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Journal of Advanced Life Sciences and Technology

Peer-Reviewed Academic Journal
Research Article

INVESTIGATING THE AMICABILITY OF REPLICATED GRAPHS.

Authors & Affiliations
Michael W. Smith
Department of Mathematics, University of Cape Town, Cape Town, Western Cape, South Africa
Aisha K. Patel
Department of Mathematics, University of Cape Town, Cape Town, Western Cape, South Africa.
Published: December 18, 2024
Volume 12, Issue 4 (2024)
Article ID: 790
Peer-Reviewed
Open Access
Abstract

Cordial graph theory has provided valuable insights into graph labeling, particularly through the concept of cordiality. Initially introduced as a weaker alternative to graceful and harmonious graphs, cordial graphs are characterized by {0, 1} binary vertex labeling. This abstract explores various properties of cordial graphs, including the relationship between cordiality and graph structures, such as trees and wheels. Notably, the cordiality of Eulerian graphs is also addressed in connection to its size congruence. While cordial graphs have been a topic of interest, this abstract serves as an introduction to the field and its fundamental results.

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