Title
First steps in combinatorial optimization on graphons: Matchings.
Abstract
Much of discrete optimization concerns problems whose underlying structures are graphs. Here, we translate the theory around the maximum matching problem to the setting of graphons. We study continuity properties of the thus defined matching ratio, limit versions of matching polytopes and vertex cover polytopes, and deduce a version of the LP duality for the problem of maximum fractional matching in the graphon setting.
Year
DOI
Venue
2017
10.1016/j.endm.2017.06.060
Electronic Notes in Discrete Mathematics
Keywords
Field
DocType
graphon,graph limits,matching,combinatorial optimization
Discrete mathematics,Graph,Combinatorics,Discrete optimization,Matching (graph theory),Combinatorial optimization,Duality (optimization),Polytope,Vertex cover,3-dimensional matching,Mathematics
Journal
Volume
ISSN
Citations 
61
1571-0653
0
PageRank 
References 
Authors
0.34
1
4
Name
Order
Citations
PageRank
Martin Dolezal100.34
Jan Hladký211318.59
Ping Hu3324.05
Diana Piguet4127.65