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» Constructing a Class of Symmetric Graphs
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DM
2007
106views more  DM 2007»
13 years 8 months ago
The Roberts characterization of proper and unit interval graphs
In this note, a constructive proof is given that the classes of proper interval graphs and unit interval graphs coincide, a result originally established by Fred S. Roberts. Addit...
Frédéric Gardi
FLOPS
2004
Springer
14 years 1 months ago
Complete Axiomatization of an Algebraic Construction of Graphs
This paper presents a complete (infinite) axiomatization for an algebraic construction of graphs, in which a finite fragment denotes the class of graphs with bounded tree width.
Mizuhito Ogawa
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...
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
DISOPT
2008
93views more  DISOPT 2008»
13 years 8 months ago
Exploiting planarity in separation routines for the symmetric traveling salesman problem
At present, the most successful approach to solving large-scale instances of the Symmetric Traveling Salesman Problem to optimality is branch-and-cut. The success of branch-and-cu...
Adam N. Letchford, Nicholas A. Pearson