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Computation of metric and K-dimensions of geometric spaces / Muhammad Bin Nasir

By: Material type: TextTextPublication details: Lahore : Division of Science & Technology, University of Education, 2018Description: 77 pISBN:
  • hbk
Subject(s): DDC classification:
  • 516 C7392
Summary: Let (X, d) be a metric space. A subset B of X is said to be a resolving set of X if each element of X can be represented uniquely by the distances d(x, b), ∀ b ∈ B. A subset B of X is fault-tolerant metric generator if B resolves X and B\{x} also resolve X for any x ∈ B. Fault-tolerant metric dimension ´ ß(X) is minimum cardinality of fault-tolerant metric generator B. In this work we are giving basic results for fault-tolerance in metric dimension of Euclidian space and geometric spaces.
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Item type Current library Call number Status Date due Barcode
Theses Theses UE-Central Library 516 C7392 (Browse shelf(Opens below)) Not for loan TTH123

Let (X, d) be a metric space. A subset B of X is said to be a resolving
set of X if each element of X can be represented uniquely by the distances
d(x, b), ∀ b ∈ B. A subset B of X is fault-tolerant metric generator if B
resolves X and B\{x} also resolve X for any x ∈ B. Fault-tolerant metric
dimension ´ ß(X) is minimum cardinality of fault-tolerant metric generator
B. In this work we are giving basic results for fault-tolerance in metric
dimension of Euclidian space and geometric spaces.

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