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» On the Maximum Number of Cliques in a Graph
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ICALP
2011
Springer
12 years 11 months ago
Clique Clustering Yields a PTAS for max-Coloring Interval Graphs
We are given an interval graph G = (V, E) where each interval I ∈ V has a weight wI ∈ R+. The goal is to color the intervals V with an arbitrary number of color classes C1, C2...
Tim Nonner
ADHOCNOW
2004
Springer
14 years 29 days ago
Approximating the Minimum Number of Maximum Power Users in Ad Hoc Networks
Topology control is the problem of assigning transmission power values to the nodes of an ad hoc network so that the induced graph satisfies some specified property. The most fun...
Errol L. Lloyd, Rui Liu, S. S. Ravi
DM
2008
91views more  DM 2008»
13 years 7 months ago
Lower bounds for the game colouring number of partial k-trees and planar graphs
This paper discusses the game colouring number of partial k-trees and planar graphs. Let colg(PT k) and colg(P) denote the maximum game colouring number of partial k trees and the...
Jiaojiao Wu, Xuding Zhu
COMBINATORICA
2006
91views more  COMBINATORICA 2006»
13 years 7 months ago
The Number Of Orientations Having No Fixed Tournament
Let T be a fixed tournament on k vertices. Let D(n, T) denote the maximum number of orientations of an n-vertex graph that have no copy of T. We prove that D(n, T) = 2tk-1(n) for ...
Noga Alon, Raphael Yuster
COMBINATORICA
2011
12 years 7 months ago
On the chromatic number of random geometric graphs
Given independent random points X1, . . . , Xn ∈ Rd with common probability distribution ν, and a positive distance r = r(n) > 0, we construct a random geometric graph Gn wi...
Colin McDiarmid, Tobias Müller