Results 21 to 30 of about 128,344 (265)
A problem concerning graphs with just three distinct eigenvalues [PDF]
We investigate the problem of finding all the biregrular graphs with just three adjacency eigenvalues, one of which is an eigenvalue ≠ -1, 0 of maximal possible ...
Rowlinson, Peter
core +1 more source
The main eigenvalues of a graph: a survey [PDF]
We survey results relating main eigenvalues and main angles to the structure of a graph. We provide a number of short proofs, and note the connection with star partitions.
Peter Rowlinson, Rowlinson, Peter
core +1 more source
We survey some of the known results on eigenvalues of Cayley graphs and their applications, together with related results on eigenvalues of Cayley digraphs and generalizations of Cayley graphs.
Xiaogang Liu, Sanming Zhou
openaire +3 more sources
Phase Field Failure Modeling: Brittle‐Ductile Dual‐Phase Microstructures under Compressive Loading
The approach by Amor and the approach by Miehe and Zhang for asymmetric damage behavior in the phase field method for fracture are compared regarding their fitness for microcrack‐based failure modeling. The comparison is performed for the case of a dual‐phase microstructure with a brittle and a ductile constituent.
Jakob Huber, Jan Torgersen, Ewald Werner
wiley +1 more source
On the eigenvalues and Seidel eigenvalues of chain graphs
In this paper we consider the eigenvalues and the Seidel eigenvalues of a chain graph. An$\dbar$elić, da Fonseca, Simić, and Du \cite{andelic2020tridiagonal} conjectured that there do not exist non-isomorphic cospectral chain graphs with respect to the adjacency spectrum. Here we disprove this conjecture.
Zhuang Xiong, Yaoping Hou
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A linear eigenvalue algorithm for the nonlinear eigenvalue problem [PDF]
A nonlinear matrix eigenvalue problem (NMEP) \(T(\lambda)x=0\) is transformed without loss of generality into a standard form \(\lambda B(\lambda)x=x\) (\(T\) and \(B\) analytic in \(\Omega\subset\mathbb{C}\)). This is then transformed into a linear operator eigenvalue problem (LOEP) of the form \(\lambda\mathcal{B}\varphi=\varphi\) (\(\varphi\in C_ ...
Elias Jarlebring +2 more
openaire +1 more source
This study uncovers the unexplored role of intermolecular interactions in multiphoton absorption in coordination polymers. By analyzing [Zn2tpda(DMA)2(DMF)0.3], it shows how the electronic coupling of the chromophores and confinement in the MOF enhance two‐and three‐photon absorption.
Simon Nicolas Deger +11 more
wiley +1 more source
On eigenvalues and main eigenvalues of a graph [PDF]
Given the eigenvalues of a graph \(G\) on \(n\) vertices, for the \(i\)th eigenvalue of (a) the complement \(\overline G\) of \(G\), (b) the Seidel matrix of \(G\), and (c) a graph switching equivalent to \(G\), an interval containing this eigenvalue is determined. In addition, it is proved that the sum of all main eigenvalues of \(G\) (\(k\) in number)
openaire +2 more sources
Gapless Superconductivity From Extremely Dilute Magnetic Disorder in 2H‐NbSe2‐xSx
We demonstrate that 2H‐NbSe2‐xSx hosts gapless superconductivity at unexpectedly low magnetic impurity concentrations. Combining STM, Bogoliubovde Gennes simulations, DFT, and quasiparticle interference, we comprehensively study the development of gapless behavior and show that SeS substitution reshapes the band structure, enhances nesting, and drives ...
Jose Antonio Moreno +16 more
wiley +1 more source
This repository implements the paper "Eigenvectors from Eigenvalues" that "relates the norm squared of the elements of eigenvectors to the eigenvalues and the submatrix eigenvalues." Implementation is in PyTorch, enabling deployment on CPU and GPU for ...
Ritchie Ng
core +1 more source

