Results 41 to 50 of about 654,066 (314)
Edge Metric and Fault-Tolerant Edge Metric Dimension of Hollow Coronoid
Mathematics, 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
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On a Metric that Characterizes Dimension [PDF]
Canadian 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.
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Metric Dimensions Of Graphs [PDF]
, 2021 In this article, some kinds of triple belongs to metric dimensions are defined. Some classes of graphs in the matter of these kinds, are studied and the relation amid these kinds are considered. The kind of having equivalency amid these notions and some classes of graphs, is obtained.
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On the metric dimension of Grassmann graphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 special issue in honor of Laci Babai's 60th birthday: Combinatorics, Groups, Algorithms, and Complexity The metric dimension of a graph Gamma is the least number of vertices in a set with the property that the list of distances from any vertex to those in the set uniquely identifies that vertex.
Karen Meagher, Robert F. Bailey
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On the metric dimensions for sets of vertices
Discussiones Mathematicae Graph Theory, 2020 21 pages, 5 ...
Hakanen, Anni +3 more
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Metric dimension of metric transform and wreath product
Karpatsʹkì Matematičnì Publìkacìï, 2019 Let $(X,d)$ be a metric space. A non-empty subset $A$ of the set $X$ is called resolving set of the metric space $(X,d)$ if for two arbitrary not equal points $u,v$ from $X$ there exists an element $a$ from $A$, such that $d(u,a) \neq d(v,a)$.
B.S. Ponomarchuk
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On Adjacency Metric Dimension of Some Families of Graph
Journal of Function Spaces, 2022 Metric dimension of a graph is a well-studied concept. Recently, adjacency metric dimension of graph has been introduced. A set Qa⊂VG is considered to be an adjacency metric generator for G if u1,u2∈V\Qa (supposing each pair); there must exist a vertex q∈
Ali N. A. Koam +4 more
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On the Dominant Local Resolving Set of Vertex Amalgamation Graphs
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2023 Basically, the new topic of the dominant local metric dimension which be symbolized by Ddim_l (H) is a combination of two concepts in graph theory, they were called the local metric dimension and dominating set. There are some terms in this topic that is
Reni Umilasari +3 more
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Theoretical Computer Science, 2020 Abstract Resolving sets are designed to locate an object in a network by measuring the distances to the object. However, if there are more than one object present in the network, this can lead to wrong conclusions. To overcome this problem, we introduce the concept of solid-resolving sets.
Anni Hakanen +2 more
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Metric based resolvability of cycle related graphs
AIMS MathematicsIf a subset of vertices of a graph, designed in such a way that the remaining vertices have unique identification (usually called representations) with respect to the selected subset, then this subset is named as a metric basis (or resolving set).
Ali N. A. Koam
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