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Ni’matullah Taufiquzzaman, 2015

KOND ISI DAN KOND ISI PAD A ALJABAR GRAF

Indonesia | repository.upi.edu| perpustakaan.upi.edu

ABSTRAK

KONDISI DAN KONDISI PADA ALJABAR GRAF

Ni’matullah Taufiquzzaman

Untuk graf berarah , aljabar graf adalah bentuk umum dari aljabar- dibangun oleh proyeksi ortogonal dan isometri parsial yang dikaitkan dengan titik-titik dan sisi-sisi pada graf dan memenuhi persamaan Cuntz-Krieger. Kita sebut graf berarah memenuhi kondisi

jika setiap cycle di memiliki entri. Suatu graf berarah dikatakan memenuhi kondisi jika setiap titik dari graf tidak memuat cycle atau terdapat dua cycle. Tujuan kita adalah melihat sifat dari aljabar graf jika graf berarah memenuhi kondisi ataupun kondisi

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iv

Ni’matullah Taufiquzzaman, 2015

KOND ISI DAN KOND ISI PAD A ALJABAR GRAF

Indonesia | repository.upi.edu| perpustakaan.upi.edu

ABSTRACT

CONDITION (L) AND CONDITION (K) ON GRAPH ALGEBRA

Ni’matullah Taufiquzzaman

For a directed graph , the graph algebra is the universal -algebra generated by projection and partial isometris satisfying Cuntz-Krieger relations. We say the graph satisfies condition if every cycle in has an entry. We say the graph satisfies condition if every vertex of graph there is no cycle or there are two cycle based at that. Our goal is to see charactersitic of graph algebra if directed graph satisfies condition either or condition .

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