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<p>In this article, we explore the class of graphs for which the projective dimension of the quotient of the binomial edge ideals matches the big height of that ideal. Additionally, we investigate the Vasconcelos number of binomial edge ideals for cycles and crown graphs. We also provide proof for [Dey et al. (Int J Algebra Comput 35:119–143, 2025), Conjecture 4.13] which is related to the Vasconcelos number of binomial edge ideals for cycles.</p>

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Binomial edge ideals of crown graphs

  • 期刊论文

  • 发表日期：

    2025年11月6日

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  • Arvind Kumar,
  • Joshua Pomeroy,
  • Le Tran

摘要

In this article, we explore the class of graphs for which the projective dimension of the quotient of the binomial edge ideals matches the big height of that ideal. Additionally, we investigate the Vasconcelos number of binomial edge ideals for cycles and crown graphs. We also provide proof for [Dey et al. (Int J Algebra Comput 35:119–143, 2025), Conjecture 4.13] which is related to the Vasconcelos number of binomial edge ideals for cycles.