Pair mean cordial labeling of windmill, planar grid and quasi-flower snark graphs

Consider a [Formula: see text] graph [Formula: see text]. Define [Formula: see text] and [Formula: see text] referred to as the label set. Let us consider a mapping [Formula: see text], where, for every even [Formula: see text], distinct labels are assigned to the various elements of [Formula: see text] in [Formula: see text], and for every odd [Formula: see text], distinct labels are assigned to the [Formula: see text] elements of [Formula: see text] in [Formula: see text], with a repeating label for the lone vertex. After that, [Formula: see text] is referred to as a pair mean cordial labeling (PMC-labeling) if for every edge [Formula: see text] within [Formula: see text], there is a label for [Formula: see text] if [Formula: see text] is even and [Formula: see text] if [Formula: see text] is odd such that [Formula: see text] in which [Formula: see text] and [Formula: see text] denote the number of edges labeled with [Formula: see text] and the number of edges not labeled with [Formula: see text] in that order. A pair mean cordial graph (PMC-graph) is defined as a graph [Formula: see text] with PMC-labeling. In this paper, we discuss the PMC-labeling characteristics of a few unique graphs like windmill graph, planar grid, quasi-flower snark graph, complete flower graph, triple wheel graph, alternate triangular belt and lotus inside of a circle.

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Publication Details

Journal
Discrete Mathematics Algorithms and Applications
Published
2025-01-10
DOI
https://doi.org/10.1142/s1793830925500223
Primary Topic
Earth Systems and Cosmic Evolution
Type
article
Field-Weighted Citation Impact
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article

Pair mean cordial labeling of windmill, planar grid and quasi-flower snark graphs

S. Prabhu, R. Ponraj
Discrete Mathematics Algorithms and Applications
Earth Systems and Cosmic Evolution
article

Pair mean cordial labeling of windmill, planar grid and quasi-flower snark graphs

S. Prabhu, R. Ponraj
article en

Abstract

Consider a [Formula: see text] graph [Formula: see text]. Define [Formula: see text] and [Formula: see text] referred to as the label set. Let us consider a mapping [Formula: see text], where, for every even [Formula: see text], distinct labels are assigned to the various elements of [Formula: see text] in [Formula: see text], and for every odd [Formula: see text], distinct labels are assigned to the [Formula: see text] elements of [Formula: see text] in [Formula: see text], with a repeating label for the lone vertex. After that, [Formula: see text] is referred to as a pair mean cordial labeling (PMC-labeling) if for every edge [Formula: see text] within [Formula: see text], there is a label for [Formula: see text] if [Formula: see text] is even and [Formula: see text] if [Formula: see text] is odd such that [Formula: see text] in which [Formula: see text] and [Formula: see text] denote the number of edges labeled with [Formula: see text] and the number of edges not labeled with [Formula: see text] in that order. A pair mean cordial graph (PMC-graph) is defined as a graph [Formula: see text] with PMC-labeling. In this paper, we discuss the PMC-labeling characteristics of a few unique graphs like windmill graph, planar grid, quasi-flower snark graph, complete flower graph, triple wheel graph, alternate triangular belt and lotus inside of a circle.

Discrete Mathematics Algorithms and ApplicationsVol. 18(01)
Manonmaniam Sundaranar University (IN)
Affordable and clean energy
Openalex Percentile: Top 100%
Earth Systems and Cosmic Evolution
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Pair mean cordial labeling of windmill, planar grid and quasi-flower snark graphs — S. Prabhu, R. Ponraj · Discrete Mathematics Algorithms and Applications (2025) | TGRS Research Map | TGRS