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On metric dimension of permutation graphs
Journal of Combinatorial Optimization, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Michael Hallaway +2 more
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Chaos, Solitons & Fractals, 2002
Abstract We briefly discuss the nature of space, its metric and dimension in the spirit of El Naschie's Cantorian space-time.
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Abstract We briefly discuss the nature of space, its metric and dimension in the spirit of El Naschie's Cantorian space-time.
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Ulam’s Metric in Higher Dimensions
Ulam’s metric defines the minimal number of moves (extrac-tion followed by re-insertion of permutation elements) to go between a given pair of permutations, and determination of moved elements resolves the Longest Common Subsequence problem. The extensive research that followed Ulam’s work provided many influential discoveries in computer science ...Sebastian Bala, Andrzej Kozik
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On the Local Metric Dimension of Graphs
Journal of Interconnection NetworksLet [Formula: see text] be a graph. A set [Formula: see text] is a local resolving set of [Formula: see text] if there exists [Formula: see text] such that [Formula: see text] for any [Formula: see text]. The local metric dimension [Formula: see text] of [Formula: see text] is the minimum cardinality of all the local resolving sets of [Formula: see ...
Chenxu Yang +3 more
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The metric dimension of amalgamation of cycles
2010Summary: For an ordered set \(W = \{w_1, w_2, \dots, w_k\}\) of vertices and a vertex \(v\) in a connected graph \(G\), the representation of \(v\) with respect to \(W\) is the ordered \(k\)-tuple \(r(v|W) = (d(v,w_1), d(v,w_2), \dots, d(v,w_k))\) where \(d(x,y)\) represents the distance between the vertices \(x\) and \(y\).
Iswadi, Hazrul +3 more
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Metric dimension and pattern avoidance in graphs
Discrete Applied Mathematics, 2020Jesse Geneson
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Getting the Lay of the Land in Discrete Space: A Survey of Metric Dimension and Its Applications
SIAM Review, 2023Rafael Frongillo +2 more
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Extremal results for graphs of bounded metric dimension
Discrete Applied Mathematics, 2022Antoine Labelle, Jesse Geneson
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Uniquely identifying the edges of a graph: The edge metric dimension
Discrete Applied Mathematics, 2018Ismael G Yero, Niko Tratnik
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