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All Journal Jurnal Ilmu Dasar CAUCHY: Jurnal Matematika Murni dan Aplikasi Jurnal Infinity MAGISTRA Jurnal Matematika: MANTIK Desimal: Jurnal Matematika Numeracy : Jurnal Ilmiah Pendidikan Matematika BAREKENG: Jurnal Ilmu Matematika dan Terapan JTAM (Jurnal Teori dan Aplikasi Matematika) Martabe : Jurnal Pengabdian Kepada Masyarakat Sainmatika: Jurnal Ilmiah Matematika dan Ilmu Pengetahuan Alam EDUKATIF : JURNAL ILMU PENDIDIKAN FIBONACCI: Jurnal Pendidikan Matematika dan Matematika Jurnal ABDINUS : Jurnal Pengabdian Nusantara Abdimas Galuh : Jurnal Pengabdian Kepada Masyarakat Community Empowerment Jurnal Ilmiah Sains Prosiding Konferensi Nasional Penelitian Matematika dan Pembelajarannya International Journal of Applied Mathematics, Sciences, and Technology for National Defense
Fery Firmansah
Universitas Widya Dharma Klaten
Agriculture, Biological Sciences & Forestry Arts Humanities Biochemistry, Genetics & Molecular Biology Chemistry Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Education Energy Engineering Environmental Science Industrial & Manufacturing Engineering Law, Crime, Criminology & Criminal Justice Mathematics Mechanical Engineering Nursing Physics Public Health Social Sciences Transportation

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Journal : CAUCHY: Jurnal Matematika Murni dan Aplikasi

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Odd Harmonious Labeling on Pleated of the Dutch Windmill Graphs Firmansah, Fery; Yuwono, Muhammad Ridlo
CAUCHY Vol 4, No 4 (2017): CAUCHY
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (637.419 KB) | DOI: 10.18860/ca.v4i4.4043

Abstract

A graph G(p,q) with p=|V(G)| vertices and q=|E(G)| edges. The graph G(p,q) is said to be odd harmonious if there exist an injection f: V(G)-{0,1,2,...,2q-1} such that the induced function f*: E(G)-{1,2,3,...,2q-1} defined by  f*(uv)=f(u)+f(v) which is a bijection and f is said to be odd harmonious labeling of G(p,q). In this paper we prove that pleated of the Dutch windmill graphs C_4^(k)(r) with k=1 and r=1 are odd harmonious graph. Moreover, we also give odd harmonious labeling construction for the union pleated of the Dutch windmill graph   C_4^(k)(r) union C_4^(k)(r) with k=1 and r=1.
Co-Authors Bayu Indrayanto Eric Kunto Aribowo Fika Aisyah Munif Fitriana Wulandari Guruh Aryotejo Hendramawat Aski Safarizki Joko Sungkono Kiki Ariyanti Sugeng M. Wahid Syaifuddin M. Wahid Syaifuddin Muhammad Malik Hakim, Muhammad Malik Nur Latifah Hidayati Ririn Rias Rahayu Tasari Tasari Theresia Kriswianti Nugrahaningsih Triyono Triyono Wed Giyarti Wijayanti, Septiana Yuliana