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Tribonacci Cordial Labeling of Some Snake Graphs

1Department of Mathematics and Statistics, University of Southeastern Philippines, Davao City, Philippines.
* Corresponding Author: Ariel C. Pedrano. Email: ariel.pedrano@usep.edu.ph

Annals of Communications in Mathematics 2025, 8 (3), 393-405. https://doi.org/10.62072/acm.2025.080306
Received: 14 August 2025 |
Accepted: 13 September 2025 |
Published: 30 September 2025

ABSTRACT. 

An injective function f : V (G) → {T0, T1, T2, . . . , Tn}, where n = |V (G)| − 1, is said to be a Tribonacci cordial labeling if the induced function f ∗ E(G) →{0, 1} defined by f∗(uv) = (f(u) + f(v)) mod 2 satisfies the condition |ef (0) − ef (1)| ≤ 1 where ef (0) is the number of edges with label 0 and ef (1) is the number of edges with label 1. A graph that admits a tribonacci cordial labeling is called a Tribonacci cordial graph. In this paper, we determined the Tribonacci Cordial Labeling of Triangular Snake Graph T Sn, Double Triangular Snake Graph D(T Sn), Quadrilateral Snake Graph QSn, Double Quadrilateral Snake Graph D(QSn), and Cycle Quadrilateral Snake Graph C(QSn).

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Cite This Article

Ariel C. Pedrano, Melaine Vieve S. Gudin.
Tribonacci Cordial Labeling of Some Snake Graphs .
Annals of Communications in Mathematics
2025,
8 (3):
393-405.
https://doi.org/10.62072/acm.2025.080306

Creative Commons License
Copyright © 2025 by the Author(s). Licensee Techno Sky Publications. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).

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