Results 41 to 50 of about 923,481 (280)
On the dimension growth of groups [PDF]
, 2011 Dimension growth functions of groups have been introduced by Gromov in 1999. We prove that every solvable finitely generated subgroups of the R. Thompson group $F$ has polynomial dimension growth while the group $F$ itself, and some solvable groups of ...
Dranishnikov, Alexander, Sapir, Mark
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Metric Dimension of Line Graphs of Bakelite and Subdivided Bakelite Network
Discrete Dynamics in Nature and Society, 2023 Graph theory is considered one of the major subjects, and it also plays a significant role in the digital world. It has numerous uses in computer science, robot navigation, and chemistry.
Muhammad Umer Farooq +5 more
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Computing Edge Version of Resolvability and Double Resolvability of a Graph
Journal of Chemistry, 2022 The field of graph theory is extensively used to investigate structure models in biology, computer programming, chemistry, and combinatorial optimization. In order to work with the chemical structure, chemists require a mathematical form of the compound.
Muhammad Ahmad +3 more
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Research and Application of Hypernetwork Energy
Jisuanji kexue yu tansuo, 2021 Graph energy plays an important role in research of graph theory. Graph energy and many other similar variants have been applied in many other types of graphs, e.g., undirected graphs, oriented graphs, mixed graphs, and so on.
LIU Shengjiu, LI Tianrui, LIU Jia, XIE Peng
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The partition dimension of subdivision graph on the star
Journal of Physics: Conference Series, 2019 The partition dimension of the graphs is one of the open problems in graph theory. One of the methods which are used researcher is a graph operation, for example, subdivision operations. Let G be a connected graph of order n. The subdivision operation of
Amrullah +4 more
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Metric Dimension on Path-Related Graphs
Mathematical Problems in Engineering, 2021 Graph theory has a large number of applications in the fields of computer networking, robotics, Loran or sonar models, medical networks, electrical networking, facility location problems, navigation problems etc.
Saqib Nazeer +3 more
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Graph-theoretic approach to dimension witnessing
New Journal of Physics, 2021 A fundamental problem in quantum computation and quantum information is finding the minimum quantum dimension needed for a task. For tasks involving state preparation and measurements, this problem can be addressed using only the input–output ...
Maharshi Ray +4 more
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JTAM (Jurnal Teori dan Aplikasi Matematika), 2023 Partition dimension was introduced as a part of interesting topic in graph theory. It was focus to observe about distance. The local partition dimension is an expansion of the partition dimension by adding certain conditions to the representation of the ...
Ilham Saifudin +2 more
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On Weisfeiler-Leman Invariance: Subgraph Counts and Related Graph Properties [PDF]
International Symposium on Fundamentals of Computation Theory, 2018 The $k$-dimensional Weisfeiler-Leman algorithm ($k$-WL) is a fruitful approach to the Graph Isomorphism problem. 2-WL corresponds to the original algorithm suggested by Weisfeiler and Leman over 50 years ago.
V. Arvind +3 more
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Simplicial and Cellular Trees [PDF]
, 2015 Much information about a graph can be obtained by studying its spanning trees. On the other hand, a graph can be regarded as a 1-dimensional cell complex, raising the question of developing a theory of trees in higher dimension.
Duval, Art M. +2 more
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