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CORR
2010
Springer
135views Education» more  CORR 2010»
13 years 4 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
STACS
2010
Springer
13 years 9 months ago
Approximate Shortest Paths Avoiding a Failed Vertex: Optimal Size Data Structures for Unweighted Graphs
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 ...
Neelesh Khanna, Surender Baswana
STOC
2009
ACM
155views Algorithms» more  STOC 2009»
14 years 5 months ago
A nearly optimal oracle for avoiding failed vertices and edges
We present an improved oracle for the distance sensitivity problem. The goal is to preprocess a directed graph G = (V, E) with non-negative edge weights to answer queries of the f...
Aaron Bernstein, David R. Karger
CORR
2010
Springer
180views Education» more  CORR 2010»
13 years 2 months ago
Shortest path problem in rectangular complexes of global nonpositive curvature
Abstract. CAT(0) metric spaces constitute a far-reaching common generalization of Euclidean and hyperbolic spaces and simple polygons: any two points x and y of a CAT(0) metric spa...
Victor Chepoi, Daniela Maftuleac
WADS
2007
Springer
180views Algorithms» more  WADS 2007»
13 years 10 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