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» The Chromatic Number Of Graph Powers
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DAM
2007
94views more  DAM 2007»
15 years 6 months ago
The harmonious coloring problem is NP-complete for interval and permutation graphs
In this paper, we prove that the harmonious coloring problem is NP-complete for connected interval and permutation graphs. Given a simple graph G, a harmonious coloring of G is a ...
Katerina Asdre, Kyriaki Ioannidou, Stavros D. Niko...
COCOA
2007
Springer
16 years 10 days ago
On the Complexity of Some Colorful Problems Parameterized by Treewidth
Abstract. We study the complexity of several coloring problems on graphs, parameterized by the treewidth t of the graph: (1) The list chromatic number χl(G) of a graph G is defin...
Michael R. Fellows, Fedor V. Fomin, Daniel Lokshta...
INFOCOM
1993
IEEE
15 years 10 months ago
Power-Optimal Layout of Passive, Single-Hop, Fiber-Optic Interconnections Whose Capacity Increases with the Number of Stations
Passive, single-hop interconnections among N stations, each with several transmitters and receivers, provide a communication path between any two stations using one of the transmi...
Yitzhak Birk
COMBINATORICA
2008
130views more  COMBINATORICA 2008»
15 years 6 months ago
Two-point concentration in random geometric graphs
A random geometric graph Gn is constructed by taking vertices X1, . . . , Xn Rd at random (i.i.d. according to some probability distribution with a bounded density function) and...
Tobias Müller
JGAA
2007
104views more  JGAA 2007»
15 years 6 months ago
Bar k-Visibility Graphs
Let S be a set of horizontal line segments, or bars, in the plane. We say that G is a bar visibility graph, and S its bar visibility representation, if there exists a one-to-one c...
Alice M. Dean, William Evans, Ellen Gethner, Joshu...