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» Faster shortest-path algorithms for planar graphs
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PDCAT
2007
Springer
14 years 3 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
14 years 4 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»
13 years 9 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
ATMOS
2007
13 years 11 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
13 years 8 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