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I Dewa Made Agus Ariawan
Universitas Pendidikan Ganesha
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Some methods for constructing some classes of graceful uniform trees I Nengah Suparta; I Dewa Made Agus Ariawan
Indonesian Journal of Combinatorics Vol 2, No 2 (2018)
Publisher : Indonesian Combinatorial Society (InaCombS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1386.919 KB) | DOI: 10.19184/ijc.2018.2.2.7

Abstract

A tree T(V, E) is graceful if there exists an injective function f from the vertex set V(T) into the set {0, 1, 2, ..., ∣V∣ − 1} which induces a bijective function fʹ from the edge set E(T) onto the set {1, 2, ..., ∣E∣}, with fʹ(uv) = ∣f(u) − f(v)∣ for every edge {u, v} ∈ E. Motivated by the conjecture of Alexander Rosa (see) saying that all trees are graceful, a lot of works have addressed gracefulness of some trees. In this paper we show that some uniform trees are graceful. This results will extend the list of graceful trees.
Co-Authors Prof. Dr.I Nengah Suparta,M.Si .