Results 41 to 50 of about 32,903 (262)
On the determinant of the adjacency matrix for a planar sublattice
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P. A. Deift, Carlos Tomei
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Vacuolar H+‐ATPase (V‐ATPase) is a multisubunit rotary proton pump that acidifies intracellular compartments. Using elastic network models, we identified conserved hinge residues that govern its large‐scale functional motions. We show that intrinsically encoded ‘soft modes’ drive critical functional transitions, including rotary catalysis and ...
Diksha Parwana +3 more
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Interval Valued Secondary k-Range Symmetric Quadri Partitioned Neutrosophic Fuzzy Matrices with Decision Making [PDF]
The objective of this study is to establish the results concerning Interval-Valued (IV) Secondary k-Range Symmetric (RS) Quadri Partitioned Neutrosophic Fuzzy Matrices (QPNFM).
K. Radhika +5 more
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A new matrix representation of multidigraphs
In this article, we introduce a new matrix associated with a multidigraph, named as the complex adjacency matrix. We study the spectral properties of bipartite multidigraphs corresponding to the complex adjacency matrix.
Sasmita Barik, Gopinath Sahoo
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The k-adjacency operators and adjacency Jacobi matrix on distance-regular graphs
We deal in this work with a class of graphs, namely, the class of distance-regular graphs, in which on the basis of $k$-adjacency operators, the adjacency operator $A$ of a distance-regular graph is identified as a Jacobi matrix. To get so, the set of the $k$-adjacency operators is recognized as a canonical basis in a certain Hilbert space, where the ...
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Comparing the paths of Hedgehog release in artificial and natural settings
Hh morphogens require solubilization factors to overcome their tight association with the plasma membrane and signal to distant cells, but the precise functions of these factors are controversial. Here, we use published in vivo observations as the most relevant evidence to test their suggested functions and discuss contradictions and gaps between in ...
Janna Puschmann, Kay Grobe
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Moment-Based Spectral Analysis of Large-Scale Generalized Random Graphs
This paper investigates the spectra of the adjacency matrix and Laplacian matrix for an artificial complex network model-the generalized random graph. We deduce explicit expressions for the first four asymptotic spectral moments of the adjacency matrix ...
Qun Liu, Zhishan Dong, En Wang
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Contribution of directedness in graph spectra
In graph analyses, directed edges are often approximated to undirected ones so that the adjacency matrices may be symmetric. However, such a simplification has not been thoroughly verified. In this study, we investigate how directedness affects the graph
Masaki Ochi, Tatsuro Kawamoto
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Matchings on trees and the adjacency matrix: A determinantal viewpoint
AbstractLet be a finite tree. For any matching of , let be the set of vertices uncovered by . Let be a uniform random maximum size matching of . In this paper, we analyze the structure of . We first show that is a determinantal process. We also show that for most vertices of , the process in a small neighborhood of that vertex can be well ...
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Tumour–host interactions in Drosophila: mechanisms in the tumour micro‐ and macroenvironment
This review examines how tumour–host crosstalk takes place at multiple levels of biological organisation, from local cell competition and immune crosstalk to organism‐wide metabolic and physiological collapse. Here, we integrate findings from Drosophila melanogaster studies that reveal conserved mechanisms through which tumours hijack host systems to ...
José Teles‐Reis, Tor Erik Rusten
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