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Pelabelan harmonis pada graf tangga segitiga dan graf tangga segitiga variasi = Harmonious labeling of triangular ladder graph and variation of triangular ladder graph / Kurniawan Atmadja

Kurniawan Atmadja; Kiki Ariyanti Sugeng, supervisor; Djati Kerami, examiner; Yudi Satria, examiner ([Publisher not identified] , 2015)

 Abstrak

[ABSTRAK
Misalkan graf ( ) sering ditulis sebagai , terdiri dari himpunan tak kosong simpul dan himpunan busur . Penambahan busur pada graf Tangga ( ) yang diperluas, akan mengakibatkan diperolehnya suatu graf baru. Graf Tangga ( ) adalah hasil perkalian Cartesius graf lintasan . Pada tesis ini dipelajari variasi dua graf tangga yaitu : graf Tangga Segitiga dan graf Tangga Segitiga Variasi . Pelabelan harmonis sesuai dari definisi Graham dan Sloane (1980) adalah fungsi injektif ( ) , yang menginduksi fungsi pelabelan busur bijektif ( ) dimana ( ) ( ) ( )( | |) Pada tesis ini dibuktikan bahwa graf dan graf untuk merupakan graf harmonis.

ABSTRACT
Let ( ), in short , be a graph which consists of a non empty set of vertices and a set of edges . By adding several edges in Ladder graph ( ), we can obtain a new graph. A Ladder graph ( ) is a graph product between two paths . In this tesis, we study on the construction of harmonious labeling of Triangular Ladder graph and Variation of Trianguler Ladder graph . A harmoniuous labeling, referred to Graham and Sloane ( 1980 ), is an injective function ( ) , which will induced bijection edge function ( ) where ( ) ( ) ( )( | |). In this tesis, it will be proved that graph and graph for is harmoniuous graphs, Let ( ), in short , be a graph which consists of a non empty set of vertices and a set of edges . By adding several edges in Ladder graph ( ), we can obtain a new graph. A Ladder graph ( ) is a graph product between two paths . In this tesis, we study on the construction of harmonious labeling of Triangular Ladder graph and Variation of Trianguler Ladder graph . A harmoniuous labeling, referred to Graham and Sloane ( 1980 ), is an injective function ( ) , which will induced bijection edge function ( ) where ( ) ( ) ( )( | |). In this tesis, it will be proved that graph and graph for is harmoniuous graphs]

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 Metadata

No. Panggil : T44182
Entri utama-Nama orang :
Entri tambahan-Nama orang :
Entri tambahan-Nama badan :
Subjek :
Penerbitan : [Place of publication not identified]: [Publisher not identified], 2015
Program Studi :
Bahasa : ind
Sumber Pengatalogan : LibUI ind rda
Tipe Konten : text
Tipe Media : unmediated ; computer
Tipe Carrier : volume ; online resource
Deskripsi Fisik : x, 34 pages : illustration ; 28 cm + appendix
Naskah Ringkas :
Lembaga Pemilik : Universitas Indonesia
Lokasi : Perpustakaan UI, Lantai 3
  • Ketersediaan
  • Ulasan
No. Panggil No. Barkod Ketersediaan
T44182 15-17-388161384 TERSEDIA
Ulasan:
Tidak ada ulasan pada koleksi ini: 20415540