Embedding products into symmetric products of finite graphs
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DOI: 10.1016/j.topol.2018.04.003
Abstract: Abstract For each positive integer n and a continuum X, we will denote by F n ( X ) the nth-symmetric product of X and by X n the product of X with itself n… read more here.
Keywords: products symmetric; symmetric products; product; embedding products ... See more keywords
Hyperspaces C(p,X) of finite graphs
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DOI: 10.1016/j.topol.2018.08.007
Abstract: Abstract Given a continuum X and p ∈ X , we will consider the hyperspace C ( p , X ) of all subcontinua of X containing p and the family K ( X )… read more here.
Keywords: topology; finite graphs; size; hyperspaces finite ... See more keywords
Quantum Automorphism Groups of Connected Locally Finite Graphs and Quantizations of Discrete Groups
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DOI: 10.1093/imrn/rnad099
Abstract: We construct for every connected locally finite graph $\Pi $ the quantum automorphism group $\operatorname{QAut} \Pi $ as a locally compact quantum group. When $\Pi $ is vertex transitive, we associate to $\Pi $ a… read more here.
Keywords: quantum automorphism; group; finite graphs; operatorname qaut ... See more keywords
On the Solvability of the Discrete s(x,·)-Laplacian Problems on Simple, Connected, Undirected, Weighted, and Finite Graphs
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DOI: 10.3390/e24101353
Abstract: We use the finite dimensional monotonicity methods in order to investigate problems connected with the discrete sx,·-Laplacian on simple, connected, undirected, weighted, and finite graphs with nonlinearities given in a non-potential form. Positive solutions are… read more here.
Keywords: weighted finite; finite graphs; connected undirected; discrete laplacian ... See more keywords
Geometric Classification of Graph C*-algebras over Finite Graphs
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DOI: 10.4153/cjm-2017-016-7
Abstract: Abstract We address the classification problem for graph ${{C}^{*}}$ -algebras of finite graphs (finitely many edges and vertices), containing the class of Cuntz-Krieger algebras as a prominent special case. Contrasting earlier work, we do not… read more here.
Keywords: classification graph; graph algebras; graph; finite graphs ... See more keywords