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» The Longest Path Problem Is Polynomial on Interval Graphs
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IROS
2006
IEEE
104views Robotics» more  IROS 2006»
15 years 7 months ago
Coverage Diameters of Polygons
— This paper formalizes and proposes an algorithm to compute coverage diameters of polygons in 2D. Roughly speaking, the coverage diameter of a polygon is the longest possible di...
Pawin Vongmasa, Attawith Sudsang
IPPS
1998
IEEE
15 years 5 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
15 years 8 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...
SODA
1998
ACM
128views Algorithms» more  SODA 1998»
15 years 2 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...
JCT
2007
111views more  JCT 2007»
15 years 1 months ago
Lattice point counts for the Shi arrangement and other affinographic hyperplane arrangements
Hyperplanes of the form xj = xi + c are called affinographic. For an affinographic hyperplane arrangement in Rn, such as the Shi arrangement, we study the function f(m) that counts...
David Forge, Thomas Zaslavsky