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DM
1998
91views more  DM 1998»
15 years 5 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
164
Voted
ESA
2009
Springer
109views Algorithms» more  ESA 2009»
15 years 10 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»
15 years 5 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»
15 years 5 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
15 years 10 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...