Tanveer Iqbal, Shajar Abbas, Nashwan Adnan Othman, Muhammad Zeeshan Shah, Hammad Saleh M Alotaibi, Mamurakhon Toshpulatova, Hakim AL Garalleh, Ibrahim Mahariq
{"title":"On the reflexive edge irregularity strength in barycentric subdivision of circulant networks","authors":"Tanveer Iqbal, Shajar Abbas, Nashwan Adnan Othman, Muhammad Zeeshan Shah, Hammad Saleh M Alotaibi, Mamurakhon Toshpulatova, Hakim AL Garalleh, Ibrahim Mahariq","doi":"10.1007/s12043-025-03076-2","DOIUrl":null,"url":null,"abstract":"<div><p>Among the various ideas in graph theory, labelling of graphs has diverse applications in cryptography, coding theory, data security, telecommunication networks, etc. Labeling of a graph is any mapping that, under specific circumstances, converts a given collection of graph components to a given set of numbers. In this paper, we determine the exact value of reflexive edge irregularity strength of the barycentric subdivision of circulant graphs <span>\\(C_{p}[1,k_1]\\)</span>.</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"100 2","pages":""},"PeriodicalIF":2.1000,"publicationDate":"2026-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Pramana","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1007/s12043-025-03076-2","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
Among the various ideas in graph theory, labelling of graphs has diverse applications in cryptography, coding theory, data security, telecommunication networks, etc. Labeling of a graph is any mapping that, under specific circumstances, converts a given collection of graph components to a given set of numbers. In this paper, we determine the exact value of reflexive edge irregularity strength of the barycentric subdivision of circulant graphs \(C_{p}[1,k_1]\).
期刊介绍:
Pramana - Journal of Physics is a monthly research journal in English published by the Indian Academy of Sciences in collaboration with Indian National Science Academy and Indian Physics Association. The journal publishes refereed papers covering current research in Physics, both original contributions - research papers, brief reports or rapid communications - and invited reviews. Pramana also publishes special issues devoted to advances in specific areas of Physics and proceedings of select high quality conferences.