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Research Article Open access CC BY 4.0

Gracefulness of H-Super Subdivision of Y -Tree

E. Esakkiammal, K. Thirusangu, S. Bala

Current Journal of Applied Science and Technology · pp. 1–10 · Published 5 Oct 2016

10.9734/BJAST/2016/29082

Abstract

In this paper, we introduce a new method of construction called H-super subdivision of graphs and prove that the H-super subdivision of Y -tree Yn+1 (n ≥ 2) is graceful and there by answering the open question posed in 2009 by Arumugam and others [1]. Also we prove that the H-super subdivision of Y -tree is odd and even graceful.

H-super subdivision Y -tree graceful odd graceful even graceful

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