2013/09/04 by Yi-Huang Shen, Shen, Yi-Huang
Computer Science · Mathematics · #05C38 #05C65 #13A02 #13A30 #Algebraic Geometry and Number Theory #Combinatorics (math.CO) #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation
paper · pdf · doi:10.48550/arxiv.1309.1072
openalex publication_date 2013/09/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In a recent work, Fouli and Lin generalized a Villarreal's result and showed that if each connected components of the line graph of a squarefree monomial ideal contains at most a unique odd cycle, then this ideal is of linear type. In this short note, we reprove this result with Villarreal's original ideas together with a method of Conca and De Negri. We also propose a class of squarefree monomial ideals of linear type.