Optimization with extremal dynamics

S Boettcher, AG Percus - complexity, 2002 - Wiley Online Library
A local‐search heuristic for finding high‐quality solutions for many hard optimization
problems is explored. The method is inspired by recent progress in understanding far‐from …

Vertex coloring of graphs via phase dynamics of coupled oscillatory networks

A Parihar, N Shukla, M Jerry, S Datta… - Scientific reports, 2017 - nature.com
While Boolean logic has been the backbone of digital information processing, there exist
classes of computationally hard problems wherein this paradigm is fundamentally inefficient …

Graph colouring meets deep learning: Effective graph neural network models for combinatorial problems

H Lemos, M Prates, P Avelar… - 2019 IEEE 31st …, 2019 - ieeexplore.ieee.org
Deep learning has consistently defied state-of-the-art techniques in many fields over the last
decade. However, we are just beginning to understand the capabilities of neural learning in …

Coloring random graphs

R Mulet, A Pagnani, M Weigt, R Zecchina - Physical review letters, 2002 - APS
We study the graph coloring problem over random graphs of finite average connectivity c.
Given a number q of available colors, we find that graphs with low connectivity admit almost …

Fuzzy colouring of fuzzy graphs

S Samanta, T Pramanik, M Pal - Afrika Matematika, 2016 - Springer
Colouring of fuzzy graphs has several applications in real world. In this paper, a new
concept of colouring of fuzzy graphs has been introduced. Also, some important terms like …

[PDF][PDF] Backbones in optimization and approximation

J Slaney, T Walsh - IJCAI, 2001 - cse.unsw.edu.au
We study the impact of backbones in optimization and approximation problems. We show
that some optimization problems like graph coloring resemble decision problems, with …

Understanding phase transitions with local optima networks: number partitioning as a case study

G Ochoa, N Veerapen, F Daolio… - … 17th European Conference …, 2017 - Springer
Phase transitions play an important role in understanding search difficulty in combinatorial
optimisation. However, previous attempts have not revealed a clear link between fitness …

Variations on memetic algorithms for graph coloring problems

L Moalic, A Gondran - Journal of Heuristics, 2018 - Springer
Graph vertex coloring with a given number of colors is a well-known and much-studied NP-
complete problem. The most effective methods to solve this problem are proved to be hybrid …

Extremal optimization: an evolutionary local-search algorithm

S Boettcher, AG Percus - Computational Modeling and Problem Solving in …, 2003 - Springer
A recently introduced general-purpose heuristic for finding high-quality solutions for many
hard optimization problems is reviewed. The method is inspired by recent progress in …

On the landscape of combinatorial optimization problems

MH Tayarani-N, A Prügel-Bennett - IEEE Transactions on …, 2013 - ieeexplore.ieee.org
This paper carries out a comparison of the fitness landscape for four classic optimization
problems: Max-Sat, graph-coloring, traveling salesman, and quadratic assignment. We have …