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Journal : JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI

Small Stars versus Large Wheels Hasmawati Hasmawati
Jurnal Matematika, Statistika dan Komputasi Vol. 5 No. 1: July 2008
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1092.236 KB) | DOI: 10.20956/jmsk.v5i1.3337

Abstract

Penerapan Teorema Bondy pada Penentuan Bilangan Ramsey Graf Bintang Terhadap Graf Roda Hasmawati Hasmawati
Jurnal Matematika, Statistika dan Komputasi Vol. 9 No. 2: January 2013
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (533.07 KB) | DOI: 10.20956/jmsk.v9i2.3403

Abstract

Dekomposisi Graf Hasil Kali Tiga Lintasan ke Dalam Sub Graf Perentang Reguler Hasmawati Hasmawati
Jurnal Matematika, Statistika dan Komputasi Vol. 10 No. 1: July 2013
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (582.513 KB) | DOI: 10.20956/jmsk.v10i1.3408

Abstract

Bilangan Ramsey untuk Graf Bintang Genap Terhadap Roda Genap Hasmawati Hasmawati
Jurnal Matematika, Statistika dan Komputasi Vol. 14 No. 2 (2018): January 2018
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (397.14 KB) | DOI: 10.20956/jmsk.v14i2.3554

Abstract

Untuk sebarang graf G dan H, bilangan Ramsey R(G,H) adalah bilangan asli terkecil n sedemikian sehingga sebarang graf F yang berorde n memenuhi kondisi berikut: F memuat G atau komplemen F memuat H. Dalam makalah ini dikaji bilangan Ramsey R(G,H), dimana G adalah graf bintang Sn dan H adalah graf roda Wm.  Kami akan menunjukkan bahwa R(S4,W6 )= 9  dan untuk n= 6, 8,  maka R(Sn,Wm ) =  2n+1 untuk m = n .
Dimensi Metrik dari Hasil Operasi Shackle Graf Siklus C_3 St. Munieroh Fachrunnisa; Hasmawati Hasmawati; Amir Kamal Amir
Jurnal Matematika, Statistika dan Komputasi Vol. 19 No. 2 (2023): JANUARY 2023
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v19i2.22957

Abstract

Let G be a connected graph and W be a ordered vertices subset on a connected graph . The set W is called resolving set for G if every vertex on graph G has distinct representation of W. A resolving set containing a minimum number of vertices is called resolving set minimum or basis for G and the cardinality of resolving set is the metric dimension on graph G, denoted by dim(G). In the thesis discusses about metric dimensions of shackle operation C3 cycle graph, dim(Shack(C31,C32,…,C3k:v31=v12,v32=v13,…,v3k-1=v1k ))=2 for k>=2 . To proof this results, we was used mathematical induction method.
DIMENSI PARTISI PADA GRAF GRID Haspika Haspika; Hasmawati Hasmawati; Naimah Aris
Jurnal Matematika, Statistika dan Komputasi Vol. 19 No. 2 (2023): JANUARY 2023
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v19i2.23904

Abstract

Graph G is a discrete set pair with the notation V(G) with its element called a vertex and the set of different and unordered pairs with the notation E(G) where the element is called edge. One type of graph Gm,n is a grid graph that is notated is a graph of the result of the operation between two path graphs (Pm*Pn). The set of partition∏ ={S1,S2,…,Sk} of V(G) is called a resolving partition if its representation for each vertex on graph G is different. The cardinality of the minimum resolving partition of graph G is the partition dimension of the graph G denoted pd(G). This paper discusses the dimension of the grid graph partition Gm,n with the result pd(Gm,n) = 3 for m,n>=2 with n even value.