Mohammed Authman, Husam Q. Mohammad, Nazar H. Shuker
{"title":"Vertex and region colorings of planar idempotent divisor graphs of commutative rings.","authors":"Mohammed Authman, Husam Q. Mohammad, Nazar H. Shuker","doi":"10.52866/ijcsm.2022.01.01.008","DOIUrl":"https://doi.org/10.52866/ijcsm.2022.01.01.008","url":null,"abstract":"The idempotent divisor graph of a commutative ring R is a graph with vertices set in R* = R-{0}, and any distinct vertices x and y are adjacent if and only if x.y = e, for some non-unit idempotent element e2 = e ϵ R, and is denoted by Л(R). The purpose of this work is using some properties of ring theory and graph theory to find the clique number, the chromatic number and the region chromatic number for every planar idempotent divisor graphs of commutative rings. Also we show the clique number is equal to the chromatic number for any planar idempotent divisor graph. Among other results we prove that: Let Fq, Fpa are fieldes of orders q and pa respectively, where q=2 or 3, p is a prime number and a Is a positive integer. If a ring R @ Fq x Fpa . Then (Л(R))= (Л(R)) = *( Л(R)) = 3.","PeriodicalId":158721,"journal":{"name":"Iraqi Journal for Computer Science and Mathematics","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121947143","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
I. Al-Barazanchi, Yi-Ning Niu, Haider Rasheed Abdulshaheed, W. Hashim, Ammar Ahmed Alkahtani, Elika daghighi, Zahraa A. Jaaz, Shihab A. Shawkat, Hafiz Tayyab Rauf
{"title":"Proposed New Framework Scheme for Path Loss in Wireless Body\u0000Area Network","authors":"I. Al-Barazanchi, Yi-Ning Niu, Haider Rasheed Abdulshaheed, W. Hashim, Ammar Ahmed Alkahtani, Elika daghighi, Zahraa A. Jaaz, Shihab A. Shawkat, Hafiz Tayyab Rauf","doi":"10.52866/ijcsm.2022.01.01.002","DOIUrl":"https://doi.org/10.52866/ijcsm.2022.01.01.002","url":null,"abstract":"Recent technical developments in wi-fi networking, microelectronic integration and programming,\u0000sensors and the Internet have enabled us to create and enforce a range of new framework schemes to fulfil the\u0000necessities of healthcare-related wireless body area network (WBAN). WBAN sensors continually screen and\u0000measure patients’ indispensable signs and symptoms, and relay them to scientific monitoring for diagnosis. WBAN\u0000has a range of applications, the most necessary of which is to help patients suffering diseases to stay alive. The quality\u0000instance is the coronary heart implant sensor, whose video display unit monitors coronary heart sign and continuously\u0000transmits it. This setup eliminates the need for patients to visit the medical doctor frequently. Instead, they can take\u0000a seat at home and acquire an analysis and prescription for the disease. Today, a sizable effort is being made to\u0000increase low-power sensors and gadgets for utility in WBAN. A new framework scheme that addresses route loss in\u0000WBAN and discusses its penalties in depth is endorsed in this paper. The new framework scheme is applied to three\u0000case scenarios to obtain parameters by measuring vital information about the human body. On-body and intrabody\u0000conversation simulations are conducted. On-body conversation findings show that the route loss between transmitter\u0000and receiver rises with growing distance and frequency","PeriodicalId":158721,"journal":{"name":"Iraqi Journal for Computer Science and Mathematics","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133650385","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}