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» On a class of finite symmetric graphs
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104
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DISOPT
2006
110views more  DISOPT 2006»
15 years 17 days 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...
102
Voted
TIT
1998
78views more  TIT 1998»
15 years 5 days 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»
14 years 7 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...
97
Voted
COMBINATORICS
2006
118views more  COMBINATORICS 2006»
15 years 17 days 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
81
Voted
ECCC
2010
89views more  ECCC 2010»
15 years 18 days 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