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» From Path Graphs to Directed Path Graphs
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133
Voted
SODA
1998
ACM
128views Algorithms» more  SODA 1998»
15 years 4 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
15 years 2 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
106
Voted
CPC
2007
76views more  CPC 2007»
15 years 2 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»
15 years 4 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»
16 years 3 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