Cardinal labeling of H-graphs

Let G (V,E) be a simple connected undirected graph. Let |V|=p, |E|=q and let C = { 1,2..., p+q}. G is said to admit cardinal labeling if the one-to-one function f from the vertex set V into the set C generates a one-to-one edge function f* onto the set C\f (V) defined by |f(u)-f(v)|= f*(uv) ∀ uv ∈ E. A graph G is said to be cardinal if it admits cardinal labeling. In this paper we have discussed cardinal labeling for H- graph H_n, subdivided H-graph S(H_n), corona of H-graphH_n ⨀▒K_1 ,H_n ⨀▒〖mK〗_1  and H-cracker graphH_(n,k).  

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Publication Details

Journal
Revista Electronica de Veterinaria
Published
2024-09-20
DOI
https://doi.org/10.69980/redvet.v25i1.1179
Primary Topic
Graph Labeling and Dimension Problems
Type
article
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article

Cardinal labeling of H-graphs

A. Punitha Tharani
Revista Electronica de Veterinaria
Graph Labeling and Dimension Problems
article

Cardinal labeling of H-graphs

A. Punitha Tharani
article en

Abstract

Let G (V,E) be a simple connected undirected graph. Let |V|=p, |E|=q and let C = { 1,2..., p+q}. G is said to admit cardinal labeling if the one-to-one function f from the vertex set V into the set C generates a one-to-one edge function f* onto the set C\f (V) defined by |f(u)-f(v)|= f*(uv) ∀ uv ∈ E. A graph G is said to be cardinal if it admits cardinal labeling. In this paper we have discussed cardinal labeling for H- graph H_n, subdivided H-graph S(H_n), corona of H-graphH_n ⨀▒K_1 ,H_n ⨀▒〖mK〗_1  and H-cracker graphH_(n,k).  

Revista Electronica de Veterinaria
Openalex Percentile: Top 79%
Graph Labeling and Dimension Problems
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Cardinal labeling of H-graphs — A. Punitha Tharani · Revista Electronica de Veterinaria (2024) | TGRS Research Map | TGRS