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AAAI
1990
14 years 11 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»
14 years 10 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»
14 years 10 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...
ENDM
2000
121views more  ENDM 2000»
14 years 9 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 5 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