Cordial Labeling in the Context of Some Graphs

Let G=(V,E) be the graph. A mapping f:V→{0,1} is called Binary vertex labeling and f(v) is called the label of the vertex v of G under f . For an edge e=uv, the induced edge labeling f^*:E→{0,1} is given by f^* (e)=|f(u)-f(v)|. Let f:V→{0,1} and for each edge uv, assign the label |f(x) – f(y)|. Then the binary vertex labeling f of a graph G is said to be cordial labeling if |V_f (0)-V_f (1)|≤1 and |e_f (0)-e_f (1)|≤1. In this paper, some graphs are proved for cordial labeling and known to be cordial graph.

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Publication Details

Journal
Journal of Information Systems Engineering & Management
Published
2025-04-22
DOI
https://doi.org/10.52783/jisem.v10i38s.6813
Primary Topic
Graph Labeling and Dimension Problems
Type
article
Field-Weighted Citation Impact
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article

Cordial Labeling in the Context of Some Graphs

P.Nageswari R.Charishma
Journal of Information Systems Engineering & Management
Graph Labeling and Dimension Problems
article

Cordial Labeling in the Context of Some Graphs

P.Nageswari R.Charishma
article en

Abstract

Let G=(V,E) be the graph. A mapping f:V→{0,1} is called Binary vertex labeling and f(v) is called the label of the vertex v of G under f . For an edge e=uv, the induced edge labeling f^*:E→{0,1} is given by f^* (e)=|f(u)-f(v)|. Let f:V→{0,1} and for each edge uv, assign the label |f(x) – f(y)|. Then the binary vertex labeling f of a graph G is said to be cordial labeling if |V_f (0)-V_f (1)|≤1 and |e_f (0)-e_f (1)|≤1. In this paper, some graphs are proved for cordial labeling and known to be cordial graph.

Journal of Information Systems Engineering & ManagementVol. 10(38s)
Openalex Percentile: Top 90%
Graph Labeling and Dimension Problems
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