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Improved Edmond Karps Algorithm for Network Flow Problem

by Chintan Jain, Deepak Garg
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 37 - Number 1
Year of Publication: 2012
Authors: Chintan Jain, Deepak Garg
10.5120/4576-6624

Chintan Jain, Deepak Garg . Improved Edmond Karps Algorithm for Network Flow Problem. International Journal of Computer Applications. 37, 1 ( January 2012), 48-53. DOI=10.5120/4576-6624

@article{ 10.5120/4576-6624,
author = { Chintan Jain, Deepak Garg },
title = { Improved Edmond Karps Algorithm for Network Flow Problem },
journal = { International Journal of Computer Applications },
issue_date = { January 2012 },
volume = { 37 },
number = { 1 },
month = { January },
year = { 2012 },
issn = { 0975-8887 },
pages = { 48-53 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume37/number1/4576-6624/ },
doi = { 10.5120/4576-6624 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:23:13.546944+05:30
%A Chintan Jain
%A Deepak Garg
%T Improved Edmond Karps Algorithm for Network Flow Problem
%J International Journal of Computer Applications
%@ 0975-8887
%V 37
%N 1
%P 48-53
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Network Flow Problems have always been among the best studied combinatorial optimization problems. Flow networks are very useful to model real world problems like, current flowing through electrical networks, commodity flowing through pipes and so on. Maximum flow problem is the classical network flow problem. In this problem, the maximum flow which can be moved from the source to the sink is calculated without exceeding the maximum capacity. Once, the maximum flow problem is solved it can be used to solve other network flow problems also. The FORD-FULKERSON algorithm is the general algorithm which can solve all the network flow problems. The improvement of the Ford Fulkerson algorithm is Edmonds-Karp algorithm which uses BFS procedure instead of DFS to find an augmenting path. The modified Edmonds-Karp algorithm is designed to solve the maximum flow problem in efficient manner.

References
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  10. Mircea Parpalea. Min-Max Algorithm For ThParametric Flow Problem Bulletin of the Transilvania University of Bra¸sov , Vol 3(52) , 2010
  11. Dorit S. Hochbaum. The Pseudoflow algorithm: A New Algorithm for the Maximum Flow Problem, Operations research, 2008
Index Terms

Computer Science
Information Sciences

Keywords

Edmonds-Karp algorithm Maximum flow problem Residual graph Ford-Fulkerson method

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