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The Fractional Metric Dimension of Permutation Graphs
Acta Mathematica Sinica, English Series, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eunjeong, Yi ̆
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ON FRACTIONAL METRIC DIMENSION OF GRAPHS
Discrete Mathematics, Algorithms and Applications, 2013 A vertex x in a connected graph G = (V, E) is said to resolve a pair {u, v} of vertices of G if the distance from u to x is not equal to the distance from v to x. The resolving neighborhood for the pair {u, v} is defined as R{u, v} = {x ∈ V : d(u, x) ≠ d(v, x)}.
S. Arumugam, Varughese Mathew, Jian Shen
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A Study on Local Fractional Metric Dimension Upper Limits for Special Classes of ϖ-Exponent Graphs
Discrete Mathematics, Algorithms and Applications (DMAA)The concept of metric dimension plays a vital role in numerous fields such as computer science, image processing, pattern recognition, integer programming, pharmaceutical research, and chemical production.
Shahbaz Ali +4 more
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The Fractional Strong Metric Dimension of Graphs
2013For any two vertices x and y of a graph G, let S{x, y} denote the set of vertices z such that either x lies on a y − z geodesic or y lies on a x − z geodesic. For a function g defined on V(G) and U ⊆ V(G), let g(U) = ∑ x ∈ Ug(x). A function g: V(G) → [0,1] is a strong resolving function of G if g(S{x, y}) ≥ 1, for every pair of distinct vertices x, y ...
Cong X. Kang, Eunjeong Yi
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On the metric dimension and fractional metric dimension for hierarchical product of graphs
Applicable Analysis and Discrete Mathematics, 2013Min Feng
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The metric dimension of Cayley digraphs
Discrete Mathematics, 2006Ortrud R Oellermann, Shonda Gosselin
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