{"title":"Graph Modelling of Social Internet of Things (S-IoT) centered home automation using medium domination approach","authors":"Aaysha Khan, Jana Shafi","doi":"10.5269/bspm.51446","DOIUrl":null,"url":null,"abstract":"Preceding years predict IoT to be trend in technology domain as it possesses superior intelligence and methods to access data as well able to construct networks anywhere which we are witnessing today. Today IoT devices are well implemented and are a topic and product of interest for many. In midst of this S-IoT emerged which is understood as the added ingredient in IoT networks enables improvement in accessing data, its procession, real-time decisions, and many more new functions and all of this with an ideal price [1]. S-IoT led to the interesting development of enabling the Internet of things to be socially connected in a network with each other which permits them to socially interact with each other and have their respective profiles for their identification all similar to humans. This magical innovation-led internet networks to be more complicated. In this paper, we are modeling objects of S-Iot centered homes as network graphs with a medium domination number approach. The key notion here is to inspect the total number of objects connected that dominate every pair of objects in a network graph and the average value of this is defined as “the medium domination number”. We evaluated new results and relations along with further vulnerability methods and developed an algorithm of complexity O(n 2).","PeriodicalId":44941,"journal":{"name":"Boletim Sociedade Paranaense de Matematica","volume":null,"pages":null},"PeriodicalIF":0.4000,"publicationDate":"2022-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Boletim Sociedade Paranaense de Matematica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5269/bspm.51446","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
Preceding years predict IoT to be trend in technology domain as it possesses superior intelligence and methods to access data as well able to construct networks anywhere which we are witnessing today. Today IoT devices are well implemented and are a topic and product of interest for many. In midst of this S-IoT emerged which is understood as the added ingredient in IoT networks enables improvement in accessing data, its procession, real-time decisions, and many more new functions and all of this with an ideal price [1]. S-IoT led to the interesting development of enabling the Internet of things to be socially connected in a network with each other which permits them to socially interact with each other and have their respective profiles for their identification all similar to humans. This magical innovation-led internet networks to be more complicated. In this paper, we are modeling objects of S-Iot centered homes as network graphs with a medium domination number approach. The key notion here is to inspect the total number of objects connected that dominate every pair of objects in a network graph and the average value of this is defined as “the medium domination number”. We evaluated new results and relations along with further vulnerability methods and developed an algorithm of complexity O(n 2).