The bilinear assignment problem: complexity and polynomially solvable special cases

A Ćustić, V Sokol, AP Punnen… - Mathematical programming, 2017 - Springer
In this paper we study the bilinear assignment problem (BAP) with size parameters m and n,
m ≤ nm≤ n. BAP is a generalization of the well known quadratic assignment problem and …

[HTML][HTML] Average value of solutions for the bipartite boolean quadratic programs and rounding algorithms

AP Punnen, P Sripratak, D Karapetyan - Theoretical Computer Science, 2015 - Elsevier
We consider domination analysis of approximation algorithms for the bipartite boolean
quadratic programming problem (BBQP) with m+ n variables. A closed-form formula is …

[PDF][PDF] Theory, algorithms and applications

J Bang-Jensen, G Gutin - … in Mathematics, Springer-Verlag London Ltd …, 2007 - avti13.clan.su
Graph theory is a very popular area of discrete mathematics with not only numerous
theoretical developments, but also countless applications to practical problems. As a …

Domination analysis of combinatorial optimization algorithms and problems

G Gutin, A Yeo - Graph Theory, Combinatorics and Algorithms …, 2005 - Springer
Domination Analysis of Combinatorial Optimization Algorithms and Problems Page 1 6
Domination Analysis of Combinatorial Optimization Algorithms and Problems Gregory Gutin …

Average value of solutions of the bipartite quadratic assignment problem and linkages to domination analysis

A Ćustić, AP Punnen - Operations Research Letters, 2017 - Elsevier
We study domination analysis of algorithms for the bipartite quadratic assignment problem.
A formula for the average objective function value of solutions is presented, whereas …

Domination analysis of algorithms for bipartite boolean quadratic programs

AP Punnen, P Sripratak, D Karapetyan - International Symposium on …, 2013 - Springer
For the bipartite boolean quadratic programming problem (BBQP) with m+ n variables, an O
(mn) algorithm is given to compute the average objective function value A of all solutions …

Combinatorial dominance guarantees for heuristic algorithms

D Berend, SS Skiena, Y Twitto - Discrete Mathematics & …, 2007 - dmtcs.episciences.org
An f(n) dominancebound on a heuristic for some problem is a guarantee that the heuristic
always returns a solution not worse than at least f(n) solutions. In this paper, we analyze …

Domination analysis of combinatorial optimization algorithms and problems

G Gutin, A Yeo - Graph Theory, Combinatorics and Algorithms …, 2006 - books.google.com
Domination analysis of combinatorial optimization algorithms and problems Page 150 6
Domination Analysis of Combinatorial Optimization Algorithms and Problems Gregory Gutin …

[PDF][PDF] Introduction to domination analysis

G Gutin, A Yeo - Manuscript.(Cited on pages 261 and 266.), 2005 - Citeseer
In the recently published book on the Traveling Salesman Problem, half of Chapter 6 [18] is
devoted to domination analysis (DA) of heuristics for the Traveling Salesman Problem …

Domination Analysis in Combinatorial Optimization

G Gutin - Encyclopedia of Optimization, 2024 - Springer
Exact algorithms allow one to find optimal solutions to NP-hard combinatorial optimization
(CO) problems. Many research papers report on solving large instances of some NP-hard …