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On Lucas Product Cordial Labeling of Some Snake Graphs

and

Eva D. Benacer^1*

1Mathematics and Statistics Department, University of Southeastern Philippines, Davao City, Philippines.

* Corresponding Author: Eva D. Benacer. Email: eva.benacer@usep.edu.ph

Annals of Communications in Mathematics , (2026), In Press.

Received: 06 January |

Accepted: 04 March |

Published:

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Abstract.

An injective function f : V (G) → {l1, l2, . . . , ln}, where lj is the jth Lucas number (j = 1, 2, . . . , n) is said to be Lucas product 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. A graph which admits Lucas product cordial labeling is called Lucas product cordial graph. In this paper, we determined the Lucas Product Cordial Labeling of Quadrilateral Snake Graph Qn, Cycle Quadrilateral Snake Graph CQn, and Alternate Triangular Snake Graph A(Tn).

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Cite This Article

Cherry T. Magoncia, Eva D. Benacer.

On Lucas Product Cordial Labeling of Some Snake Graphs.

Annals of Communications in Mathematics

(2026):

In Press.

Copyright © 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/).