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

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