GRAF MAKSIMAL SISI MEMUAT SIKLUS BERBILANGAN KROMATIK LOKASI TIGA

Dini Wulandari, 1117031016 (2015) GRAF MAKSIMAL SISI MEMUAT SIKLUS BERBILANGAN KROMATIK LOKASI TIGA. Fakultas Matematika dan Ilmu Pengetahuan Alam, Universitas Lampung.

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Abstract

ABSTRACT Edge Maximal Graphs Having Cycles with Locating-Chromatic Number Three By Dini Wulandari Let G be a connected graph and c be a proper k – coloring of connected graph G. Let Π={S_1,S_2,…,S_k} be a partition of V(G) induced by c on V(G), where 〖 S〗_i is the set of vertices receiving color i. The color code c_Π (v) of v is the ordered k-tuple (d(v,S_1 ),d(v,S_2 ),…,d(v,S_k )) where d(v,S_i )=〖min 〗⁡〖{d(v,x)|x ϵ〗 S_i} for any i. If all different vertices of G have different color codes, then c is called a locating-chromatic k-coloring of graph G, denoted by χ_L (G). We analyze graph G containing cycle with locating-chromatic number three consist of two cases, odd cycle and even cycle. ABSTRAK Graf Maksimal Sisi Memuat Siklus Berbilangan Kromatik Lokasi Tiga Oleh Dini Wulandari G adalah graf terhubung dan c merupakan k-pewarnaan dari G. Diberikan Π={S_1,S_2,…,S_k} merupakan himpunan yang terdiri dari kelas-kelas warna di V(G), dimana 〖 S〗_iadalah himpunan titik yang memperoleh warna i. Kode warna c_Π (v) dari v adalah k pasang terurut (d(v,S_1 ),d(v,S_2 ),…,d(v,S_k )) dengan d(v,S_i )=〖min 〗⁡〖{d(v,x)|x ϵ〗 S_i} untuk setiap i. Jika semua titik di G memiliki warna yang berbeda, maka c disebut pewarnaan lokasi dari graf G, dinotasikan dengan χ_L (G). Pada tulisan ini dianalisis graf maksimal sisi memuat siklus berbilangan kromatik lokasi tiga yang terdiri dari dua kasus yaitu siklus ganjil dan siklus genap.

Item Type: Other
Subjects: A General Works = Karya Karya Umum
Q Science (General) > QA Mathematics
Divisions: Fakultas MIPA > Prodi Matematika
Depositing User: 9136509 . Digilib
Date Deposited: 29 Jun 2015 03:00
Last Modified: 29 Jun 2015 03:00
URI: http://digilib.unila.ac.id/id/eprint/10542

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