Metric dimensions and tameness in expansions of the real field
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DOI: 10.1090/tran/7691
Abstract: For first-order expansions of the field of real numbers, nondefinability of the set of natural numbers is equivalent to equality of topological and Assouad dimension on images of closed definable sets under definable continuous maps. read more here.
Keywords: real field; field; tameness expansions; metric dimensions ... See more keywords
Sharp Bounds of Local Fractional Metric Dimensions of Connected Networks
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DOI: 10.1109/access.2020.3025018
Abstract: Metric dimension is a distance based parameter which is used to determine the locations of machines (or robots) with respect to minimum consumption of time, shortest distance among the destinations and lesser number of the… read more here.
Keywords: fractional metric; bounds local; metric dimensions; local fractional ... See more keywords
On Metric Dimensions of Symmetric Graphs Obtained by Rooted Product
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DOI: 10.3390/math6100191
Abstract: Let G = (V, E) be a connected graph and d(x, y) be the distance between the vertices x and y in G. A set of vertices W resolves a graph G if every vertex… read more here.
Keywords: graphs; dimensions symmetric; rooted product; metric dimension ... See more keywords