Hidayati, Nurul (2019) Eccentric distance sum dan adjacent eccentric distance sum index graf commuting dan non commuting dari grup dihedral. Undergraduate thesis, Universitas Islam Negeri Maulana Malik Ibrahim.
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Abstract
INDONESIA :
Penelitian ini membahas pola umum eccentric distance sum dan adjacent eccentric distance sum index dari graf commuting dan non commuting dari grup dihedral D_2n. Keduanya diperoleh dengan terlebih dahulu menentukan anggota grup dihedral yang saling komutatif sehingga membentuk graf commuting, kemudian menentukan anggota grup dihedral yang tidak saling komutatif, dan dibentuk graf non commuting. Kemudian mencari jumlah jarak, eksentrisitas titik, dan derajat titik. Hasil penelitian ini adalah sebagai berikut:
1. Eccentric distance sum dan adjacent eccentric distance sum index graf commuting dari grup dihedral dengan n≥3 adalah
a. (...)
b. (...)
2. Eccentric distance sum dan adjacent eccentric distance sum index graf non commuting dari grup dihedral dengan n≥3 adalah
a. (...)
b. (...)
ENGLISH :
This study discusses the eccentric distance sum and the adjacent eccentric distance sum index of commuting and non commuting graph of dihedral group D_2n. Both were obtained by first determining the dihedral group members that commutative to each other to form commuting graph, then define the dihedral group members are not mutually commutative, and formed a non commuting graph. Then look for the amount of distance, eccentricity of vertices, and degree of vertices. The results of this study are as follows:
1. Eccentric distance sum and adjacent eccentric distance sum index of commuting graph of the dihedral group for n≥3 are
a. (...)
b. (...)
2. Eccentric distance sum and adjacent eccentric distance sum index of non commuting graph of the dihedral group for n≥3 are
a. (...)
b. (...)
Item Type: | Thesis (Undergraduate) | |||||||||
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Supervisor: | Abdussakir, Abdussakir and Nashichuddin, Achmad | |||||||||
Contributors: |
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Keywords: | eccentric distance sum index; adjacent eccentric distance sum index; graf commuting; graf non commuting; grup dihedral; eccentric distance sum index; adjacent eccentric distance sum index; commuting graph; non commuting graph; dihedral group | |||||||||
Departement: | Fakultas Sains dan Teknologi > Jurusan Matematika | |||||||||
Depositing User: | Dian Anesti | |||||||||
Date Deposited: | 16 Oct 2019 10:57 | |||||||||
Last Modified: | 16 Oct 2019 10:57 | |||||||||
URI: | http://etheses.uin-malang.ac.id/id/eprint/15066 |
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