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FCT
1995
Springer
13 years 8 months ago
Fast Algorithms for Maintaining Shortest Paths in Outerplanar and Planar Digraphs
Abstract. We present algorithms for maintaining shortest path information in dynamic outerplanar digraphs with sublogarithmic query time. By choosing appropriate parameters we achi...
Hristo Djidjev, Grammati E. Pantziou, Christos D. ...
PVLDB
2010
146views more  PVLDB 2010»
13 years 3 months ago
Graph Indexing of Road Networks for Shortest Path Queries with Label Restrictions
The current widespread use of location-based services and GPS technologies has revived interest in very fast and scalable shortest path queries. We introduce a new shortest path q...
Michael Rice, Vassilis J. Tsotras
WG
2010
Springer
13 years 3 months ago
On the Small Cycle Transversal of Planar Graphs
We consider the problem of finding a k-edge transversal set that covers all (simple) cycles of length at most s in a planar graph, where s ≥ 3 is a constant. This problem, refe...
Ge Xia, Yong Zhang
SODA
2010
ACM
205views Algorithms» more  SODA 2010»
14 years 2 months ago
Maximum Flows and Parametric Shortest Paths in Planar Graphs
We observe that the classical maximum flow problem in any directed planar graph G can be reformulated as a parametric shortest path problem in the oriented dual graph G . This ref...
Jeff Erickson
CORR
2010
Springer
135views Education» more  CORR 2010»
13 years 5 months ago
Approximate Shortest Paths Avoiding a Failed Vertex: Optimal Size Data Structures for Unweighted Graph
Let G = (V, E) be any undirected graph on V vertices and E edges. A path P between any two vertices u, v V is said to be t-approximate shortest path if its length is at most t tim...
Neelesh Khanna Surender Baswana