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IPPS
1998
IEEE
13 years 9 months ago
NC Algorithms for the Single Most Vital Edge Problem with Respect to All Pairs Shortest Paths
For a weighted, undirected graph G = V;E where jVj = n and jEj = m, we examine the single most vital edge with respect to two measurements related to all-pairs shortest paths APSP....
Sven Venema, Hong Shen, Francis Suraweera
STACS
2010
Springer
13 years 11 months ago
Two-phase Algorithms for the Parametric Shortest Path Problem
Abstract. A parametric weighted graph is a graph whose edges are labeled with continuous real functions of a single common variable. For any instantiation of the variable, one obta...
Sourav Chakraborty, Eldar Fischer, Oded Lachish, R...
WADS
2005
Springer
111views Algorithms» more  WADS 2005»
13 years 10 months ago
On Geometric Dilation and Halving Chords
Let G be an embedded planar graph whose edges may be curves. The detour between two points, p and q (on edges or vertices) of G, is the ratio between the shortest path in G between...
Adrian Dumitrescu, Annette Ebbers-Baumann, Ansgar ...
WADS
2007
Springer
180views Algorithms» more  WADS 2007»
13 years 11 months ago
Spanners for Geometric Intersection Graphs
A ball graph is an intersection graph of a set of balls with arbitrary radii. Given a real number t > 1, we say that a subgraph G′ of a graph G is a t-spanner of G, if for eve...
Martin Fürer, Shiva Prasad Kasiviswanathan