Title
Connectivity of submodular functions
Abstract
The notion of connectivity for submodular functions was introduced by Cunningham. This paper relates the connectivity of such a function f to that of certain submodular functions which are derived from f. In particular, we prove a generalisation of the well-known matroid result that, for every element x of a connected matroid M, either the deletion or contraction of x from M is connected.
Year
DOI
Venue
1992
10.1016/0012-365X(92)90140-B
Discrete Mathematics
Field
DocType
Volume
Matroid,Discrete mathematics,Combinatorics,Social connectedness,Generalization,Submodular set function,Matroid partitioning,Mathematics
Journal
105
Issue
ISSN
Citations 
1-3
0012-365X
3
PageRank 
References 
Authors
0.59
2
2
Name
Order
Citations
PageRank
James Oxley139757.57
Geoff Whittle247157.57