Results 11 to 20 of about 1,687,821 (139)
Interpolation between Airy and Poisson statistics for unitary chiral non-Hermitian random matrix ensembles [PDF]
, 2010 We consider a family of chiral non-Hermitian Gaussian random matrices in the unitarily invariant symmetry class. The eigenvalue distribution in this model is expressed in terms of Laguerre polynomials in the complex plane.
Akemann, G, Bender, M
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The chiral Gaussian two-matrix ensemble of real asymmetric matrices [PDF]
, 2009 We solve a family of Gaussian two-matrix models with rectangular Nx(N+nu) matrices,having real asymmetric matrix elements and depending on a non-Hermiticity parameter mu.
Akemann, G, Phillips, MJ, Sommers, HJ
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Ranking hubs and authorities using matrix functions [PDF]
, 2013 The notions of subgraph centrality and communicability, based on the exponential of the adjacency matrix of the underlying graph, have been effectively used in the analysis of undirected networks.
Estrada, Ernesto +2 more
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Hermitian Adjacency Matrices of Mixed Graphs [PDF]
, 2022 The traditional adjacency matrix of a mixed graph is not symmetric in general, hence its eigenvalues may be not real. To overcome this obstacle, several authors have recently defined and studied various Hermitian adjacency matrices of digraphs or mixed ...
Alomari, Omar +2 more
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ON SPECTRA OF HERMITIAN RANDIĆ MATRIX OF SECOND KIND [PDF]
Journal of Algebraic SystemsLet $X$ be a mixed graph and $\omega=\frac{1+\i \sqrt{3}}{2}$. We write $i\rightarrow j$, if there is an oriented edge from a vertex $v_i$ to another vertex $v_j$, and $i\sim j$ for an un-oriented edge between the vertices $v_i$ and $v_j$.
A Bharali +3 more
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, 2022 Adjacency matrix of mechanosensitive subnetwork.
Peter Eipert (14026368) +5 more
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On Hermitian Adjacency Matrices for Mixed Graphs [PDF]
, 2022 We study the spectra of mixed graphs about its Hermitian adjacency matrix of the second kind (i.e. N-matrix) introduced by Mohar [1]. We extend some results and define one new Hermitian adjacency matrix, and the entry corresponding to an arc from $u$ to $
She, Tao, Wang, Chunxiang
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Characteristic polynomials of complex random matrix models [PDF]
, 2002 We calculate the expectation value of an arbitrary product of characteristic polynomials of complex random matrices and their hermitian conjugates. Using the technique of orthogonal polynomials in the complex plane our result can be written in terms of
Akemann, G +3 more
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UPPER AND LOWER BOUNDS FOR THE SKEW HERMITIAN RANDIC ENERGY OF STANDARD GRAPHS [PDF]
, 2023 Let us consider a simple graph . The energy of the graph is defined as the sum of the absolute values of the eigen values of the adjacency matrix [1] & [2]. The energy of , denoted by , is called Skew- Hermitian Randić energy, which is defined as the sum
N. Keerthana, S. Meenakshi
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Inverse of $\alpha$-Hermitian Adjacency Matrix of a Unicyclic Bipartite Graph
, 2022 Let $X$ be bipartite mixed graph and for a unit complex number $\alpha$, $H_\alpha$ be its $\alpha$-hermitian adjacency matrix. If $X$ has a unique perfect matching, then $H_\alpha$ has a hermitian inverse $H_\alpha^{-1}$.
Alomari, Omar +2 more
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