Second Powers of Cover Ideals of Paths  

作　　者：Nursel Erey Ayesha Asloob Qureshi 

机构地区：[1]Departmentof Mathematics,Gebze Technical University Gebze,Kocaeli 41400,Turkey [2]Faculty of Engineering and Natural Sciences,Sabanci University Orta Mahalle,Tuzla 34956,Istanbul,Turkey

出　　处：《Algebra Colloquium》2022年第4期669-686,共18页代数集刊（英文版）

基　　金：supported by the TUBiTAK grant no.118C033.

摘　　要：We show that the second power of the cover ideal of a path graph has linear quotients.To prove our result we construct a recursively defined order on the generators of the ideal which yields linear quotients.Our construction has a natural generalization to the larger class of chordal graphs.This generalization allows us to raise some questions that are related to some open problems about powers of cover ideals of chordal graphs.

关 键 词：cover ideal power of ideals linear quotient path vertex cover 

分 类 号：O15[理学—数学]