Author/Authors :
Alikhani, Saeid Yazd University , Jahari, Somayeh Yazd University
Abstract :
LetGbeasimplegraphofordern.Thedominationpoly- nomialofGisthepolynomialD(G,x)=ni=0d(G,i)xi,whered(G,i)isthenumberofdominatingsetsofGofsizei.LetnbeanypositiveintegerandBnbethen-bookgraphs,formedbyjoiningncopiesofthecyclegraphC4withacommonedge.Inthispaper,westudythedominationpolynomialsofsomegeneralizedbookgraphs.Inparticularweexaminethedominationrootsofthesefamilies,andfindthelimitingcurvefortheroots.
