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Graphs with same diameter and metric dimension

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Title: Graphs with same diameter and metric dimension

Authors: Imrana Kousar, Ioan Tomescu, Syed Muhammad Husnine

Journal: Journal of Prime Research in Mathematics

HEC Recognition History
Category From To
Y 2023-07-01 2024-09-30
Y 2022-07-01 2023-06-30
Y 2021-07-01 2022-06-30
Y 2020-07-01 2021-06-30

Publisher: Abdus Salam School of Mathematical Sciences, GC University

Country: Pakistan

Year: 2010

Volume: 1

Issue: 1

Language: English

Categories
Graph Theory (455) Discrete Mathematics (278) Network Theory (58) Mathematics (5170) Combinatorics (285)

Abstract

The cardinality of a metric basis of a connected graph is called its metric dimension, denoted by and the maximum value of distance between vertices of is called its diameter. In this paper, the graphs with diameter 2 are characterized when .

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