Results 61 to 70 of about 48,454 (295)
On the essential spectrum of the Laplacian and the drifted Laplacian
This paper concerns the $L^2$ essential spectrum of the Laplacian $ $ and the drift Laplacian $ _f$ on complete Riemannian manifolds endowed with a weighted measure $e^{-f}d\;vol_g$. We prove that the essential spectrum of the drift Laplacian $ _f$ is $[0,+\infty) $ provided the Bakry- mery curvature tensor $Ric_f$ is nonnegative and $f$ has ...
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Drug Resistance Predictions Based on a Directed Flag Transformer
CAPTURE, a deep learning framework combining structural and sequence data to predict drug‐resistant Mpro mutations, revealing that PAXLOVID use may be accelerating resistance—supporting real‐time viral surveillance and therapeutic design. Abstract The evolving SARS‐CoV‐2 virus threatens global public health, particularly with potential resistance to ...
Dong Chen+8 more
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Analysis of the Laplacian of an incomplete manifold with almost polar boundary [PDF]
Motivated by recent interest in global analysis of singular manifolds, we establish the essential self-adjointness of a Laplacian, a Liouville property of subharmonic functions, conservativeness and parabolicity of an incomplete manifold.
Jun Nasmaune
doaj
More on Spectral Analysis of Signed Networks
Spectral graph theory plays a key role in analyzing the structure of social (signed) networks. In this paper we continue to study some properties of (normalized) Laplacian matrix of signed networks. Sufficient and necessary conditions for the singularity
Guihai Yu, Hui Qu
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HiCGen introduces a hierarchical deep learning framework to predict genome organization across spatial scales using DNA sequences and genomic features. The model enables cross‐cell‐type predictions and in silico perturbation analysis, revealing correlations between loop domains and higher‐order structures.
Jiachen Wei, Yue Xue, Yi Qin Gao
wiley +1 more source
Zwitterionic Heavier Pnictinidenes in Redox Catalysis
Zwitterionic pnictinidenes: A new class of zwitterionic heavier pnictogen species stabilized by bis(N‐heterocyclic carbene)borate ligands is reported, enabling the isolation of Sb and Bi in multiple oxidation states. These thoroughly characterized systems exhibit cationic character and engage in redox catalysis, facilitating catalytic ...
Selwin Fernando+7 more
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Signless Laplacian energy of a first KCD matrix
The concept of first KCD signless Laplacian energy is initiated in this article. Moreover, we determine first KCD signless Laplacian spectrum and first KCD signless Laplacian energy for some class of graphs and their complement.
Mirajkar Keerthi G., Morajkar Akshata
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On distance matrices and Laplacians [PDF]
The distance matrix \(D\) of a graph \(G\) of order \(n\) is the \(n\times n\) matrix with zeroes on the diagonal where the entries represent distances between pairs of vertices of \(G\). The authors extend a previous result for unweighted trees of \textit{R. L. Graham} and \textit{L. Lovász} [Adv. Math. 29, 60--88 (1978; Zbl 0382.05023)] and provide a
Steve Kirkland+2 more
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This study developed an unsupervised radiomics system integrating CT imaging and multi‐omics data to stratify clear cell renal cell carcinoma into two subtypes with distinct clinical outcomes. Cluster 1 showed lower recurrence risk and active immunity, while Cluster 2 exhibited higher recurrence risk, enriched VHL/KDM5C mutations, immunosuppressive ...
Yusheng Guo+14 more
wiley +1 more source
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