Hilbert-Poincaré series of parity binomial edge ideals and permanental ideals of complete graph
英文摘要:
We give an explicit formula for the Hilbert-Poincaré series of the parity binomial edge ideal of a complete graph $K_{n}$ or equivalently for the ideal generated by all $2\times 2$-permanents of a $2\times n$-matrix. It follows that the depth and Castelnuovo-Mumford regularity of these ideals are independent of $n$.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。