Results 31 to 40 of about 92,183 (289)
Theoretical Computer Science, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Anni Hakanen +2 more
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Study of Convexo-Symmetric Networks via Fractional Dimensions
IEEE Access, 2022 For having an in-depth study and analysis of various network’s structural properties such as interconnection, extensibility, availability, centralization, vulnerability and reliability, we require distance based graph theoretic parameters ...
Muhammad Kamran Aslam +3 more
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Strong metric dimension: A survey [PDF]
Yugoslav Journal of Operations Research, 2014 The strong metric dimension has been a subject of considerable amount of research in recent years. This survey describes the related development by bringing together theoretical results and computational approaches, and places the recent results
Kratica Jozef +3 more
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Contemporary Mathematics and Applications (ConMathA), 2020 Adjacency metric dimension and local adjacency metric dimension are the development of metric dimension. The purpose of this research is to determine the adjacency metric dimension of corona graph between any connected graph G and non-trivial graph H ...
Virdina Rahmayanti +2 more
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Characterization of $n$-vertex graphs with metric dimension $n-3$ [PDF]
, 2007 summary:For an ordered set $W=\{w_1,w_2,\ldots ,w_k\}$ of vertices and a vertex $v$ in a connected graph $G$, the ordered $k$-vector $r(v|W):=(d(v,w_1),d(v,w_2),\ldots ,d(v,w_k))$ is called the metric representation of $v$ with respect to $W$, where $d(x,
Jannesari, Mohsen +10 more
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Bounds of Fractional Metric Dimension and Applications with Grid-Related Networks
Mathematics, 2021 Metric dimension of networks is a distance based parameter that is used to rectify the distance related problems in robotics, navigation and chemical strata. The fractional metric dimension is the latest developed weighted version of metric dimension and
Ali H. Alkhaldi +3 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 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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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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