Results 31 to 40 of about 680,163 (298)

On a Metric that Characterizes Dimension [PDF]

open access: yesCanadian Journal of Mathematics, 1957
Sometimes it is possible to characterize topological properties of a metrizable space M by claiming that a certain (topologypreserving) metric ρ can be introduced in M.
openaire   +2 more sources

Metric Characterizations of Dimension for Separable Metric Spaces [PDF]

open access: yesProceedings of the American Mathematical Society, 1978
A subset B of a metric space (X, d) is called a d-bisector set iff there are distinct points x and y in X with B = { z : d ( x , z ) = d ( y , z ) } B = \{ z:d(x,z) = d(y,z)\} .
Janos, Ludvik, Martin, Harold W.
openaire   +1 more source

Bounds of Fractional Metric Dimension and Applications with Grid-Related Networks

open access: yesMathematics, 2021
Metric dimension of networks is a distance based parameter that is used to rectify the distance related problems in robotics, navigation and chemical strata. The fractional metric dimension is the latest developed weighted version of metric dimension and
Ali H. Alkhaldi   +3 more
doaj   +1 more source

Spread: a measure of the size of metric spaces [PDF]

open access: yes, 2014
Motivated by Leinster-Cobbold measures of biodiversity, the notion of the spread of a finite metric space is introduced. This is related to Leinster's magnitude of a metric space.
Willerton, Simon
core   +1 more source

Dimensi Metrik Kuat Lokal Graf Hasil Operasi Kali Kartesian

open access: yesContemporary Mathematics and Applications (ConMathA), 2020
The strong local metric dimension is the development result of a strong metric dimension study, one of the study topics in graph theory. Some of graphs that have been discovered about strong local metric dimension are path graph, star graph, complete ...
Nurma Ariska Sutardji   +2 more
doaj   +1 more source

Strong metric dimension: A survey [PDF]

open access: yesYugoslav Journal of Operations Research, 2014
The strong metric dimension has been a subject of considerable amount of research in recent years. This survey describes the related development by bringing together theoretical results and computational approaches, and places the recent results
Kratica Jozef   +3 more
doaj   +1 more source

On the metric dimension of Cayley graphs

open access: yesAKCE International Journal of Graphs and Combinatorics, 2022
In this paper, we investigate the metric dimension, local metric dimension and edge metric dimension for some (generalized) Cayley graphs.
Afsaneh Rezaei   +2 more
doaj   +1 more source

On Constant Metric Dimension of Some Generalized Convex Polytopes

open access: yesJournal of Mathematics, 2021
Metric dimension is the extraction of the affine dimension (obtained from Euclidean space Ed) to the arbitrary metric space. A family ℱ=Gn of connected graphs with n≥3 is a family of constant metric dimension if dimG=k (some constant) for all graphs in ...
Xuewu Zuo   +5 more
doaj   +1 more source

On the Metric Dimension of Cartesian Products of Graphs [PDF]

open access: yes, 2005
A set S of vertices in a graph G resolves G if every vertex is uniquely determined by its vector of distances to the vertices in S. The metric dimension of G is the minimum cardinality of a resolving set of G.
Brigham R. C.   +27 more
core   +5 more sources

Edge Metric and Fault-Tolerant Edge Metric Dimension of Hollow Coronoid

open access: yesMathematics, 2021
Geometric arrangements of hexagons into six sides of benzenoids are known as coronoid systems. They are organic chemical structures by definition. Hollow coronoids are divided into two types: primitive and catacondensed coronoids.
Ali N. A. Koam   +3 more
doaj   +1 more source

Home - About - Disclaimer - Privacy