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DAM
2007
94views more  DAM 2007»
13 years 5 months ago
New formulations for the Kissing Number Problem
Determining the maximum number of D-dimensional spheres of radius r that can be adjacent to a central sphere of radius r is known as the Kissing Number Problem (KNP). The problem ...
Sergei Kucherenko, Pietro Belotti, Leo Liberti, Ne...
JCT
2007
134views more  JCT 2007»
13 years 5 months ago
Improved Delsarte bounds for spherical codes in small dimensions
ABSTRACT. We present an extension of the Delsarte linear programming method for spherical codes. For several dimensions it yields improved upper bounds including some new bounds on...
Florian Pfender
DAM
2008
88views more  DAM 2008»
13 years 5 months ago
On the asymmetric representatives formulation for the vertex coloring problem
We consider the vertex coloring problem, which may be stated as the problem of minimizing the number of labels that can be assigned to the vertices of a graph G such that each ver...
Manoel B. Campêlo, Victor A. Campos, Ricardo...
ATMOS
2010
308views Optimization» more  ATMOS 2010»
13 years 4 months ago
The Team Orienteering Problem: Formulations and Branch-Cut and Price
The Team Orienteering Problem is a routing problem on a graph with durations associated to the arcs and profits assigned to visiting the vertices. A fixed number of identical ve...
Marcus Poggi de Aragão, Henrique Viana, Edu...
DCG
1999
93views more  DCG 1999»
13 years 5 months ago
New Maximal Numbers of Equilibria in Bimatrix Games
This paper presents a new lower bound of 2:414d= p d on the maximal number of Nash equilibria in d d bimatrix games, a central concept in game theory. The proof uses an equivalent ...
Bernhard von Stengel