We study the Sombor index and the Sombor spectral properties of chain graphs. In particular, an explicit formula for the Sombor index is given, the Sombor eigenvalues are discussed, bounds on the largest and the smallest Sombor eigenvalues are presented, chain graphs with the simple Sombor eigenvalue are characterized, formulae for the Frobenius norm and the determinant of the Sombor quotient matrix of chain graphs are given, the Sombor spread bound and the Sombor energy bounds are presented along with the characterization of graphs attaining them.
Download full-text PDF |
Source |
|---|---|
| http://www.ncbi.nlm.nih.gov/pmc/articles/PMC10395351 | PMC |
| http://dx.doi.org/10.1016/j.heliyon.2023.e18135 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
FlowPacker: Protein side-chain packing with torsional flow matching.
Bioinformatics
January 2025
Department of Molecular Genetics, University of Toronto, Ontario, M5S 3K3, Canada.
Motivation: Accurate prediction of protein side-chain conformations is necessary to understand protein folding, protein-protein interactions and facilitate de novo protein design.
Results: Here we apply torsional flow matching and equivariant graph attention to develop FlowPacker, a fast and performant model to predict protein side-chain conformations conditioned on the protein sequence and backbone. We show that FlowPacker outperforms previous state-of-the-art baselines across most metrics with improved runtime.
Structural characterization of codon 129 polymorphism in prion peptide segments (PrP127-132) using the Markov State Models.
J Mol Graph Model
March 2025
Department of Chemistry, Faculty of Science and Technology, University of Nairobi, P.O. Box 30197-00100, Nairobi, Kenya.
The human prion protein gene (PRNP) consists of two common alleles that encode either methionine or valine residues at codon 129. Polymorphism at codon 129 of the prion protein (PRNP) gene is closely associated with genetic variations and susceptibility to specific variants of prion diseases. The presence of these different alleles, known as the PRNP codon 129 polymorphism, plays a significant role in disease susceptibility and progression.
View Article and Find Full Text PDFGADIFF: a transferable graph attention diffusion model for generating molecular conformations.
Brief Bioinform
November 2024
School of Information Science and Technology, Northeast Normal University, 130117 Changchun, China.
Article Synopsis
- GADIFF is a novel graph attention diffusion model designed for generating molecular conformations, leveraging equivariant networks and self-attention mechanisms to enhance feature representation and noise prediction.
- The model incorporates Graph Isomorphism Networks for capturing local interactions within molecular structures and demonstrates improved performance in generating diverse and accurate molecular conformations compared to existing state-of-the-art methods.
- A derived model, GADIFF-NCI, extends GADIFF's capabilities to noncovalent interaction systems, showing effective conformation generation, indicating its potential for broader applications in studying complex molecular conformations.
Deep learning-based study on assessment and enhancement strategy for geological disaster emergency evacuation capacity in Changbai Mountain North Scenic Area.
Sci Rep
December 2024
College of Jilin Emergency Management, Changchun Institute of Technology, Changchun, 130021, China.
This study focuses on the northern scenic area of Changbai Mountain, aiming to evaluate the emergency evacuation capacity of the region in the context of geological disasters and to formulate corresponding improvement strategies. Due to the relatively small area of this region, difficulties in data acquisition, and insufficient precision, traditional models for evaluating emergency evacuation capacity are typically applied to urban built environments, with relatively few studies addressing scenic areas. To tackle these issues, this research employs the Real-Enhanced Super-Resolution Generative Adversarial Network (Real-ESRGAN), which successfully resolves the problem of blurriness in remote sensing images and significantly enhances image clarity.
View Article and Find Full Text PDFGraphLOGIC: Lethality prediction of osteogenesis imperfecta on type I collagen by a mechanics-informed graph neural network.
Int J Biol Macromol
December 2024
Department of Civil Engineering, National Taiwan University, Taipei 106, Taiwan; Department of Biomedical Engineering, National Taiwan University, Taipei 106, Taiwan. Electronic address:
Collagen plays a crucial role in human bodies and has a significant presence in connective tissues. As such, the impact of collagen mutations can be devastating. Osteogenesis imperfecta (OI), a rare genetic disease affecting 1 in every 15,000 to 20,000 people, is one such example characterized by brittle bones.
View Article and Find Full Text PDFWant AI Summaries of new PubMed Abstracts delivered to your In-box?
Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!