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All Journal Indonesian Journal of Combinatorics
Sabrina Shena Sarasvati
Graph, Combinatorics, and Algebra Research Group, Department of Mathematics, FMIPA, Universitas Jember, Jl. Kalimantan 37 Jember 68121, Indonesia
Computer Science & IT Decision Sciences, Operations Research & Management

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Odd Harmonious Labeling of Pn ⊵ C4 and Pn ⊵ D2(C4) Sabrina Shena Sarasvati; Ikhsanul Halikin; Kristiana Wijaya
Indonesian Journal of Combinatorics Vol 5, No 2 (2021)
Publisher : Indonesian Combinatorial Society (InaCombS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/ijc.2021.5.2.5

Abstract

A graph G with q edges is said to be odd harmonious if there exists an injection f:V(G) → ℤ2q so that the induced function f*:E(G)→ {1,3,...,2q-1} defined by f*(uv)=f(u)+f(v) is a bijection.Here we show that graphs constructed by edge comb product of path Pn and cycle on four vertices C4 or shadow of cycle of order four D2(C4) are odd harmonious.
Co-Authors Ikhsanul Halikin, Ikhsanul Kristiana Wijaya