Combinatorial Optimization: Packing and Covering: 74 (CBMS-NSF Regional Conference Series in Applied Mathematics, Series Number 74) - Softcover

Cornuéjols, Gérard

 
9780898714814: Combinatorial Optimization: Packing and Covering: 74 (CBMS-NSF Regional Conference Series in Applied Mathematics, Series Number 74)
Softcover
ISBN 10: 0898714818 ISBN 13: 9780898714814
Publisher: Society for Industrial and Applied Mathematics, 1987

Synopsis

This monograph presents new and elegant proofs of classical results and makes difficult results accessible. The integer programming models known as set packing and set covering have a wide range of applications. Sometimes, owing to the special structure of the constraint matrix, the natural linear programming relaxation yields an optimal solution that is integral, thus solving the problem. Sometimes, both the linear programming relaxation and its dual have integral optimal solutions. Under which conditions do such integrality conditions hold? This question is of both theoretical and practical interest. Min-max theorems, polyhedral combinatorics, and graph theory all come together in this rich area of discrete mathematics. This monograph presents several of these beautiful results as it introduces mathematicians to this active area of research.

"synopsis" may belong to another edition of this title.

Book Description

This monograph presents new and elegant proofs of classical results and makes difficult results accessible. The integer programming models known as set packing and set covering have a wide range of applications.

"About this title" may belong to another edition of this title.

Publisher
Society for Industrial and Applied Mathematics
Publication date
1987
Language
English
ISBN 10 
0898714818
ISBN 13 
9780898714814
Binding
Paperback
Number of pages
144