Results 61 to 70 of about 7,385 (154)
Quantum Unique Ergodicity for Cayley Graphs of Quasirandom Groups. [PDF]
Commun Math Phys, 2023 Magee M, Thomas J, Zhao Y.
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Some Structural Properties of Unitary Addition Cayley Graphs
International Journal of Computer Applications, 2015 For a positive integer n > 1, the unitary addition Cayley graph Gn is the graph whose vertex set is V (Gn) = Zn = f0;1;2; ;n 1g and the edge set E(Gn) =fabj a;b2 Zn;a + b2 Ung where Un =fa2 Zn j gcd(a;n) = 1g. For Gn the independence number, chromatic number, edge chromatic number, diameter, vertex connectivity, edge connectivity and perfectness are ...
Chithra.A.V Chithra.A.V +1 more
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Quadratic unitary Cayley graphs of finite commutative rings
Linear Algebra and its Applications, 2015 The purpose of this paper is to study spectral properties of a family of Cayley graphs on finite commutative rings. Let $R$ be such a ring and $R^\times$ its set of units. Let $Q_R=\{u^2: u\in R^\times\}$ and $T_R=Q_R\cup(-Q_R)$. We define the quadratic unitary Cayley graph of $R$, denoted by $\mathcal{G}_R$, to be the Cayley graph on the additive ...
Liu, Xiaogang, Zhou, Sanming
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Universality in long-distance geometry and quantum complexity. [PDF]
Nature, 2023 Brown AR +3 more
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A COMPLETE CLASSIFICATION OF PERFECT UNITARY CAYLEY GRAPHS
Due to their elegant and simple nature, unitary Cayley graphs have been an active research topic in the literature. These graphs are naturally connected to several branches of mathematics, including number theory, finite algebra, representation theory, and graph theory. In this article, we study the perfectness property of these graphs. More precisely,
Mináč, Ján +2 more
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Walks on Unitary Cayley Graphs and Applications
, 2012 In this paper, we determine an explicit formula for the number of walks in $X_n = \textsf{Cay}(\mathbb{Z}_n,\mathbb{U}_n)$, the unitary Cayley Graphs of order $n$, between any pair of its vertices. With this result, we give the number of representations of a fixed residue class $\bmod{}n$ as the sum of $k$ units of $\mathbb{Z}_n$.
Cancela, Elias +3 more
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Vertex and Edge Padmakar-Ivan Indices of Unitary Cayley Graphs
Missouri Journal of Mathematical Sciences, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Philipose, Roshan Sara +1 more
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Complete Gradient Estimates of Quantum Markov Semigroups. [PDF]
Commun Math Phys, 2021 Wirth M, Zhang H.
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Integrable and Chaotic Systems Associated with Fractal Groups. [PDF]
Entropy (Basel), 2021 Grigorchuk R, Samarakoon S.
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Quantum Walk on the Generalized Birkhoff Polytope Graph. [PDF]
Entropy (Basel), 2021 Cação R +5 more
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