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   Sums of Polynomials and Clique Roots  
   
نویسنده Teimoori Faal Hossein
منبع كنفرانس نظريه گراف و تركيبيات جبري - 2020 - دوره : 11 - یازدهمین کنفرانس بین المللی نظریه گراف و ترکیبیات جبری ایران - کد همایش: 9919164009 - صفحه:60 -63
چکیده    In this paper, we first introduce a key lemma which indicates a necessary condition for having areal root for sums of polynomials with (at least) one real root. then, as an immediate application ofthis simple but potentially useful lemma we characterize several classes of graphs which have only cliqueroots. finally, we conclude our paper with several interesting open problems and conjectures for interestedreaders.
کلیدواژه Sums Of Polynomials ,Clique Polynomials ,Clique Roots ,Chordal Graphs.
آدرس Allameh Tabataba’I University, Allameh Tabataba’I University, Mathematics, Iran
پست الکترونیکی hossein.teimoori@atu.ac.ir
 
     
   
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