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On Edge Irregularity Strength of Subdivision of Star SN

Authors: Muhammad Kamran Siddiqui;

On Edge Irregularity Strength of Subdivision of Star SN

Abstract

We investigate a modifications of well-known irregularity strength of graphs, namely the total edge irregularity strength. An edge irregular total k-labeling f : V uE to {1,2,...,k} of a graph G = (V,E) is a labeling of vertices and edges of G in such a way that for any different edges xy and x" y" their weights are distinct. The total edge irregularity strength, tes(G), is defined as the minimum k for which G has an edge irregular total k-labeling. In this paper we determined the exact value of the total edge irregularity strength of subdivision of star Sn.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
17
Top 10%
Top 10%
Average
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