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» On Bounds for the k-Partitioning of Graphs
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GD
2005
Springer
15 years 3 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 9 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 9 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 4 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 4 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