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» Faster shortest-path algorithms for planar graphs
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PDCAT
2007
Springer
15 years 5 months ago
Optimal Routing in Binomial Graph Networks
A circulant graph with n nodes and jumps j1, j2, ..., jm is a graph in which each node i, 0 ≤ i ≤ n−1, is adjacent to all the vertices i±jk mod n, where 1 ≤ k ≤ m. A bi...
Thara Angskun, George Bosilca, Bradley T. Vander Z...
STACS
2010
Springer
15 years 6 months ago
Log-space Algorithms for Paths and Matchings in k-trees
Reachability and shortest path problems are NL-complete for general graphs. They are known to be in L for graphs of tree-width 2 [14]. However, for graphs of treewidth larger than ...
Bireswar Das, Samir Datta, Prajakta Nimbhorkar
SIAMCOMP
2008
78views more  SIAMCOMP 2008»
14 years 11 months ago
I/O-Efficient Planar Separators
We present a new algorithm to compute a subset S of vertices of a planar graph G whose removal partitions G into O(N/h) subgraphs of size O(h) and with boundary size O( h) each. ...
Anil Maheshwari, Norbert Zeh
102
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ATMOS
2007
15 years 1 months ago
Maintenance of Multi-level Overlay Graphs for Timetable Queries
In railways systems the timetable is typically represented as a weighted digraph on which itinerary queries are answered by shortest path algorithms, usually running Dijkstra’s a...
Francesco Bruera, Serafino Cicerone, Gianlorenzo D...
WG
2010
Springer
14 years 10 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