NDLI: Node-Packing Problems with Integer Rounding Properties

Content Provider	Society for Industrial and Applied Mathematics (SIAM)
Author	Trotter, Jr., L. E. Tipnis, S. K.
Copyright Year	1989
Abstract	This paper considers an integer programming formulation of the node-packing problem $\max \{ 1 \cdot x:Ax\leqq w,x\geqq 0,x\,{\text{integral}}\} $, and its linear programming relaxation, $\max \{ 1 \cdot x:Ax \leqq w,x\geqq 0\} $, where A is the edge-node incidence matrix of a graph G and w is a nonnegative integral vector. An excluded subgraph characterization quantifying the difference between the values of these two programs is given. One consequence of this characterization is an explicit description for the integer rounding case. Specifically, a characterization is given for graphs G with the property that for every subgraph of G and for any choice of w the optimum objective function values of these two problems differ by less than unity.
Starting Page	407
Ending Page	412
Page Count	6
File Format	PDF
ISSN	08954801
DOI	10.1137/0402036
e-ISSN	10957146
Journal	SIAM Journal on Discrete Mathematics (SJDMEC)
Issue Number	3
Volume Number	2
Language	English
Publisher	Society for Industrial and Applied Mathematics
Publisher Date	2006-08-08
Access Restriction	Subscribed
Subject Keyword	Integer programming Factorization, matching, partitioning, covering and packing node-packing integer rounding optimization gap Programming involving graphs or networks
Content Type	Text
Resource Type	Article
Subject	Mathematics

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Node-Packing Problems with Integer Rounding Properties