Zobrazeno 1 - 10
of 2 399
pro vyhledávání: '"Spectral graph theory"'
Autor:
Coutinho Gabriel, Guo Krystal
Publikováno v:
Special Matrices, Vol 12, Iss 1, Pp 781-793 (2024)
Quantum walks on graphs are fundamental to quantum computing and have led to many interesting open problems in algebraic graph theory. This review article highlights three key classes of open problems in this domain: perfect state transfer, instantan
Externí odkaz:
https://doaj.org/article/77cbb504a1ca460c9215b1383f09f069
Autor:
Giovanni G. Soares, Ernesto Estrada
Publikováno v:
AIMS Mathematics, Vol 9, Iss 9, Pp 24297-24325 (2024)
Diffusion is a ubiquitous process in real-world syetems. In many complex systems, ranging from neuronal networks to traffic in cities, diffusion is nonconservative (NC) in the sense that diffusive particles can be created/annihilated at the entities
Externí odkaz:
https://doaj.org/article/b4a2d7b1090c426c9741987eef997d11
Autor:
Emmrich Tarek
Publikováno v:
Special Matrices, Vol 12, Iss 1, Pp 9-14 (2024)
For a matrix M∈Kn×n{\bf{M}}\in {{\mathbb{K}}}^{n\times n}, we establish a condition on the Galois group of the characteristic polynomial φM{\varphi }_{{\bf{M}}} that induces nonvanishing of the minors of the eigenvector matrix of M{\bf{M}}. For i
Externí odkaz:
https://doaj.org/article/39ea48bd44d2464eaaadb1f061c27ba3
Autor:
Igal Sason
Publikováno v:
AIMS Mathematics, Vol 9, Iss 6, Pp 15385-15468 (2024)
This paper delves into three research directions, leveraging the Lovász $ \vartheta $-function of a graph. First, it focuses on the Shannon capacity of graphs, providing new results that determine the capacity for two infinite subclasses of strongly
Externí odkaz:
https://doaj.org/article/a74283ebac9a483b8939644f46a6a5da
Autor:
Parul Verma, Kamalini Ranasinghe, Janani Prasad, Chang Cai, Xihe Xie, Hannah Lerner, Danielle Mizuiri, Bruce Miller, Katherine Rankin, Keith Vossel, Steven W. Cheung, Srikantan S. Nagarajan, Ashish Raj
Publikováno v:
Alzheimer’s Research & Therapy, Vol 16, Iss 1, Pp 1-15 (2024)
Abstract Background Alzheimer’s disease (AD) is the most common form of dementia, progressively impairing cognitive abilities. While neuroimaging studies have revealed functional abnormalities in AD, how these relate to aberrant neuronal circuit me
Externí odkaz:
https://doaj.org/article/1cc9785ecf4341a5b2a25b7f79619c43
Autor:
Hirotaka Matsumoto, Motomu Matsui
Publikováno v:
Methods in Ecology and Evolution, Vol 15, Iss 1, Pp 153-163 (2024)
Abstract With the determination of numerous viral and bacterial genome sequences, sequence‐trait relationships, such as the evolution of virulence and associations to geographic location or host, are now being studied. In these studies, phylogeneti
Externí odkaz:
https://doaj.org/article/653193e9f3434e96a1c4a12da78258a9
Autor:
Zhang Jian, Tan Yang
Publikováno v:
Applied Mathematics and Nonlinear Sciences, Vol 9, Iss 1 (2024)
This paper first explores the composition of visual elements in modern digital media artworks, extracts the graphical element features of visual elements by improved SIFT algorithm, and classifies and recognizes the graphical elements using by SVM al
Externí odkaz:
https://doaj.org/article/a53b7b76253341819f052ad5e9cc302b
Publikováno v:
NeuroImage, Vol 279, Iss , Pp 120278- (2023)
The relationship between brain functional connectivity and structural connectivity has caught extensive attention of the neuroscience community, commonly inferred using mathematical modeling. Among many modeling approaches, spectral graph model (SGM)
Externí odkaz:
https://doaj.org/article/78496072f7944951b6f19ec6bf562b43
Autor:
Gianfranco Parlangeli
Publikováno v:
IEEE Access, Vol 11, Pp 126409-126419 (2023)
This paper tackles the eigenvalue allocation problem through an appropriate choice of the edge weights for the class of combinatorially-symmetric Laplacian matrices of acyclic graphs, namely Laplacian matrices showing symmetric zero/nonzero values in
Externí odkaz:
https://doaj.org/article/e4aa2d713b30400698f9eb0dd42cbabd
Autonomous Decentralized Spectral Clustering for Hierarchical Routing of Multi-Hop Wireless Networks
Publikováno v:
IEEE Access, Vol 11, Pp 62424-62435 (2023)
In multi-hop wireless networks (MWNs), hierarchical structures are important to achieve scalable routing control, as well as clustering algorithms for creating such structures and so have been extensively studied. Due to the constraints of MWNs as di
Externí odkaz:
https://doaj.org/article/79de3b03c25c4b19a5cae38c7c9964c1