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International Journal of Combinatorics
Article . 2012 . Peer-reviewed
License: CC BY
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International Journal of Combinatorics
Article
License: CC BY
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zbMATH Open
Article . 2012
Data sources: zbMATH Open
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Total Vertex Irregularity Strength of the Disjoint Union of Sun Graphs

Total vertex irregularity strength of the disjoint union of sun graphs
Authors: null Slamin; null Dafik; Wyse Winnona;

Total Vertex Irregularity Strength of the Disjoint Union of Sun Graphs

Abstract

A vertex irregular total -labeling of a graph with vertex set and edge set is an assignment of positive integer labels to both vertices and edges so that the weights calculated at vertices are distinct. The total vertex irregularity strength of , denoted by is the minimum value of the largest label over all such irregular assignment. In this paper, we consider the total vertex irregularity strengths of disjoint union of isomorphic sun graphs, , disjoint union of consecutive nonisomorphic sun graphs, , and disjoint union of any two nonisomorphic sun graphs .

Related Organizations
Keywords

Graph labelling (graceful graphs, bandwidth, etc.), sun graphs, vertex irregular total \(k\) labeling, total vertex irregularity strength

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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!
2
Average
Average
Average
gold