The Determination of Graph Isomorphism Using R Software
DOI:
https://doi.org/10.53555/nnms.v7i11.945Keywords:
adjacency matrix, permutation matrix, graph sequence, k-regular graph, eigenvalue, isomorphism mappingAbstract
This paper considers the determination of graph isomorphism using R. After the preliminaries about graph theory is introduced systematically, the graph isomorphism determination process are studied. Then computer program for the determination of graph isomorphism is written using R. According to these R codes, the paper determines the isomorphism of three 3-regular graphs on 6 vertices and three 3-regular graphs on 8 vertices respectively, and the output proves that the R codes are very practical and effective.
References
R. Dondi, G. Mauri, I. Zoppis, Graph isomorphism, Encyclopedia of Bioinformatics & Computational Biology 1 (2019) 933{939.
R. C. Read, D. G. Corneil, The graph isomorphism disease, Journal of Graph Theory 1 (4) (2010) 339{363.
R. Mathon, A note on the graph isomorphism counting problem, Information Processing Letters 8 (3) (1979) 131{136.
H. L. Bodlaender, Bodlaender, h.: Polynomial algorithm for graph isomorphism and chromatic index on partial k-trees. journal of algorithms 11(4), 631-643, Journal of Algorithms 11 (4) (1990) 631{643.
V. Arvind, P. P. Kurur, Graph isomorphism is in spp, Information & Computation 204 (5) (2013) 835{852.
M. Pelillo, Replicator equations, maximal cliques, and graph isomorphism, Neural Computation 11 (8) (1999) 1933.
S. D. Berry, J. B. Wang, Two-particle quantum walks: Entanglement and graph isomorphism testing, Physical Review A 83 (4) (2011) 786{792.
C. Moore, A. Russell, P. ?niady, On the impossibility of a quantum sieve algorithm for graph isomorphism, Siam Journal on Computing 39 (6) (2010) 2377{2396.
Lubiw, Anna, Some np-complete problems similar to graph isomorphism, Siam Journal on Computing 10 (1) (2006) 11{21.
Y. Aflalo, A. Bronstein, R. Kimmel, On convex relaxation of graph isomorphism, Proceedings of the National Academy of Sciences of the United States of America 112 (10) (2015) 2942{7.
Downloads
Published
Issue
Section
License
Copyright (c) 2020 Journal of Advance Research in Mathematics And Statistics (ISSN: 2208-2409)
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Terms & Condition
Submission -
Author can submit the manuscript through our online submission process or email us at the designated email id in contact details.
The other mode of submission not accepted than online and email.
Before submission please read the submission guidelines.
NN Publication accepts only article submitted in pdf/doc/docx/rtf file format. Another format except given file formats will no be considered .
Author will be responsible for the error mistakes in the submission files. The minor changes can be done without any cost after publication. But for major changes NN Publication may charges you the editing charges.
Publication (Online) -
The online publication is scheduled on last date of every month, but it can be delayed by 24 to 48 hours due to editorial process if huge number of articles comes to publish in single issue.
Automatic notificatation email will be sent to the all users on publication of an issue, so its author’s duty to check their email inbox or SPAM folder to get this notification.
After publication of article author can not withdraw their article.
If editor’s found any issue after publication of article then the NN Publication have the authority to remove the article from online website.
No refund will be provided after online publication of article.
Publication (Print) -
The print copy publication are sent as per the author’s request after 2 weeks of online publication of that issue.
NN Publication will ship the article by India Post and provide the consignment number on dispatch of print copy.
NN Publication follows all the guidelines of delivery provided by IndiaPost and hence not responsible for delay in delivery due to any kind of reasons.
Refund of hard copy will not be provided after dispatch or print of the journal.
NN Publication will be responsible for raise a complain if there is any issue occurs in delivery, but still will not be responsible for providing the refund.
NN Publication will be responsible to resend the print copy only and only if the print copy is lost or print copy is damaged in delivery / or there is delay more than 6 months.
According to India Post the delivery should be completed with in 1-3 weeks after dispatch of articles.
Privacy Policy-
NN Publicationl uses the email ids of authors and editors and readers for sending editorial or publication notification only, we do not reveal or sell the email ids to any other website or company.
