Pancaran Pendidikan
Vol 11, No 3 (2022)

Some Wheel Related Graph and It's Local Edge Metric Dimension

Robiatul Adawiyah (Universitas Jember)
Rafiantika Megahnia (Universitas Jember)



Article Info

Publish Date
23 Dec 2022

Abstract

One of the mathematics branches that often used in daily life as a tool to make the models of problem easier to understand and solved is graph theory.  One of the topic in graph theory is metric dimension. The extension of the metric dimension theory is a local edge metric dimension. Let the metric generator of graph  be a vertex ,  is a non empty set, therefore for any two edges in graph G namely  and , we have d_. The edge metric dimension of graph  is the minimum edge metric generator. In line with the concept of edge metric dimension, the local edge metric dimension is the development of edge metric dimension with special requirement. For every adjacent edges  and  in graph,  if it full fill , the minimum cardinality of  is called as the local edge metric dimension of graph . Here, we analyze the result of local edge metric dimension of some wheel related graph namely fan graph, semi jahangir graph, and jahangir graph

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Journal Info

Abbrev

pancaran

Publisher

Subject

Humanities Chemistry Education Languange, Linguistic, Communication & Media Physics

Description

Pancaran Pendidikan is an online-International Journal dedicated to publishing the good quality research and non reserach in 1. Natural Science (Mathematics, Physics, Chemistry and Biology) education 2. Social Science (Economy, Geography, and History) education 3. Language and humanities education ...