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Signed Graph and its Balance Theory in Transportation Problem

by Arun Kumar Baruah, Manoshi Kotoky
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 115 - Number 12
Year of Publication: 2015
Authors: Arun Kumar Baruah, Manoshi Kotoky
10.5120/20202-2455

Arun Kumar Baruah, Manoshi Kotoky . Signed Graph and its Balance Theory in Transportation Problem. International Journal of Computer Applications. 115, 12 ( April 2015), 9-12. DOI=10.5120/20202-2455

@article{ 10.5120/20202-2455,
author = { Arun Kumar Baruah, Manoshi Kotoky },
title = { Signed Graph and its Balance Theory in Transportation Problem },
journal = { International Journal of Computer Applications },
issue_date = { April 2015 },
volume = { 115 },
number = { 12 },
month = { April },
year = { 2015 },
issn = { 0975-8887 },
pages = { 9-12 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume115/number12/20202-2455/ },
doi = { 10.5120/20202-2455 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:54:38.120882+05:30
%A Arun Kumar Baruah
%A Manoshi Kotoky
%T Signed Graph and its Balance Theory in Transportation Problem
%J International Journal of Computer Applications
%@ 0975-8887
%V 115
%N 12
%P 9-12
%D 2015
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Signed graph can be used as a graph theoretic tool to study transportation problem. A transportation problem can be efficiently modeled as a graph where the nodes represent the destinations and the edges represent the relationship among them. With the help of signed graph the relationship between various destinations in a transportation network can be represented. The simplest approach to study such a group of destinations is to draw a graph in which the destinations are the nodes (or vertices) and there is an edge joining each pair of destinations who are related in some way. It can also be checked whether the graph is stable or unstable with the use of signed graph and balance theory.

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Index Terms

Computer Science
Information Sciences

Keywords

Signed graph balanced theory transport network partitionable and non partitionable signed graphs.

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