Title
A Matroid Generalization of the Stable Matching Polytope
Abstract
By solving a constrained matroid intersection problem, we give a matroid generalization of the stable marriage theorem of Gale and Shapley. We describe the related matroid-kernel polytope, an extension of the stable matching polytope. Linear conditions of the characterizations resemble to the ones that describe the matroid intersection polytope.
Year
DOI
Venue
2001
10.1007/3-540-45535-3_9
IPCO
Keywords
Field
DocType
linear condition,matroid generalization,stable matching polytope,related matroid-kernel polytope,stable marriage theorem,matroid intersection problem,matroid intersection polytope,stable marriage,stable matching
Matroid,Discrete mathematics,Birkhoff polytope,Combinatorics,Mathematical optimization,Matroid intersection,Oriented matroid,Uniform k 21 polytope,Matroid partitioning,Graphic matroid,Weighted matroid,Mathematics
Conference
ISBN
Citations 
PageRank 
3-540-42225-0
5
0.57
References 
Authors
5
1
Name
Order
Citations
PageRank
Tamás Fleiner124127.45