Bounded powers of edge ideals: symmetric exchange binomials

Takayuki Hibi; Seyed Amin Seyed Fakhari

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arXiv · 2507.11815

Bounded powers of edge ideals: symmetric exchange binomials

Takayuki Hibi·Seyed Amin Seyed Fakhari

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Abstract

It has been conjectured that the toric ideal of the base ring of a discrete polymatroid is generated by symmetric exchange binomials. In the present paper, we give several classes of discrete polymatroids which yield toric ideals generated by symmetric exchange binomials. Especially, we are interested in the discrete polymatroids arising from bounded powers of edge ideals of finite graphs.

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Takayuki Hibi, Seyed Amin Seyed Fakhari. 2025-07-16. Bounded powers of edge ideals: symmetric exchange binomials. https://arxiv.org/abs/2507.11815

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