A breadth-first search tree construction for multiplicative circulant graphs

In this paper, we give a recursive method in constructing a breadth-first search tree for multiplicative circulant graphs of order power of odd. We then use the proposed construction in reproving some results concerning multiplicative circulant graph’s diameter, average distance and distance spectra...

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Main Authors: Antalan, John Rafael M., Campeña, Francis Joseph H.
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Published: Animo Repository 2021
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Online Access:https://animorepository.dlsu.edu.ph/faculty_research/11209
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Institution: De La Salle University
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spelling oai:animorepository.dlsu.edu.ph:faculty_research-107612023-11-02T22:58:12Z A breadth-first search tree construction for multiplicative circulant graphs Antalan, John Rafael M. Campeña, Francis Joseph H. In this paper, we give a recursive method in constructing a breadth-first search tree for multiplicative circulant graphs of order power of odd. We then use the proposed construction in reproving some results concerning multiplicative circulant graph’s diameter, average distance and distance spectral radius. We also determine the graph’s Wiener index, vertex-forwarding index, and a bound for its edge-forwarding index. Finally, we discuss some possible research works in which the proposed construction can be applied. 2021-01-01T08:00:00Z text https://animorepository.dlsu.edu.ph/faculty_research/11209 info:doi/10.29020/nybg.ejpam.v14i1.3884 Faculty Research Work Animo Repository Graph theory Mathematics
institution De La Salle University
building De La Salle University Library
continent Asia
country Philippines
Philippines
content_provider De La Salle University Library
collection DLSU Institutional Repository
topic Graph theory
Mathematics
spellingShingle Graph theory
Mathematics
Antalan, John Rafael M.
Campeña, Francis Joseph H.
A breadth-first search tree construction for multiplicative circulant graphs
description In this paper, we give a recursive method in constructing a breadth-first search tree for multiplicative circulant graphs of order power of odd. We then use the proposed construction in reproving some results concerning multiplicative circulant graph’s diameter, average distance and distance spectral radius. We also determine the graph’s Wiener index, vertex-forwarding index, and a bound for its edge-forwarding index. Finally, we discuss some possible research works in which the proposed construction can be applied.
format text
author Antalan, John Rafael M.
Campeña, Francis Joseph H.
author_facet Antalan, John Rafael M.
Campeña, Francis Joseph H.
author_sort Antalan, John Rafael M.
title A breadth-first search tree construction for multiplicative circulant graphs
title_short A breadth-first search tree construction for multiplicative circulant graphs
title_full A breadth-first search tree construction for multiplicative circulant graphs
title_fullStr A breadth-first search tree construction for multiplicative circulant graphs
title_full_unstemmed A breadth-first search tree construction for multiplicative circulant graphs
title_sort breadth-first search tree construction for multiplicative circulant graphs
publisher Animo Repository
publishDate 2021
url https://animorepository.dlsu.edu.ph/faculty_research/11209
_version_ 1781799769818005504