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» Obstacle Numbers of Graphs
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GG
2004
Springer
14 years 2 months ago
Towards Graph Programs for Graph Algorithms
Abstract. Graph programs as introduced by Habel and Plump [8] provide a simple yet computationally complete language for computing functions and relations on graphs. We extend this...
Detlef Plump, Sandra Steinert
ITA
2006
163views Communications» more  ITA 2006»
13 years 9 months ago
Graph fibrations, graph isomorphism, and PageRank
PageRank is a ranking method that assigns scores to web pages using the limit distribution of a random walk on the web graph. A fibration of graphs is a morphism that is a local i...
Paolo Boldi, Violetta Lonati, Massimo Santini, Seb...
IM
2007
13 years 9 months ago
Pursuit-Evasion in Models of Complex Networks
Vertex pursuit games, such as the game of Cops and Robbers, are a simplified model for network security. In these games, cops try to capture a robber loose on the vertices of the ...
Anthony Bonato, Pawel Pralat, Changping Wang
TALG
2008
127views more  TALG 2008»
13 years 9 months ago
Fully dynamic algorithms for chordal graphs and split graphs
We present the rst dynamic algorithm that maintains a clique tree representation of a chordal graph and supports the following operations: (1) query whether deleting or inserting ...
Louis Ibarra
COMPGEOM
2008
ACM
13 years 11 months ago
Maximum thick paths in static and dynamic environments
We consider the problem of finding a maximum number of disjoint paths for unit disks moving amidst static or dynamic obstacles. For the static case we give efficient exact algorit...
Esther M. Arkin, Joseph S. B. Mitchell, Valentin P...