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» On Bounds for the k-Partitioning of Graphs
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GD
2005
Springer
15 years 5 months ago
Bar k-Visibility Graphs: Bounds on the Number of Edges, Chromatic Number, and Thickness
Let S be a set of horizontal line segments, or bars, in the plane. We say that G is a bar visibility graph, and S its bar visibility representation, if there exists a one-to-one co...
Alice M. Dean, William Evans, Ellen Gethner, Joshu...
HEURISTICS
2002
155views more  HEURISTICS 2002»
14 years 11 months ago
Bounds and Heuristics for the Shortest Capacitated Paths Problem
Given a graph G, the Shortest Capacitated Paths Problem (SCPP) consists of determining a set of paths of least total length, linking given pairs of vertices in G, and satisfying c...
Marie-Christine Costa, Alain Hertz, Michel Mittaz
DAM
1999
132views more  DAM 1999»
14 years 11 months ago
Data-dependent Bounds for the General and the Asymmetric Stacker-Crane Problems
The Stacker-Crane Problem (SCP) isa sequencing problem, arising inscheduling and transportation, that consists of nding the minimum cost cycle on a mixed graph with oriented arcs ...
Giovanni Righini, Marco Trubian
APAL
2011
14 years 6 months ago
The provably total NP search problems of weak second order bounded arithmetic
We define a new NP search problem, the “local improvement” principle, about labellings of an acyclic, bounded-degree graph. We show that, provably in PV, it characterizes the...
Leszek Aleksander Kolodziejczyk, Phuong Nguyen, Ne...
SIAMJO
2010
110views more  SIAMJO 2010»
14 years 6 months ago
Estimating Bounds for Quadratic Assignment Problems Associated with Hamming and Manhattan Distance Matrices Based on Semidefinit
Quadratic assignment problems (QAPs) with a Hamming distance matrix for a hypercube or a Manhattan distance matrix for a rectangular grid arise frequently from communications and ...
Hans D. Mittelmann, Jiming Peng