Document Type
Working Paper
Abstract
This note investigates the boundary between polynomially-solvable Max Cut and NP Hard Max Cut instances when they are classified only on the basis of the sign pattern of the objective function coefficients, i.e., of the orthant containing the objective function vector. It turns out that the matching number of the subgraph induced by the positive edges is the key parameter that allows us to differentiate between polynomially-solvable and hard instances of the problem. We give some applications of the polynomially solvable cases.
Publication Date
1-4-2002
Publisher
Indian Institute of Management Bangalore
Pagination
8p.
Recommended Citation
Mccormick, Thomas S; Rao, Mendu Rammohan; and Rinaldi, Giovanni, "Easy with difficulty objective functions for max cut" (2002). Working Papers. 209.
https://research.iimb.ac.in/work_papers/209
Relation
IIMB Working Paper-204