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Aljabar Max-Plus Matriks dan Teori Graf
Oleh:
Rudhito, M. Andy
Jenis:
Article from Journal - ilmiah nasional - tidak terakreditasi DIKTI
Dalam koleksi:
SIGMA: Jurnal Sains dan teknologi vol. 10 no. 1 (Jan. 2007)
,
page 61-70.
Topik:
Max-plus algebra
;
matrix
;
graph theory
;
elementary circuit
;
eigen value
Ketersediaan
Perpustakaan Pusat (Semanggi)
Nomor Panggil:
SS25.6
Non-tandon:
1 (dapat dipinjam: 0)
Tandon:
tidak ada
Lihat Detail Induk
Isi artikel
We discuss the interpretation of some matrix max-plus algebra R~ operations and concepts in graph theory. We show that every matrix A E R~ corresponds to a weighted directed graph and conversely. A formula for the maximum mean weight of the elementary circuit in the precedence graph of A is 2,~~(A) = ¶~ (~ trace(A®’~) . If matrix A e R~ is irreducible, then A has a unique max-plus algebra eigen value A~(A).
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