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» The Chromatic Number Of Graph Powers
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DAM
2007
94views more  DAM 2007»
14 years 11 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
15 years 6 months 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 4 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»
14 years 12 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»
14 years 11 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...