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All Journal International Journal of Evaluation and Research in Education (IJERE) Electronic Journal of Graph Theory and Applications (EJGTA) Jurnal Matematika & Sains AKSIOMA JURNAL PENDIDIKAN MATEMATIKA Jurnal Elemen Indonesian Journal of Applied Statistics Journal of Mathematics and Mathematics Education (JMME) JTAM (Jurnal Teori dan Aplikasi Matematika) JCES (Journal of Character Education Society) Indonesian Journal of Combinatorics Budapest International Research and Critics in Linguistics and Education Journal (Birle Journal) International Journal of Science and Society (IJSOC)
Diari Indriati
Universitas Sebelas Maret, Surakarta, Indonesia
Aerospace Engineering Agriculture, Biological Sciences & Forestry Arts Humanities Astronomy Chemical Engineering, Chemistry & Bioengineering Civil Engineering, Building, Construction & Architecture Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Earth & Planetary Sciences Economics, Econometrics & Finance Education Electrical & Electronics Engineering Engineering Environmental Science Industrial & Manufacturing Engineering Languange, Linguistic, Communication & Media Law, Crime, Criminology & Criminal Justice Library & Information Science Mathematics Neuroscience Nursing Physics Public Health Social Sciences Transportation Other

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Journal : Jurnal Matematika

 1 
On Gamma-Labeling of (n,t)-Kite Graph Diari Indriati
Jurnal Matematika & Sains Vol 16, No 3 (2011)
Publisher : Institut Teknologi Bandung

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Abstract

Abstract Let G(V,E) be a graph of order n and size m. A g-labeling of G is an one-to-one function f: V(G) ® {0, 1, 2, ..., m} that induces a labeling f: E(G) ® {1, 2, 3, ..., m} of the edges of G defined by f(e) = |f(u)-f(v)| for each edge e = uv of G. The value of a g-labeling f is denoted by val(f) = SeeEf(e). The maximum value of a g-labeling of G is defined by valmax(G) = max{val(f) : f is a g ‑ labeling of G}, while the minimum value of a g-labeling of G is defined by valmin (G) = min{val(f) : f is a g ‑ labeling of G}.  In this paper we investigate the valmin(G) of an (n,t)-kite graph G for every integer n ³ 3, and  the lower bound of the valmax(G) of an (n,t)-kite graphs G for n =3 and  n=4. Keywords: g-labeling, (n,t)-kite graphs, Maximum value, Minimum value. Abstrak Misal  G(V,E) adalah graf dengan banyak titik n dan banyak sisi m. Suatu pelabelan-g  pada graf G adalah fungsi satu-satu f: V(G) ® {0, 1, 2, ..., m} yang menghasilkan pelabelan f: E(G) ® {1, 2, 3, ..., m} pada sisi-sisi dari  G yang didefinisikan oleh  f(e) = |f(u)-f(v)| untuk setiap sisi e = uv pada G. Nilai dari pelabelan-g  f dilambangkan dengan val(f) = SeeEf(e). Nilai maksimum untuk pelabelan-g f dari graf G didefinisikan oleh valmax(G) = max{val(f) : f adalah pelabelan ‑g dari G}, sedangkan nilai minimum untuk pelabelan-g  f dari G didefinisikan oleh valmin (G) = min{val(f) : f adalah pelabelan ‑g  dari G}. Pada artikel ini kami memberikan valmin(G) dari graf  (n,t)-kite G untuk sembarang bilangan bulat n ³ 3, dan batas bawah untuk  valmax(G) dari graf (n,t)-kite G untuk n=3 dan  n=4. Kata kunci: Pelabelan-g, Graf (n,t)-kite, Nilai maksimum, Nilai minimum.
Co-Authors Adinata, Yuda candri Ainun Rahma Firdausy Akrom, Akrom Alghofari, Abdul Rouf Bowo Winarno Budiyono Budiyono Budiyono Budiyono Dhani Nur Hendrayanto Eka Aprilia Enyta Ramadisae Putri Hidayat, Noor Imam Sujadi Indah E. Wijayanti Irfan Setiawan Isnaini Rosyida Isnaini Rosyida, Isnaini Kiki A. Sugeng Krida Singgih Kuncoro Martini, Titin Sri Monika Agnes Henny Kinanti Muhammad Bilal Nugroho Arif Sudibyo Purjiyo Purjiyo Putranto Hadi Utomo Riyadi Riyadi S Slamin Sri Sulistijowati Handajani Sujadi, Imam Tri Atmojo Kusmayadi Trionika Dian Wahyuningsih Triyanto Triyanto Vika Yugi Kurniawan W. Widodo Wijayanti, Dian Eka