Limits: Journal of Mathematics and Its Applications
Vol. 23 No. 1 (2026): Limits: Journal of Mathematics and Its Applications Volume 23 Nomor 1 Edisi Ap

Bilangan Pembeda Tanpa Titik Terisolasi Graf W_n⊙K_1dan F_n⊙K_1

Wahyuni Abidin (Universitas Islam Negeri Alauddin Makassar)
Ismail Mulia Hasibuan (Universitas Islam Negeri Alauddin Makassar)
Try Azisah Nurman (Universitas Islam Negeri Alauddin Makassar)
Muhammad Ridwan (Universitas Islam Negeri Alauddin Makassar)



Article Info

Publish Date
16 Apr 2026

Abstract

Let  be a graph and  be an ordered subset of the vertex set og graph  The representation of a vertex  in  with respect to is defined as , where  is the distance between vertex  and  for all $ The set  is called a resolving set of  if the representation of every vertex in  is distinct. A resolving set with the minimum cardinality is called a basis of  and the cardinality of a basis of  is the metric dimension of the graph . A vertex in  is called an isolated vertex if there are no edges incident to . A resolving set  is called a non-isolated resolving set if the subgraph induced by does not contain isolated vertices. A non-isolated resolving set with the minimum cardinality is called an -basis of , and the number of its members is called the non-isolated resolving number of , nonated by . In this paper, we discuss non-isolated resolving numbers of a graph obtained from the corona product of two graphs. The corona product of graph  and graph , denoted by , is a graph obtained by taking one copy of  and as many copies of  as there are vertices in , then connecting every vertex from the -th copy of  to the -th vertex in . The results show that if  is a wheel graph or a fan graph, then the non-isolated resolving number of the corona product  depends on the number of vertices in the graph

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Journal Info

Abbrev

limits

Publisher

Subject

Computer Science & IT Mathematics

Description

Limits: Journal of Mathematics and Its Applications merupakan jurnal yang diterbitkan oleh Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember, Surabaya, Indonesia. Limits menerima makalah hasil riset di semua bidang Matematika, terutama bidang Analisis, Aljabar, Pemodelan Matematika, ...