Results 21 to 30 of about 3,384,887 (243)
On mixed metric dimension in subdivision, middle, and total graphs
Quaestiones Mathematicae, 2023 Let $G$ be a graph and let $S(G)$, $M(G)$, and $T(G)$ be the subdivision, the middle, and the total graph of $G$, respectively. Let ${\rm dim}(G)$, ${\rm edim}(G)$, and ${\rm mdim}(G)$ be the metric dimension, the edge metric dimension, and the mixed metric dimension of $G$, respectively.
Ali Ghalavand +3 more
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Graphs with mixed metric dimension three and related algorithms
AIMS Mathematics, 2023 <abstract><p>Let $ G = (V, E) $ be a simple connected graph. A vertex $ x\in V(G) $ resolves the elements $ u, v\in E(G)\cup V(G) $ if $ d_G(x, u)\neq d_G(x, v) $. A subset $ S\subseteq V(G) $ is a mixed metric resolving set for $ G $ if every two elements of $ G $ are resolved by some vertex of $ S $. A set of smallest cardinality of mixed
Dalal Awadh Alrowaili +3 more
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Dimension Distortion by Sobolev Mappings in Foliated Metric Spaces [PDF]
, 2013 We quantify the extent to which a supercritical Sobolev mapping can increase the dimension of subsets of its domain, in the setting of metric measure spaces supporting a Poincaré inequality. We show that the set of mappings that distort the dimensions of
Tyson, Jeremy T. +5 more
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The metric theory of mixed type linear forms [PDF]
, 2013 In this paper the metric theory of Diophantine approximation of linear forms that are of mixed type is investigated. Khintchine-Groshev theorems are established together with the Hausdorff measure generalizations.
Dickinson, Detta, Hussain, Mumtaz
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PLoS ONE, 2021 European Researchers' Night is an annual pan-European synchronized event devoted to public engagement with research. It was first held in 2005 and now occurs in over 400 cities across Europe, with the aim of bringing researchers closer to the general ...
Aaron Michael Jensen +3 more
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Entropy, 2023 In this paper, we construct the metric tensor and volume for the manifold of purifications associated with an arbitrary reduced density operator ρS. We also define a quantum coarse-graining (CG) to study the volume where macrostates are the manifolds of ...
Shannon Ray +3 more
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IEEE AccessMixed triple metric dimension (MTMD) is a new resolvability parameter that extends metric, edge, and mixed metric dimension by distinguishing vertices, edges, and faces simultaneously within a single framework for plane graphs. To examine the theoretical
Robiatul Adawiyah +2 more
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Asymptotic dimension of fuzzy metric spaces [PDF]
, 2021 In this paper, we define asymptotic dimension of fuzzy metric spaces in the sense of George and Veeramini. We prove that asymptotic dimension is an invariant in the coarse category of fuzzy metric spaces.
Grzegrzolka, Pawel, Pawel Grzegrzolka
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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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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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