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• W54962095 abstract "Let (W,d) be a metric space and S={s1 …sk} an ordered list of subsets of W. The distance between p∈W and si∈S is d(p, si)= min { d(p,q) : q∈si }. S is a resolving set for W if d(x, si)=d(y, si) for all si implies x=y. A metric basis is a resolving set of minimal cardinality, named the metric dimension of (W,d). The metric dimension has been extensively studied in the literature when W is a graph and S is a subset of points (classical case) or when S is a partition of W ; the latter is known as the partition dimension problem. We have recently studied the case where W is the discrete space ℤn for a subset of points; in this paper, we tackle the partition dimension problem for classical Minkowski distances as well as polyhedral gauges and chamfer norms in ℤn." @default.
• W54962095 created "2016-06-24" @default.
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• W54962095 date "2013-01-01" @default.
• W54962095 modified "2023-09-24" @default.
• W54962095 title "On Dimension Partitions in Discrete Metric Spaces" @default.
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• W54962095 doi "https://doi.org/10.1007/978-3-642-37067-0_2" @default.
• W54962095 hasPublicationYear "2013" @default.
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