Title
Adjacency on the constrained assignment problem
Abstract
Let Q c , r be the integer hull of the intersection of the assignment polytope with a given hyper-plane H = { x = ( x ij ) ϵ R n × n : ∑ n i = 1 ∑ n j = 1 c ij x ij = r }. We show that the problem of checking whether two given extreme points of Q c , r are nonadjacent on Q c , r is solvable in O (n 5 ) time if c = ( c ij ) is a 0–1 matrix, and that it is NP-Complete if c is a general integer matrix.
Year
DOI
Venue
1998
10.1016/S0166-218X(98)00063-8
Discrete Applied Mathematics
Keywords
Field
DocType
computational complexity,integer hull,adjacency checking,constrained assignment problem,assignment problem,extreme point,combinatorial optimization
Integer,Adjacency list,Extreme point,Discrete mathematics,Combinatorics,Matrix (mathematics),Polytope,Assignment problem,Integer matrix,Mathematics,Computational complexity theory
Journal
Volume
Issue
ISSN
87
1-3
Discrete Applied Mathematics
Citations 
PageRank 
References 
0
0.34
2
Authors
2
Name
Order
Citations
PageRank
Abdo Y. Alfakih110311.35
Katta G. Murty260295.15