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The fractional metric dimension of permutation graphs
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Eunjeong Yi
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The Fractional Strong Metric Dimension of Graphs
For 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 FRACTIONAL METRIC DIMENSION OF GRAPHS
Discrete Mathematics, Algorithms and Applications, 2013A 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)}.
Arumugam, S. +2 more
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Fractional Chern insulators in magic-angle twisted bilayer graphene
Nature, 2021Yonglong Xie +2 more
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Signatures of fractional quantum anomalous Hall states in twisted MoTe2
Nature, 2023, Eric Anderson, Chong Wang
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Thermodynamic evidence of fractional Chern insulator in moiré MoTe2
Nature, 2023, Patrick Knüppel, Kenji Watanabe
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Observation of fractional edge excitations in nanographene spin chains
Nature, 2021Shantanu Mishra +2 more
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