Results 31 to 40 of about 7,385 (154)
A Classification of Ramanujan Unitary Cayley Graphs [PDF]
The Electronic Journal of Combinatorics, 2010 The unitary Cayley graph on $n$ vertices, $X_n$, has vertex set ${\Bbb Z}/{n\Bbb Z}$, and two vertices $a$ and $b$ are connected by an edge if and only if they differ by a multiplicative unit modulo $n$, i.e. ${\rm gcd}(a-b,n) = 1$. A $k$-regular graph $X$ is Ramanujan if and only if $\lambda(X) \leq 2\sqrt{k-1}$ where $\lambda(X)$ is the second ...
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Perfect state transfer in unitary Cayley graphs over local rings [PDF]
Transactions on Combinatorics, 2014 In this work, using eigenvalues and eigenvectors of unitary Cayley graphs over finite local rings and elementary linear algebra, we characterize which local rings allowing PST occurring in its unitary Cayley graph.
Yotsanan Meemark , Songpon Sriwongsa
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Cayley graphs and complexity geometry
Journal of High Energy Physics, 2019 The basic idea of quantum complexity geometry is to endow the space of unitary matrices with a metric, engineered to make complex operators far from the identity, and simple operators near. By restricting our attention to a finite subgroup of the unitary
Henry W. Lin
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On unitary Cayley graphs of matrix rings
Discrete Mathematics, 2022 A unitary Cayley graph \(C_R\) of a ring \(R\) is the graph whose vertex set consists of the elements of \(R\) and two vertices \(x\), \(y\) are adjacent if and only if \(x-y\) is a unit of \(R\). The authors of the paper investigate the spectra of the Cayley graphs of matrix rings \(M_n(F_q)\) and \(M_n(R)\), where \(R\) is a finite commutative ring ...
Chen, Bocong, Huang, Jing
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The eigenvalues and energy of integral circulant graphs [PDF]
Transactions on Combinatorics, 2012 A graph is called textit{circulant} if it is a Cayley graph on acyclic group, i.e. its adjacency matrix is circulant. Let $D$ be aset of positive, proper divisors of the integer $n>1$.
Mohsen Mollahajiaghaei
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The energy of unitary cayley graphs
Linear Algebra and its Applications, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Energy of unitary Cayley graphs and gcd-graphs
Linear Algebra and its Applications, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kiani, Dariush +3 more
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Transactions of the London Mathematical Society, Volume 5, Issue 1, Page 132-183, December 2018., 2018 Abstract The richly developed theory of complex manifolds plays important roles in our understanding of holomorphic functions in several complex variables. It is natural to consider manifolds that will play similar roles in the theory of holomorphic functions in several non‐commuting variables.
Jim Agler, John E. McCarthy, N. J. Young
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Functions of self‐adjoint operators in ideals of compact operators
Journal of the London Mathematical Society, Volume 95, Issue 1, Page 157-176, February 2017., 2017 Abstract For self‐adjoint operators A,B, a bounded operator J, and a function f:R→C, we obtain bounds in quasi‐normed ideals of compact operators for the difference f(A)J−Jf(B) in terms of the operator AJ−JB. The focus is on functions f that are smooth everywhere except for finitely many points. A typical example is the function f(t)=|t|γ with γ∈(0,1).
Alexander V. Sobolev
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Generalized covariance‐based inference for models set‐identified from independence restrictions
Journal of Time Series Analysis, Volume 46, Issue 2, Page 300-324, March 2025.This article develops statistical inference methods for a class of set‐identified models, where the errors are known functions of observations and the parameters satisfy either serial or/and cross‐sectional independence conditions. This class of models includes the independent component analysis (ICA), Structural Vector Autoregressive (SVAR), and multi‐
Christian Gourieroux, Joann Jasiak
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