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» Shortest Paths in Distance-regular Graphs
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CORR
2008
Springer
74views Education» more  CORR 2008»
13 years 7 months ago
Shortest Vertex-Disjoint Two-Face Paths in Planar Graphs
Abstract. Let G be a directed planar graph of complexity n, each arc having a nonnegative length. Let s and t be two distinct faces of G; let s1, . . . , sk be vertices incident wi...
Éric Colin de Verdière, Alexander Sc...
TCOS
2010
13 years 5 months ago
Approximate Shortest Path Queries Using Voronoi Duals
We propose an approximation method to answer point-to-point shortest path queries in undirected edge-weighted graphs, based on random sampling and Voronoi duals. We compute a simp...
Shinichi Honiden, Michael E. Houle, Christian Somm...
ICALP
2004
Springer
14 years 28 days ago
Quantum Query Complexity of Some Graph Problems
Quantum algorithms for graph problems are considered, both in the adjacency matrix model and in an adjacency list-like array model. We give almost tight lower and upper bounds for ...
Christoph Dürr, Mark Heiligman, Peter H&oslas...
EDBT
2009
ACM
100views Database» more  EDBT 2009»
13 years 11 months ago
Efficiently indexing shortest paths by exploiting symmetry in graphs
Yanghua Xiao, Wentao Wu, Jian Pei, Wei Wang 0009, ...