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DM
1998
91views more  DM 1998»
13 years 9 months ago
On some relations between 2-trees and tree metrics
A tree function (TF) t on a ÿnite set X is a real function on the set of the pairs of elements of X satisfying the four-point condition: for all distinct x; y; z; w ∈ X; t(xy)+...
Bruno Leclerc, Vladimir Makarenkov
ESA
2009
Springer
109views Algorithms» more  ESA 2009»
14 years 2 months ago
Linear-Time Recognition of Probe Interval Graphs
The interval graph for a set of intervals on a line consists of one vertex for each interval, and an edge for each intersecting pair of intervals. A probe interval graph is a varia...
Ross M. McConnell, Yahav Nussbaum
CORR
2010
Springer
109views Education» more  CORR 2010»
13 years 9 months ago
Pairwise Optimal Discrete Coverage Control for Gossiping Robots
Abstract-- We propose distributed algorithms to automatically deploy a group of robotic agents and provide coverage of a discretized environment represented by a graph. The classic...
Joseph W. Durham, Ruggero Carli, Francesco Bullo
JCT
2008
71views more  JCT 2008»
13 years 9 months ago
Primitive decompositions of Johnson graphs
A transitive decomposition of a graph is a partition of the edge set together with a group of automorphisms which transitively permutes the parts. In this paper we determine all t...
Alice Devillers, Michael Giudici, Cai Heng Li, Che...
WG
2005
Springer
14 years 3 months ago
Computation of Chromatic Polynomials Using Triangulations and Clique Trees
In this paper, we present a new algorithm for computing the chromatic polynomial of a general graph G. Our method is based on the addition of edges and contraction of non-edges of ...
Pascal Berthomé, Sylvain Lebresne, Kim Nguy...