Local fractional metric dimension of rotationally symmetric planar graphs arisen from planar chorded cycles

2021/05/17 by Shahbaz Ali, Ali, Shahbaz, Raúl Manuel Falcón Ganfornina +3
Computer Science · Engineering · #05C10 #05C12 #05C72 #Combinatorics (math.CO) #FOS: Mathematics #Graph Labeling and Dimension Problems #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.2105.07808

openalex publication_date 2021/05/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, a new family of rotationally symmetric planar graphs is described based on an edge coalescence of planar chorded cycles. Their local fractional metric dimension is established for those ones arisen from chorded cycles of order up to six. Their asymptotic behaviour enables us to ensure the existence of new families of rotationally symmetric planar graphs with either constant or bounded local fractional dimension.

Citations

• The Fractional Local Metric Dimension of Graphs

Related

• Bounds on metric dimension for families of planar graphs
• Embedding and the rotational dimension of a graph containing a clique
• The Fractional Local Metric Dimension of Graphs
• Locally chordal graphs
• Fractional vertex-arboricity of planar graphs