RANK MINIMUM MATRIKS HERMITE YANG DIGAMBARKAN GRAF G

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Published: Dec 31, 2018
DOI: https://doi.org/10.24853/fbc.4.2.97-104
Keywords:
Rank Minimum Matriks Hermite Graf Matriks Adjacency.

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Mohamad Syafii
STKIP Kusumanegara Jakarta

Abstract

Rank minimum dari matriks Hermite yang digambarkan oleh graf G didefinisikan dengan rank terkecil dari matriks Hermite suatu graf  G. Graf yang digunakan adalah graf komplit, graf lintasan, graf sikel, graf bipartisi komplit, dan graf star. Dalam menentukan rank minimum yang digambarkan graf tersebut dengan cara membuat matriks adjacency dari graf G tersebut, kemudian dikembangkan menjadi beberapa matriks Hermite, kemudian dicari rank dari beberapa matriks tersebut, sehingga diperoleh rank minimum. Dalam mencari rank matriks digunakan operasi baris elementer dan dibantu dengan program Matlab. Hasil penelitian ini diperoleh:

Article Details

Issue
Vol. 4 No. 2 (2018): FIBONACCI: Jurnal Pendidikan Matematika dan Matematika
Section
Articles

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References

Abdussakir, Azizah, N. N. dan Nofandika, F. F. 2009. Teori Graf. Malang: UIN-Malang Press.

Anton, H. dan Rorres, C. 2004. Aljabar Linier Elementer. Jakarta: Erlangga.

Chartrand, G. dan Ortrud, O. 1993. Applied and Algorithmic Graph Theory. Canada: McGraw-Hill Inc.

Chenette, Nathan L. dan Droms, S. V. 2007. “Minimum Rank of a Graph Over an Arbitrary Field”. Electronic Journal of Linear Algebra. Vol. 16, pp. 183-186.

Fallat, S. dan Hogben, L. 2007. “The Minimum Rank of Symmetric Matrices Described by a Graph: A Survey”. Linear Algebra and Its Applications. Vol. 462, pp. 558–582.

Leon, S. J. 2001. Aljabar Linear dan Aplikasinya. Jakarta: Erlangga.

Lipschutz, S. dan Lipson, M. L. 2002. Matematika Diskrit. Jakarta: Penerbit Salemba Teknika.

Sumartoyo, N. N. 1983. Aljabar Linear. Jakarta: Erlangga.

Wilson, R. J. dan Walkins, J. J.1990. Graphs an Intoductory Approach: A First Course in Discrete Mathematic. New York: John Wiley & Sons Inc.