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All Journal JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI
Safriadi Safriadi
SMA Negeri 12 Makassar
Mathematics

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Partition Dimension of Complete Multipartite Graph Safriadi Safriadi; Hasmawati Hasmawati; Loeky Haryanto
Jurnal Matematika, Statistika dan Komputasi Vol. 16 No. 3 (2020): JMSK, MAY, 2020
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (585.197 KB) | DOI: 10.20956/jmsk.v16i3.7278

Abstract

Determining a resolving partition of a graph is an interesting study in graph theory due to many applications like censor design, compound classification in chemistry, robotic navigation and internet network. Let  and , the distance between  an  is . For an ordered partition  of , the representation of  with respect to  is . The partition  is called a resolving partition of  if all representation of vertices are distinct. The partition dimension of graph  is the smallest integer  such that  has a resolving partition with  element.In this thesis, we determine the partition dimension of complete multipartite graph  ,  which is limited by , with  and . We found that , , and , .
Co-Authors Hasmawati Hasmawati Loeky Haryanto