graphs are planar for > 1/ 2 and give a dichotomy theorem f...
Josep Díaz, Marcin Kaminski
152
Voted
APPROX
2009
Springer
107views Algorithms» more  APPROX 2009»
16 years 1 months ago
Approximations for Aligned Coloring and Spillage Minimization in Interval and Chordal Graphs
We consider the problem of aligned coloring of interval and chordal graphs. These problems have substantial applications to register allocation in compilers and have recently been ...
Douglas E. Carroll, Adam Meyerson, Brian Tagiku
202
Voted
COCOON
1999
Springer
15 years 11 months ago
Area Minimization for Grid Visibility Representation of Hierarchically Planar Graphs
Abstract. Hierarchical graphs are an important class of graphs for modelling many real applications in software and information visualization. In this paper, we shall investigate t...
Xuemin Lin, Peter Eades