Results 21 to 30 of about 128,344 (265)

A problem concerning graphs with just three distinct eigenvalues [PDF]

open access: yes, 2020
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]

open access: yes, 2007
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

Eigenvalues of Cayley Graphs

open access: yesThe Electronic Journal of Combinatorics, 2022
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

open access: yesAdvanced Engineering Materials, EarlyView.
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

open access: yesDiscrete Applied Mathematics
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
openaire   +2 more sources

A linear eigenvalue algorithm for the nonlinear eigenvalue problem [PDF]

open access: yesNumerische Mathematik, 2012
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

Intermolecular Interactions as Driving Force of Increasing Multiphoton Absorption in a Perylene Diimide‐Based Coordination Polymer

open access: yesAdvanced Functional Materials, Volume 36, Issue 43, 29 May 2026.
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]

open access: yesMathematica Moravica, 2000
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

open access: yesAdvanced Materials, EarlyView.
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

ritchieng/eigenvectors-from-eigenvalues: Non-optimized PyTorch Eigenvectors from Eigenvalues Implementation

open access: yes, 2019
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

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