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Auli Mardhaningsih
Andalas University
Mathematics

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Dimensi partisi graf thorn dari graf kipas Auli Mardhaningsih
Jurnal Matematika MANTIK Vol. 5 No. 1 (2019): Mathematics and Applied Mathematics
Publisher : Mathematics Department, Faculty of Science and Technology, UIN Sunan Ampel Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (435.798 KB) | DOI: 10.15642/mantik.2019.5.1.45-49

Abstract

Let be a connected graph and. For a vertex and an ordered k-partition of, the presentation of concerning is the k-vector, where denotes the distance between and for. The k-partition is said to be resolving if for every two vertices, the representation. The minimum k for which there is a resolving k-partition of is called the partition dimension of, denoted by. Let be a non-negative integer, for. The thorn of, with parameters is obtained by attaching vertices of degree one to the vertex, denoted by. In this paper, we determine the partition dimension of where, the fan on n+1 vertices, for.
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