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Traveling salesman polytopes and cut polytopes. Affine reducibility
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A. N. Maksimenko
Veröffentlicht/Copyright:
7. Februar 2014
Abstract
Let STSPm be the TSP (traveling salesman polytope) for m cities, and let CUTn be the cut polytope of the complete n-vertex graph. It is shown that CUTn is affinely equivalent to some face of the polytope STSPm with m = (2n−2)(2n−3). On the other hand, STSPm is shown to be an affine image of some face of the polytope CUTn with n = (m − 1)2 + 1.
Published Online: 2014-02-07
Published in Print: 2013-06
© 2014 by Walter de Gruyter GmbH & Co.
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Artikel in diesem Heft
- Masthead
- Distance-regular graph with the intersection array {45, 30, 7; 1, 2, 27} does not exist
- The impact of the growth rate of the packing number of graphs on the computational complexity of the independent set problem
- Traveling salesman polytopes and cut polytopes. Affine reducibility
- Minors of the constraint matrix in multi-index transport problems
- Cycle structure of power mappings in a residue classes ring
- A criterion for the automata realizable functions to be boundedly deterministic
- On the complexity of two-dimensional discrete logarithm problem in a finite cyclic group with effective automorphism of order
- The completeness criterion for some systems containing P-sets of automaton functions
- On the synthesis of circuits admitting complete fault detection test sets of constant length under arbitrary constant faults at the outputs of the gates
- Factorially solvable rings
- Identities with permutations and quasigroups isotopic to groups and to Abelian groups
- Classes of projectively equivalent quadrics over local rings
