2017/08/02 by de Alba, Hernán, Hoang, Do Trong
#Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics
paper · doi:10.48550/arxiv.1708.00844
We study the equality of the extremal Betti numbers of the binomial edge ideal JG and those of its initial ideal \rm in(JG) of a closed graph G. We prove that in some cases there is an unique extremal Betti number for \rm in(JG) and as a consequence there is an unique extremal Betti number for JG and these extremal Betti numbers are equal