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Detail
ArtikelAljabar 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 artikelWe 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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