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020 _ahbk
082 _a516
_bC7392
100 _aMuhammad Bin Nasir,
_bMS Mathmatics,
_c2014-2018,
_dSupervised by Dr. Mobeen Munir
245 _aComputation of metric and K-dimensions of geometric spaces
_c/ Muhammad Bin Nasir
260 _aLahore :
_bDivision of Science & Technology, University of Education,
_c2018
300 _a77 p.
520 _aLet (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.
650 _aMathematics--Computation--K-Dimensions--Geometric Spaces
942 _cTH