A generalized implicit enumeration algorithm for graph coloring-Reference-Cited by-同舟云学术

A generalized implicit enumeration algorithm for graph coloring

Published:1985-04 Issue:4 Volume:28 Page:412-418
ISSN:0001-0782
Container-title:Communications of the ACM
language:en
Short-container-title:Commun. ACM

Author:

Kubale Marek¹,Jackowski Boguslaw²

Affiliation:

1. Technical Univ. of Gdan´sk, Gdan´sk, Poland

2. Polish Academy of Sciences, Gdan´sk, Poland

Abstract

A generalized algorithm for graph coloring by implicit enumeration is formulated. A number of backtracking sequential methods are discussed in terms of the generalized algorithm. Some are revealed to be partially correct and inexact. A few corrections to the invalid algorithms, which cause these algorithms to guarantee optimal solutions, are proposed. Finally, some computational results and remarks on the practical relevance of improved implicit enumeration algorithms are given.

Publisher

Association for Computing Machinery (ACM)

Subject

General Computer Science

Link

https://dl.acm.org/doi/pdf/10.1145/3341.3350

Reference12 articles.

1. New methods to color the vertices of a graph

2. Chromatic scheduling and the chromatic number problem;Brown R.J;Manage. Sri.,1972

3. Uniqueness of colorability and colorability of planar 4-regular graphs are NP-complete

4. Lecture Notes in Economics and Mathematical Sysfems.;Diirre K.,1973

Cited by 61 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On Monte Carlo Tree Search for Weighted Vertex Coloring;Evolutionary Computation in Combinatorial Optimization;2022

2. Advanced Techniques for Graph Colouring;Texts in Computer Science;2021

3. Integrated Crossover Based Evolutionary Algorithm for Coloring Vertex-Weighted Graphs;IEEE Access;2020

4. Three algorithms for graph locally harmonious colouring;Journal of Difference Equations and Applications;2015-12-30

5. A learning approach to the bandwidth multicolouring problem;Journal of Experimental & Theoretical Artificial Intelligence;2015-05-05