Graf Pembagi Nol dari Semiring Matriks atas Semiring Boolean

Authors

  • Vika Yugi Kurniawan Universitas Sebelas Maret

DOI:

https://doi.org/10.22487/25411969.2018.v7.i1.9926

Keywords:

graf pembagi nol, diameter graf, semiring matriks, semiring Boolean

Abstract

Untuk setiap semiring S  yang memiliki pembagi nol sejati dapat dibentuk suatu graf graf pembagi nol Г(S). Himpunan semua pembagi nol sejati dari  S yang dinotasikan  Z(S)* sebagai himpunan verteks dari graf Г(S). Dua verteks  berbeda  x dan y  di Z(S)* saling terhubung oleh sebuah edge jika dan hanya jika berlaku xy=0 atau yx=0. Pada makalah ini dipelajari sifat-sifat pembagi nol kiri dan pembagi nol kanan dari semiring matriks atas semiring Boolean, dinotasikan Mn(Æ). Selanjutnya sifat-sifat tersebut digunakan untuk menentukan diameter dari graf  Г(Mn(Æ)) .

Author Biography

  • Vika Yugi Kurniawan, Universitas Sebelas Maret
    Matematika

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Published

2018-03-23

Issue

Vol. 7 No. 1 (2018): Volume 7 Number 1 (March 2018)

Section

Articles

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