Tribonacci Cordial Labeling of Some Snake Graphs

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).

Publication Details

Journal
Annals of Communications in Mathematics
Published
2025-09-29
DOI
https://doi.org/10.62072/acm.2025.080306
Primary Topic
Forest Insect Ecology and Management
Type
article
Field-Weighted Citation Impact
0.00
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article

Tribonacci Cordial Labeling of Some Snake Graphs

Annals of Communications in Mathematics
Forest Insect Ecology and Management
article

Tribonacci Cordial Labeling of Some Snake Graphs

article en

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).

Annals of Communications in Mathematics
Openalex Percentile: Top 42%
Forest Insect Ecology and Management
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Tribonacci Cordial Labeling of Some Snake Graphs · Annals of Communications in Mathematics (2025) | TGRS Research Map | TGRS