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DAM
2011
13 years 2 months ago
Optimization problems in multiple subtree graphs
We study various optimization problems in t-subtree graphs, the intersection graphs of tsubtrees, where a t-subtree is the union of t disjoint subtrees of some tree. This graph cl...
Danny Hermelin, Dror Rawitz
JCO
2006
66views more  JCO 2006»
13 years 7 months ago
Tree edge decomposition with an application to minimum ultrametric tree approximation
A k-decomposition of a tree is a process in which the tree is recursively partitioned into k edge-disjoint subtrees until each subtree contains only one edge. We investigated the p...
Chia-Mao Huang, Bang Ye Wu, Chang-Biau Yang
CCCG
2007
13 years 9 months ago
Approximation Algorithms for the Minimum-Length Corridor and Related Problems
Given a rectangular boundary partitioned into rectangles, the MLC-R problem is to find a Minimum EdgeLength Corridor that visits at least one point from the boundary of every rec...
Arturo Gonzalez-Gutierrez, Teofilo F. Gonzalez
FOCS
2000
IEEE
13 years 12 months ago
A polylogarithmic approximation of the minimum bisection
A bisection of a graph with n vertices is a partition of its vertices into two sets, each of size n/2. The bisection cost is the number of edges connecting the two sets. The proble...
Uriel Feige, Robert Krauthgamer
JAL
2006
175views more  JAL 2006»
13 years 7 months ago
Approximations for minimum and min-max vehicle routing problems
: We consider a variety of vehicle routing problems. The input to a problem consists of a graph G = (N, E) and edge lengths l(e) e E. Customers located at the vertices have to be ...
Esther M. Arkin, Refael Hassin, Asaf Levin