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Reseach Article

A Novel Approach to Solve Graph Colouring Problem

by Ajay Narayan Shukla, M. L. Garg
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 182 - Number 38
Year of Publication: 2019
Authors: Ajay Narayan Shukla, M. L. Garg
10.5120/ijca2019918394

Ajay Narayan Shukla, M. L. Garg . A Novel Approach to Solve Graph Colouring Problem. International Journal of Computer Applications. 182, 38 ( Jan 2019), 26-28. DOI=10.5120/ijca2019918394

@article{ 10.5120/ijca2019918394,
author = { Ajay Narayan Shukla, M. L. Garg },
title = { A Novel Approach to Solve Graph Colouring Problem },
journal = { International Journal of Computer Applications },
issue_date = { Jan 2019 },
volume = { 182 },
number = { 38 },
month = { Jan },
year = { 2019 },
issn = { 0975-8887 },
pages = { 26-28 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume182/number38/30315-2019918394/ },
doi = { 10.5120/ijca2019918394 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-07T01:13:41.176840+05:30
%A Ajay Narayan Shukla
%A M. L. Garg
%T A Novel Approach to Solve Graph Colouring Problem
%J International Journal of Computer Applications
%@ 0975-8887
%V 182
%N 38
%P 26-28
%D 2019
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Given an undirected graph G= (V, E), the graph coloring problem consist in assigning a color to each vertex in such a manner that two adjacent vertex have assigned different colors. The processes of assigning the colors in the graph will done in a manner such that that the total number of different colors used is minimum. Most of the existing algorithms generally deal this problem by taking consideration above constraint during assigning the color to vertices in the graph, but some time above color assignment constraints creates some other implicit constraints which increases the complexity of the algorithms. In this paper we propose an algorithm for graph coloring problem which assign the colors to vertices of the graph with minimum number of colors and without creating any other additional constraints during color assignment that required to be handled explicitly.

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Index Terms

Computer Science
Information Sciences

Keywords

Sparse Graph Dense Graph Register allocation