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Fuzzy Subgroups and Digraphs Induced by Fuzzy Subgroups [PDF]
Transactions on Fuzzy Sets and Systems, 2022 Given a fuzzy subgroup $\mu$ of a group $G$, $x\rhd_uy$ if and only if $\mu(xy) < \mu(yx)$ defines a directed relation with an associated digraph $(G, \rhd_u)$.
Paul J. Allen +2 more
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Action graph of a semigroup act & its functorial connection [PDF]
Categories and General Algebraic Structures with Applications, 2023 In this paper we define C-induced action graph G(S,a,C;A) corresponding to a semigroup act (S,a,A) and a subset C of S. This generalizes many interesting graphs including Cayley Graph of groups and semigroups, Transformation Graphs (TRAG), Group Action ...
Promit Mukherjee +2 more
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On Haar digraphical representations of groups [PDF]
Discrete Mathematics, 2020 8 ...
Du J. -L., Feng Y. -Q., Spiga P.
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Electronic Journal of Graph Theory and Applications, 2021 A Hamiltonian graph G = (V,E) is called hyper-Hamiltonian if G-v is Hamiltonian for any v ∈ V(G). G is called a circulant if its automorphism group contains a |V(G)|-cycle.
Zbigniew R. Bogdanowicz
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Ordered-Bipartite Consensus of Multi-Agent Systems under Finite Time Control
Applied Sciences, 2022 Since group consensus (GC) control accounts for one-half of the multi-robot coordination domain, as does complete consensus control, this paper will formulate a certain kind of GC and group bipartite consensus (GBC) in finite time for multi-agent systems
Tiehui Zhang +5 more
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On n-partite digraphical representations of finite groups [PDF]
Journal of Combinatorial Theory, Series A, 2022 9 ...
Du J. -L., Feng Y. -Q., Spiga P.
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Automorphism Groups of Wreath Product Digraphs [PDF]
The Electronic Journal of Combinatorics, 2009 We generalize a classical result of Sabidussi that was improved by Hemminger, to the case of directed color graphs. The original results give a necessary and sufficient condition on two graphs, $C$ and $D$, for the automorphsim group of the wreath product of the graphs, ${\rm Aut}(C\wr D)$ to be the wreath product of the automorphism groups ${\rm Aut}(
Dobson, Edward, Morris, Joy
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Realization of digraphs in Abelian groups and its consequences [PDF]
Journal of Graph Theory, 2021 AbstractLet be a directed graph of order with no component of order less than 3, and let be a finite Abelian group such that or if is large enough with respect to an arbitrarily fixed then . We show that there exists an injective mapping from to the group such that for every connected component of , where 0 is the identity element of ...
Sylwia Cichacz, Zsolt Tuza
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Modeling of Barriers to the Adoption of Autonomous Vehicles: DEMATEL Method
Engineering Proceedings, 2023 Autonomous vehicles (AVs) have the potential to increase safety while reducing energy use, pollution, and traffic congestion, to name a few positive effects. Industries, however, are having trouble implementing AVs. The goal of this study was to pinpoint
Karan Ashok Jalwani +1 more
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Graph Theory Approach to COVID-19 Transmission by Municipalities and Age Groups
Mathematical and Computational Applications, 2022 The COVID-19 pandemic remains a global problem that affects the health of millions of people and the world economy. Identifying how the movement of people between regions of the world, countries, and municipalities and how the close contact between ...
Pedro Machado +4 more
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