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COCOON
1999
Springer
15 years 11 months ago
On Routing in Circulant Graphs
We investigate various problems related to circulant graphs – finding the shortest path between two vertices, finding the shortest loop, and computing the diameter. These probl...
Jin-yi Cai, George Havas, Bernard Mans, Ajay Nerur...
GD
1999
Springer
15 years 11 months ago
Visibility Representations of Complete Graphs
Abstract. In this paper we study 3-dimensional visibility representations of complete graphs. The vertices are represented by equal regular polygons lying in planes parallel to the...
Robert Babilon, Helena Nyklová, Ondrej Pang...
FLAIRS
2007
15 years 9 months ago
Maintaining Arc-Consistency over Mutex Relations in Planning Graphs during Search
We deal with the search process of the GraphPlan algorithm in this paper. We concentrate on a problem of finding supports for a sub-goal which arises during the search. We model t...
Pavel Surynek, Roman Barták
CORR
2010
Springer
142views Education» more  CORR 2010»
15 years 6 months ago
Graph Zeta Function in the Bethe Free Energy and Loopy Belief Propagation
We propose a new approach to the analysis of Loopy Belief Propagation (LBP) by establishing a formula that connects the Hessian of the Bethe free energy with the edge zeta functio...
Yusuke Watanabe, Kenji Fukumizu
JGAA
2006
108views more  JGAA 2006»
15 years 6 months ago
Planar embeddability of the vertices of a graph using a fixed point set is NP-hard
Let G = (V, E) be a graph with n vertices and let P be a set of n points in the plane. We show that deciding whether there is a planar straight-line embedding of G such that the v...
Sergio Cabello