Publication
Operations Research Letters
Paper

Simpler analysis of LP extreme points for traveling salesman and survivable network design problems

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Abstract

We consider the Survivable Network Design Problem (SNDP) and the Symmetric Traveling Salesman Problem (STSP). We give simpler proofs of the existence of a frac(1, 2)-edge and 1-edge in any extreme point of the natural LP relaxations for the SNDP and STSP, respectively. We formulate a common generalization of both problems and show our results by a new counting argument. We also obtain a simpler proof of the existence of a frac(1, 2)-edge in any extreme point of the set-pair LP relaxation for the element connectivitySurvivable Network Design Problem (SNDPe l t). © 2010 Elsevier B.V. All rights reserved.

Date

01 May 2010

Publication

Operations Research Letters

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