On edge irregularity strength of subdivision of star Sn

Muhammad Kamran Siddiqui

Abstract


In this paper, we study the total edge irregularity strength of some well known graphs. An edge irregular total $k$-labeling $\varphi: V\cup E \to \{ 1,2, \dots, k \}$ 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. Also, we determine the exact value of the total edge irregularity strength of subdivision of star $S_n.$

Full Text:

PDF

Refbacks

  • There are currently no refbacks.




Web Counters

IJMSC has been indexed in several world class data bases like Google Scholar, DRJI (Directory of Research Journals Indexing) ,Cite Factor, Research Bible.

Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.