Computation of metric and K-dimensions of geometric spaces
Muhammad Bin Nasir, MS Mathmatics, 2014-2018, Supervised by Dr. Mobeen Munir
Computation of metric and K-dimensions of geometric spaces / Muhammad Bin Nasir - Lahore : Division of Science & Technology, University of Education, 2018 - 77 p.
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\ 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.
hbk
Mathematics--Computation--K-Dimensions--Geometric Spaces
516 / C7392
Computation of metric and K-dimensions of geometric spaces / Muhammad Bin Nasir - Lahore : Division of Science & Technology, University of Education, 2018 - 77 p.
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\ 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.
hbk
Mathematics--Computation--K-Dimensions--Geometric Spaces
516 / C7392
