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008 | 220923b ||||| |||| 00| 0 eng d | ||
020 | _ahbk | ||
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_a516 _bC7392 |
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100 |
_aMuhammad Bin Nasir, _bMS Mathmatics, _c2014-2018, _dSupervised by Dr. Mobeen Munir |
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245 |
_aComputation of metric and K-dimensions of geometric spaces _c/ Muhammad Bin Nasir |
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260 |
_aLahore : _bDivision of Science & Technology, University of Education, _c2018 |
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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 |