Results 21 to 30 of about 247,387 (224)
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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Gravitational dressing of D-instantons [PDF]
, 2000 The non-perturbative corrections to the universal hypermultiplet moduli space metric in the type-IIA superstring compactification on a Calabi-Yau threefold are investigated in the presence of 4d, N=2 supergravity.
Atiyah +31 more
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Length spectra and degeneration of flat metrics [PDF]
, 2009 In this paper we consider flat metrics (semi-translation structures) on surfaces of finite type. There are two main results. The first is a complete description of when a set of simple closed curves is spectrally rigid, that is, when the length vector ...
Duchin, Moon +2 more
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Surface/State Correspondence as a Generalized Holography [PDF]
, 2015 We propose a new duality relation between codimension two space-like surfaces in gravitational theories and quantum states in dual Hilbert spaces. This surface/state correspondence largely generalizes the idea of holography such that we do not need to ...
Miyaji, Masamichi, Takayanagi, Tadashi
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Some new general lower bounds for mixed metric dimension of graphs
Filomat, 2021 A vertex w ? V resolves two elements x, y ? V ? E if d(w,x) ? d(w,y). The mixed resolving set is a set of vertices S, S ? V if any two elements of E ? V are resolved by some element of S. The minimum cardinality of a mixed resolving set is called the mixed metric dimension of a graph G.
Milivojević-Danas, Milica +3 more
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Assouad type dimensions and homogeneity of fractals [PDF]
, 2013 We investigate several aspects of the Assouad dimension and the lower dimension, which together form a natural `dimension pair'. In particular, we compute these dimensions for certain classes of self-affine sets and quasi-self-similar sets and study ...
Fraser, Jonathan M.
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Graphs whose mixed metric dimension is equal to their order
Computational and Applied Mathematics, 2023 The mixed metric dimension ${\rm mdim}(G)$ of a graph $G$ is the cardinality of a smallest set of vertices that (metrically) resolves each pair of elements from $V(G)\cup E(G)$. We say that $G$ is a max-mdim graph if ${\rm mdim}(G) = n(G)$. It is proved that a max-mdim graph $G$ with $n(G)\ge 7$ contains a vertex of degree at least $5$.
Ghalavand, Ali +2 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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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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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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