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AAAI
1990
15 years 5 months ago
LOGnets: A Hybrid Graph Spatial Representation for Robot Navigation
In this article we present a novel, hybrid graph spatial representation for robot navigation. This representation enables our mobile robot to build a model of its surroundings whi...
Peter K. Malkin, Sanjaya Addanki
COMBINATORICS
2007
73views more  COMBINATORICS 2007»
15 years 4 months ago
Using Determining Sets to Distinguish Kneser Graphs
This work introduces the technique of using a carefully chosen determining set to prove the existence of a distinguishing labeling using few labels. A graph G is said to be d-dist...
Michael O. Albertson, Debra L. Boutin
RSA
2006
88views more  RSA 2006»
15 years 4 months ago
Randomly coloring sparse random graphs with fewer colors than the maximum degree
We analyze Markov chains for generating a random k-coloring of a random graph Gn,d/n. When the average degree d is constant, a random graph has maximum degree (log n/ log log n), ...
Martin E. Dyer, Abraham D. Flaxman, Alan M. Frieze...
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ENDM
2000
121views more  ENDM 2000»
15 years 3 months ago
Finding the chromatic number by means of critical graphs
We propose a new exact algorithm for finding the chromatic number of a graph G. The algorithm attempts to determine the smallest possible induced subgraph G' of G which has t...
Francine Herrmann, Alain Hertz
STACS
2010
Springer
15 years 11 months ago
Construction Sequences and Certifying 3-Connectedness
Given two 3-connected graphs G and H, a construction sequence constructs G from H (e. g. from the K4) with three basic operations, called the Barnette-Grünbaum operations. These...
Jens M. Schmidt