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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(Ɓ). Selanjutnya sifat-sifat tersebut digunakan untuk menentukan diameter dari graf Г(Mn(Ɓ)) .
Keywords
graf pembagi nol
diameter graf
semiring matriks
semiring Boolean
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