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IPCO
1992
112views Optimization» more  IPCO 1992»
13 years 5 months ago
The Metric Polytope
In this paper we study enumeration problems for polytopes arising from combinatorial optimization problems. While these polytopes turn out to be quickly intractable for enumeration...
Monique Laurent, Svatopluk Poljak
OL
2007
118views more  OL 2007»
13 years 4 months ago
A counterexample to the dominating set conjecture
Abstract The metric polytope metn is the polyhedron associated with all semimetrics on n nodes and defined by the triangle inequalities xij − xik − xjk ≤ 0 and xij + xik + x...
Antoine Deza, Gabriel Indik
DCG
2008
93views more  DCG 2008»
13 years 4 months ago
Metric Combinatorics of Convex Polyhedra: Cut Loci and Nonoverlapping Unfoldings
Let S be the boundary of a convex polytope of dimension d + 1, or more generally let S be a convex polyhedral pseudomanifold. We prove that S has a polyhedral nonoverlapping unfold...
Ezra Miller, Igor Pak
COSIT
2009
Springer
133views GIS» more  COSIT 2009»
13 years 11 months ago
A Metric Conceptual Space Algebra
Abstract. The modeling of concepts from a cognitive perspective is important for designing spatial information systems that interoperate with human users. Concept representations t...
Benjamin Adams, Martin Raubal
CORR
2006
Springer
79views Education» more  CORR 2006»
13 years 4 months ago
On the structure of generalized toric codes
Toric codes are obtained by evaluating rational functions of a nonsingular toric variety at the algebraic torus. One can extend toric codes to the so called generalized toric code...
Diego Ruano