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» Constructing vertex-disjoint paths in (n, k)-star graphs
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100
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COMPGEOM
2000
ACM
15 years 2 months ago
Computing approximate shortest paths on convex polytopes
The algorithms for computing a shortest path on a polyhedral surface are slow, complicated, and numerically unstable. We have developed and implemented a robust and efficient algo...
Pankaj K. Agarwal, Sariel Har-Peled, Meetesh Karia
JCO
2011
113views more  JCO 2011»
14 years 4 months ago
Hardness and algorithms for rainbow connection
An edge-colored graph G is rainbow connected if any two vertices are connected by a path whose edges have distinct colors. The rainbow connection of a connected graph G, denoted r...
Sourav Chakraborty, Eldar Fischer, Arie Matsliah, ...
SPAA
2003
ACM
15 years 2 months ago
Optimal fault-tolerant linear arrays
This paper proves that for every positive integers n and k, we can explicitly construct a graph G with n+O(k) vertices and maximum degree 3, such that even after removing any k ve...
Toshinori Yamada, Shuichi Ueno
69
Voted
SODA
1996
ACM
95views Algorithms» more  SODA 1996»
14 years 11 months ago
RNC Algorithms for the Uniform Generation of Combinatorial Structures
We describe several RNC algorithms for generating graphs and subgraphs uniformly at random. For example, unlabelled undirected graphs are generated in O(lg3 n) time using O n2 lg3...
Michele Zito, Ida Pu, Martyn Amos, Alan Gibbons
STOC
2007
ACM
134views Algorithms» more  STOC 2007»
15 years 10 months ago
Hardness of routing with congestion in directed graphs
Given as input a directed graph on N vertices and a set of source-destination pairs, we study the problem of routing the maximum possible number of source-destination pairs on pat...
Julia Chuzhoy, Venkatesan Guruswami, Sanjeev Khann...