Results 31 to 40 of about 1,385,922 (245)
REMARK ON THE LOCAL NATURE OF METRIC MEAN DIMENSION
, 2022 Metric mean dimension is a metric invariant of dynamical systems. It is a dynamical analogue of Minkowski dimension of metric spaces. We use old ideas of Bowen (Trans. Amer. Math. Soc.
ツカモト, マサキ +3 more
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Metric and fault-tolerant metric dimension for GeSbTe superlattice chemical structure
PLoS ONE, 2023 The concept of metric dimension has many applications, including optimizing sensor placement in networks and identifying influential persons in social networks, which aids in effective resource allocation and focused interventions; finding the source of ...
Liu Liqin +4 more
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On the k-metric dimension of metric spaces
Ars Mathematica Contemporanea, 2018 The metric dimension of a general metric space was defined in 1953, applied to the set of vertices of a graph metric in 1975, and developed further for metric spaces in 2013. It was then generalised in 2015 to the k-metric dimension of a graph for each positive integer k, where k=1 corresponds to the original definition.
Alan F. Beardon +1 more
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On the metric dimension of Cayley graphs
AKCE International Journal of Graphs and Combinatorics, 2022 In this paper, we investigate the metric dimension, local metric dimension and edge metric dimension for some (generalized) Cayley graphs.
Afsaneh Rezaei +2 more
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On the metric dimension of HDN
Journal of Discrete Algorithms, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dacheng Xu, Jianxi Fan
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Convexity in quasi-metric spaces [PDF]
, 2012 Includes abstract.Includes bibliographical references.The principal aim of this thesis is to investigate the existence of an injective hull in the categories of T-quasi-metric spaces and of T-ultra-quasi-metric spaces with nonexpansive ...
Otafudu, Olivier Olela
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FAULT-TOLERANT METRIC DIMENSION OF ANNIHILATOR GRAPHS OF COMMUTATIVE RINGS [PDF]
Journal of Algebraic SystemsLet R be a commutative ring with identity. The annihilator graph AG (R) is a simple graph with vertex set as the set of all non-zero zero-divisors of R, and two distinct vertices a and b are adjacent if and only if annR (a) ∪ annR (b) ̸= annR (a · b). We
Mohan S. Akhila, Karunakaran Manilal
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Edge Metric and Fault-Tolerant Edge Metric Dimension of Hollow Coronoid
Mathematics, 2021 Geometric arrangements of hexagons into six sides of benzenoids are known as coronoid systems. They are organic chemical structures by definition. Hollow coronoids are divided into two types: primitive and catacondensed coronoids.
Ali N. A. Koam +3 more
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On a Metric that Characterizes Dimension [PDF]
Canadian Journal of Mathematics, 1957 Sometimes it is possible to characterize topological properties of a metrizable space M by claiming that a certain (topologypreserving) metric ρ can be introduced in M.
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On the metric dimensions for sets of vertices
Discussiones Mathematicae Graph Theory, 2020 21 pages, 5 ...
Anni Hakanen +3 more
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