Abstract

The (2,1)-total labeling number of a graph is the width of the smallest range of integers that suffices to label the vertices and the edges of such that no two adjacent vertices have the same label, no two adjacent edges have the same label and the difference between the labels of a vertex and its incident edges is at least 2. In this paper, we studied the upper bound of of Sn+1∨Pm and Sn+1×Pm

Highlights

  • Our terminology and notation will be standard

  • We studied the upper bound of 2T (G) of Sn 1 Pm and Sn 1 Pm

  • (v) the be the dedistance of vertices x, y of G, x is the smallest integer greater than x

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Summary

Introduction

Our terminology and notation will be standard. The reader is referred to [1] for the undefined terms. For a graph G , let V (G) , E(G) , Δ(G) and δ(G) denote, respectively, its vertex set, edge set, maximum degree and minimum degree.

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