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» Constructing vertex-disjoint paths in (n, k)-star graphs
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ESA
1994
Springer
138views Algorithms» more  ESA 1994»
15 years 10 months ago
Efficient Construction of a Bounded Degree Spanner with Low Weight
Let S be a set of n points in IRd and let t > 1 be a real number. A t-spanner for S is a graph having the points of S as its vertices such that for any pair p, q of points ther...
Sunil Arya, Michiel H. M. Smid
ISAAC
2005
Springer
118views Algorithms» more  ISAAC 2005»
15 years 11 months ago
External Data Structures for Shortest Path Queries on Planar Digraphs
In this paper we present space-query trade-offs for external memory data structures that answer shortest path queries on planar directed graphs. For any S = Ω(N1+ ) and S = O(N2...
Lars Arge, Laura Toma
ESA
2004
Springer
95views Algorithms» more  ESA 2004»
15 years 11 months ago
On Dynamic Shortest Paths Problems
We obtain the following results related to dynamic versions of the shortest-paths problem: (i) Reductions that show that the incremental and decremental singlesource shortest-paths...
Liam Roditty, Uri Zwick
ARSCOM
2005
64views more  ARSCOM 2005»
15 years 6 months ago
Hamilton Paths in Certain Arithmetic Graphs
For each integer m 1, consider the graph Gm whose vertex set is the set N = {0, 1, 2, . . . } of natural numbers and whose edges are the pairs xy with y = x + m or y = x - m or y...
Paul A. Russell
MST
2010
106views more  MST 2010»
15 years 4 months ago
Constrained-Path Labellings on Graphs of Bounded Clique-Width
Given a graph G we consider the problem of preprocessing it so that given two vertices x,y and a set X of vertices, we can efficiently report the shortest path (or just its length...
Bruno Courcelle, Andrew Twigg