Advances and Applications in Discrete Mathematics

The Advances and Applications in Discrete Mathematics is a prestigious peer-reviewed journal indexed in the Emerging Sources Citation Index (ESCI). It is dedicated to publishing original research articles in the field of discrete mathematics and combinatorics, including topics such as graphs, coding theory, and block design. The journal emphasizes efficient and powerful tools for real-world applications and welcomes expository articles that highlight current developments in the field.

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POWER GRAPH OF B-ALGEBRAS

Authors

  • Ranelyn I. Ral
  • Ann Leslie V. Flores

Keywords:

B-algebra, B-homomorphism, power graph.

DOI:

https://doi.org/10.17654/0974165825035

Abstract

Power graphs have been extensively studied for their ability to represent algebraic structures through graph-theoretic concepts. This paper investigates the structural properties of power graphs associated with B-algebras, a class of  algebras that exhibit certain group-like characteristics. Several graph-theoretic properties, including graph distance measures, are examined. In addition, conditions under which the power graph is complete, Eulerian, or Hamiltonian, as well as the behavior of power graphs under B-homomorphisms, are explored. Finally, the relationship between the center of a B-algebra and the center of its corresponding power graph is established.

Received: April 8, 2025
Revised: May 25, 2025
Accepted: June 5, 2025

References

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Published

2025-06-18

Issue

Vol. 42 No. 6 (2025)

Section

Articles

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Copyright (c) 2025 PUSHPA PUBLISHING HOUSE, PRAYAGRAJ, INDIA

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How to Cite

POWER GRAPH OF B-ALGEBRAS . (2025). Advances and Applications in Discrete Mathematics, 42(6), 515-530. https://doi.org/10.17654/0974165825035

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