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SODA
1998
ACM
128views Algorithms» more  SODA 1998»
14 years 11 months ago
A Polynomial-Time Approximation Scheme for Weighted Planar Graph TSP
Given a planar graph on n nodes with costs weights on its edges, de ne the distance between nodes i and j as the length of the shortest path between i and j. Consider this as an i...
Sanjeev Arora, Michelangelo Grigni, David R. Karge...
EJC
2010
14 years 10 months ago
The flipping puzzle on a graph
Let S be a connected graph which contains an induced path of n-1 vertices, where n is the order of S. We consider a puzzle on S. A configuration of the puzzle is simply an n-dimen...
Hau-wen Huang, Chih-wen Weng
CPC
2007
76views more  CPC 2007»
14 years 10 months ago
Strong Isometric Dimension, Biclique Coverings, and Sperner's Theorem
The strong isometric dimension of a graph G is the least number k such that G isometrically embeds into the strong product of k paths. Using Sperner’s Theorem, the strong isomet...
Dalibor Froncek, Janja Jerebic, Sandi Klavzar, Pet...
SODA
2003
ACM
106views Algorithms» more  SODA 2003»
14 years 11 months ago
Maintaining all-pairs approximate shortest paths under deletion of edges
We present a hierarchical scheme for efficiently maintaining all-pairs approximate shortest-paths in undirected unweighted graphs under deletions of edges. An α-approximate short...
Surender Baswana, Ramesh Hariharan, Sandeep Sen
VLDB
2007
ACM
114views Database» more  VLDB 2007»
15 years 10 months ago
Optimization and evaluation of shortest path queries
We investigate the problem of how to evaluate efficiently a collection of shortest path queries on massive graphs that are too big to fit in the main memory. To evaluate a shortes...
Edward P. F. Chan, Heechul Lim