The Zagreb indices (ZIs) are important graph invariants that are used extensively in many different fields in mathematics and chemistry, such as network theory, spectral graph theory, fuzzy graph theory (FGT) and molecular chemistry, etc. The hyper-ZI is introduced especially for fuzzy graphs (FGs) in this study. The study computes this index's bounds for a variety of FG types, including paths, cycles, stars, complete FGs and partial fuzzy subgraphs. It is shown that isomorphic FGs produce the same values for this index. Moreover, interesting connections are established between the hyper-ZI and the second ZI for FGs. Moreover, bounds on this index are found for the following operations: direct product, Cartesian product, composition, join, union, strong product and semi-strong product of two FGs. In the end, the effectiveness of this index is compared with three other topological indices: hyper-ZI for crisp graphs, first ZI for FGs and F-index for FGs, in an analysis of the crime "Murder" in India. While the hyper-ZI for FGs, first ZI for FGs and F-index for FGs yield similar outcomes, the hyper-ZI for FGs demonstrates superior realism in detecting crimes in India compared to its crisp graph counterpart.
Download full-text PDF |
Source |
|---|---|
| http://www.ncbi.nlm.nih.gov/pmc/articles/PMC11380185 | PMC |
| http://dx.doi.org/10.1016/j.heliyon.2024.e36110 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
Female Genital Schistosomiasis: Addressing Diagnostic and Programmatic Gaps to Advance Elimination Efforts.
Int J Infect Dis
January 2025
Bridges to Development, Vashon, WA, USA.
This report underscores the critical need to include Female Genital Schistosomiasis (FGS) within schistosomiasis elimination frameworks and sexual and reproductive health programs. Affecting an estimated 40-56 million women, mainly in sub-Saharan Africa, FGS is often underdiagnosed and neglected in public health programs. This paper highlights FGS as a vital gap in schistosomiasis control and comprehensive sexual and reproductive health services, advocating for integrated approaches that address FGS awareness and diagnosis within disease elimination initiatives and health services.
View Article and Find Full Text PDFThe association of physical function and physical performance with DNA methylation clocks in oldest-old living in Singapore - the SG90 cohort.
J Gerontol A Biol Sci Med Sci
January 2025
Healthy Longevity Translational Research Programme, Yong Loo Lin School of Medicine, National University of Singapore, Singapore 117456, Singapore.
Deoxyribonucleic acid (DNA) methylation (DNAm) clocks estimate biological age according to DNA methylation. This study investigated the associations between measures of physical function and physical performance and ten DNAm clocks in the oldest-old in Singapore. The SG90 cohort included a subset of community-dwelling oldest-old from the Singapore Chinese Health Study (SCHS) and Singapore Longitudinal Ageing Study (SLAS).
View Article and Find Full Text PDFAdvances in prostate-specific membrane antigen-targeted theranostics: from radionuclides to near-infrared fluorescence technology.
Front Immunol
January 2025
Department of Urology, National Cancer Center/National Clinical Research Center for Cancer/Cancer Hospital Shenzhen Hospital, Chinese Academy of Medical Sciences and Peking Union Medical College, Shenzhen, China.
Prostate-Specific Membrane Antigen (PSMA) is a highly expressed and structurally unique target specific to prostate cancer (PCa). Diagnostic and therapeutic approaches in nuclear medicine, coupling PSMA ligands with radionuclides, have shown significant clinical success. PSMA-PET/CT effectively identifies tumors and metastatic lymph nodes for imaging purposes, while -PSMA-617 (Pluvicto) has received FDA approval for treating metastatic castration-resistant PCa (mCRPC).
View Article and Find Full Text PDFTargeting EBV Episome for Anti-Cancer Therapy: Emerging Strategies and Challenges.
Viruses
January 2025
Program in Microbiology and Immunology, University of Pittsburgh, Pittsburgh, PA 15219, USA.
As a ubiquitous human pathogen, the Epstein-Barr virus (EBV) has established lifelong persistent infection in about 95% of the adult population. The EBV infection is associated with approximately 200,000 human cancer cases and 140,000 deaths per year. The presence of EBV in tumor cells provides a unique advantage in targeting the viral genome (also known as episome), to develop anti-cancer therapeutics.
View Article and Find Full Text PDFThe optimization and application of photodynamic diagnosis and autofluorescence imaging in tumor diagnosis and guided surgery: current status and future prospects.
Front Oncol
January 2025
The First Clinical College, Gannan Medical University, Ganzhou, Jiangxi, China.
Photodynamic diagnosis (PDD) and autofluorescence imaging (AFI) are emerging cancer diagnostic technologies that offer significant advantages over traditional white-light endoscopy in detecting precancerous lesions and early-stage cancers; moreover, they hold promising potential in fluorescence-guided surgery (FGS) for tumors. However, their shortcomings have somewhat hindered the clinical application of PDD and AFI. Therefore, it is imperative to enhance the efficacy of PDD and AFI, thereby maximizing their potential for practical clinical use.
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!