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P_2k-Factorization Induced Network Flow

by U.S. Rajput, Bal Govind Shukla
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 123 - Number 18
Year of Publication: 2015
Authors: U.S. Rajput, Bal Govind Shukla
10.5120/ijca2015905737

U.S. Rajput, Bal Govind Shukla . P_2k-Factorization Induced Network Flow. International Journal of Computer Applications. 123, 18 ( August 2015), 34-40. DOI=10.5120/ijca2015905737

@article{ 10.5120/ijca2015905737,
author = { U.S. Rajput, Bal Govind Shukla },
title = { P_2k-Factorization Induced Network Flow },
journal = { International Journal of Computer Applications },
issue_date = { August 2015 },
volume = { 123 },
number = { 18 },
month = { August },
year = { 2015 },
issn = { 0975-8887 },
pages = { 34-40 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume123/number18/22061-2015905737/ },
doi = { 10.5120/ijca2015905737 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T23:13:03.011424+05:30
%A U.S. Rajput
%A Bal Govind Shukla
%T P_2k-Factorization Induced Network Flow
%J International Journal of Computer Applications
%@ 0975-8887
%V 123
%N 18
%P 34-40
%D 2015
%I Foundation of Computer Science (FCS), NY, USA
Abstract

P_k-factorizations of complete bipartite graph have been studied by several researchers. For even value of k, the spectrum problem is completely solved [6, 7]. Here in this paper we will obtain a feasible network flow of P_2k-factorization of a complete bipartite graph satisfying the conditions of P_2k-factorization. In this paper we construct the disjoint flow paths in P_2k-factorization of complete bipartite graph K_(m,n) (for k=1 and 2). We deduce that P_2k-factorization of complete bipartite graph is helpful in finding the disjoint flow paths in a compete bipartite graph K_(m,n) (m=n). The result can be generalized for any value of k with m=n.

References
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Index Terms

Computer Science
Information Sciences

Keywords

Complete bipartite Graph Factorization of Graph Network Flow

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