Total edge irregularity strength of subdivision of star

Abstract

This research is the development from Siddiqui's research on edge irregularity strength of subdivision of star. Siddiqui [3] had determined the total edge irregularity strength of sub-division of star S m for 1≤m≤8 and n≥3. However, the total edge of irregularity strength for star subdivision S m for m≥9 and n≥3 are still in an open problem and also the total edge irregularity strength of subdivision of star by inserting mi vertices on different to every edge of a star Sn yet to be determined.In this paper, it will be proven that the total edge irregularity strength of subdivision of star S m for m≥9 and n≥3 and the total edge irregularity strength of subdivision of star Snm1, m2, ⋯ ,mn for mi≥1, mi

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