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The Dominant Metric Dimension of Corona Product Graphs
The metric dimension and dominating set are the concept of graph theory that can be developed in terms of the concept and its application in graph operations.
Rembulan Putri Adirasari +2 more
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Dimension theory of graphs and networks [PDF]
Starting from the working hypothesis that both physics and the corresponding mathematics have to be described by means of discrete concepts on the Planck-scale, one of the many problems one has to face in this enterprise is to find the discrete protoforms of the building blocks of continuum physics and mathematics.
Nowotny, Thomas, Requardt, Manfred
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On the VC-dimension, covering and separating properties of the cycle and spanning tree hypergraphs of graphs [PDF]
In this paper, we delve into studying some relations between the structure of the cycles and spanning trees of a graph through the lens of its cycle and spanning tree hypergraphs which are hypergraphs with the edge set of the graph as their vertices ...
Alireza Mofidi
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Fault-Tolerant Partition Resolvability of Cyclic Networks
Graph invariants provide an amazing tool to analyze the abstract structures of networks. The interaction and interconnection between devices, sensors, and service providers have opened the door for an eruption of mobile over the web applications ...
Kamran Azhar +3 more
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Dimension Theory of Some Non-Markovian Repellers Part II: Dynamically Defined Function Graphs [PDF]
This is the second part in a series of two papers. Here, we give an overview on the dimension theory of some dynamically defined function graphs, like Takagi and Weierstrass function, and we study the dimension of Markovian fractal interpolation functions and generalised Takagi functions generated by non-Markovian dynamics.
Bárány, Balázs +2 more
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Star metric dimension of complete, bipartite, complete bipartite and fan graphs
One of the topics in graph theory that is interesting and developed continuously is metric dimension. It has some new variation concepts, such as star metric dimension.
Reni Umilasari +2 more
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Dimensi Metrik Kuat Lokal Graf Hasil Operasi Kali Kartesian
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
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On the metric dimension of Cartesian powers of a graph [PDF]
A set of vertices S resolves a graph if every vertex is uniquely determined by its vector of distances to the vertices in S. The metric dimension of a graph is the minimum cardinality of a resolving set of the graph.
Zilin Jiang, N. Polyanskii
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Comparative Study of Prism Octahedron Network via Eccentric Invariants
Topological indices are empirical features of graphs that characterize the topology of the graph and, for the most part, are graph independent. An important branch of graph theory is chemical graph theory.
Haidar Ali +5 more
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On the Dominant Local Resolving Set of Vertex Amalgamation Graphs
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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