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» On a class of finite symmetric graphs
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DISOPT
2006
110views more  DISOPT 2006»
13 years 8 months ago
New facets of the STS polytope generated from known facets of the ATS polytope
While it was known for a long time how to transform an asymmetric traveling salesman problem on the complete graph with n vertices into a symmetric traveling salesman problem on a...
Egon Balas, Robert Carr, Matteo Fischetti, Neil Si...
TIT
1998
78views more  TIT 1998»
13 years 8 months ago
Stationary Markov Random Fields on a Finite Rectangular Lattice
—This paper provides a complete characterization of stationary Markov random fields on a finite rectangular (nontoroidal) lattice in the basic case of a second-order neighborho...
Fréderic Champagnat, Jérôme Id...
SIAMDM
2010
194views more  SIAMDM 2010»
13 years 3 months ago
Combinatorics and Geometry of Finite and Infinite Squaregraphs
Abstract. Squaregraphs were originally defined as finite plane graphs in which all inner faces are quadrilaterals (i.e., 4-cycles) and all inner vertices (i.e., the vertices not in...
Hans-Jürgen Bandelt, Victor Chepoi, David Epp...
COMBINATORICS
2006
118views more  COMBINATORICS 2006»
13 years 8 months ago
Noncrossing Trees and Noncrossing Graphs
We give a parity reversing involution on noncrossing trees that leads to a combinatorial interpretation of a formula on noncrossing trees and symmetric ternary trees in answer to a...
William Y. C. Chen, Sherry H. F. Yan
ECCC
2010
89views more  ECCC 2010»
13 years 8 months ago
Lower bounds for designs in symmetric spaces
A design is a finite set of points in a space on which every "simple" functions averages to its global mean. Illustrative examples of simple functions are low-degree pol...
Noa Eidelstein, Alex Samorodnitsky