Results 21 to 30 of about 1,687,821 (139)
Inverse of \(\alpha\)-Hermitian Adjacency Matrix of a Unicyclic Bipartite Graph
Journal of Combinatorial Mathematics and Combinatorial ComputingLet \(X\) 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 \(H_\alpha^{-1}\). In this paper we give a full description of the entries of \(H_\alpha^{-1}\) in terms of the paths between the ...
Alomari, Omar +2 more
openaire +2 more sources
Hermitian adjacency matrices of mixed multigraphs
, 2022 A mixed multigraph is obtained from an undirected multigraph by orienting a subset of its edges. In this paper, we study a new Hermitian matrix representation of mixed multigraphs, give an introduction to cospectral operations on mixed multigraphs, and ...
Yuan, Bo-Jun, Wang, Dijian, Sun, Shaowei
core
On the multiplicities of digraph eigenvalues
, 2023 Addition formula; Complex spherical code; Hermitian adjacency matrix; Star ...
Gavrilyuk, Alexander L., Suda, Sho
core +1 more source
1 W Single‐Mode Large‐Area Edge‐Emitting Laser via Non‐Hermitian Spatial Mode Filtering
Laser &Photonics Reviews, EarlyView.We demonstrate a non‐Hermitian spatial mode filtering approach for achieving high‐power single‐mode operation in large‐area edge‐emitting laser diodes. By symmetrically coupling passive filter arrays to the main lasing waveguide, higher‐order transverse modes are effectively suppressed while preserving the fundamental mode.
Ece Karabey +4 more
wiley +1 more source
Journal of Microscopy, EarlyView.Abstract In the domain of battery research, the processing of high‐resolution microscopy images is a challenging task, as it involves dealing with complex images and requires a prior understanding of the components involved. The utilisation of deep learning methodologies for image analysis has attracted considerable interest in recent years, with ...
Ganesh Raghavendran +7 more
wiley +1 more source
Clinical and Translational Discovery, Volume 6, Issue 6, December 2026.Teleport‐stabilised quantum‐walk transport for robust neoantigen ranking in near‐tie regimes. The analysis proceeds from patient‐conditioned candidate definition to weighted evidence‐graph construction, quotient‐basin compression, continuous‐time quantum‐walk (CTQW)/discrete‐time quantum walk (DTQW) transport, teleport‐consensus stabilisation, ABHA ...
Ioannis Grigoriadis
wiley +1 more source
γ-Inverse graph of some mixed graphs
Special MatricesLet GG be a graph. Then, the inverse graph G−1{G}^{-1} of GG is defined to be a graph that has adjacency matrix similar to the inverse of the adjacency matrix of GG, where the similarity matrix is ±1\pm 1 diagonal matrix. In this article, we introduced a
Boulahmar Wafa +2 more
doaj +1 more source
Data‐Driven Spectral Prediction for Accelerating Large‐Scale Electronic Structure Calculations
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT Simulating large molecular systems comprising thousands of atoms requires highly scalable methodologies. While modern Density Functional Theory (DFT) codes exhibit linear scaling, solving the associated large, sparse generalized eigenproblems remains a critical computational bottleneck on exascale architectures.
Abhiram Badrinarayanan +6 more
wiley +1 more source
Vertex adjacency matrix and edge adjacency matrix of a sample graph network.
, 2023 Vertex adjacency matrix and edge adjacency matrix of a sample graph network.
Ertugrul Taciroglu (17692267) +3 more
core +1 more source
Resonant States Reveal Strong Light–Matter Coupling in Nanophotonic Cavities
Laser &Photonics Reviews, Volume 20, Issue 20, 21 October 2026.Photonic resonant states reveal characteristics of coupled light–matter systems that would otherwise be hidden by damping. Their trajectories (when tuning the optical resonance) undergo a qualitative change at the onset of strong coupling: They start swapping positions.
Jan David Fischbach +5 more
wiley +1 more source