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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Bibliographic Details
Main Authors: Antalan, John Rafael M., Campeña, Francis Joseph H.
Format: text
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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Summary: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.