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Extremal Betti numbers of edge ideals

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Abstract

Given integers r and b with \(1 \le b \le r\), a finite simple connected graph G for which \(\mathrm{reg}(S/I(G)) = r\) and the number of extremal Betti numbers of S / I(G) is equal to b will be constructed.

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Authors and Affiliations

  1. Department of Pure and Applied Mathematics Graduate School of Information Science and Technology, Osaka University, Suita, Osaka , 565-0871, Japan

    Takayuki Hibi

  2. Department of Mathematics, Faculty of Science, Shizuoka University, 836 Ohya, Suruga-ku, Shizuoka , 422-8529, Japan

    Kyouko Kimura

  3. Kitami Institute of Technology, Kitami, Hokkaido , 090-8507, Japan

    Kazunori Matsuda

Authors
  1. Takayuki Hibi
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  2. Kyouko Kimura
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  3. Kazunori Matsuda
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Correspondence to Kazunori Matsuda.

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Hibi, T., Kimura, K. & Matsuda, K. Extremal Betti numbers of edge ideals. Arch. Math. 113, 149–155 (2019). https://doi.org/10.1007/s00013-019-01322-9

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  • DOI: https://doi.org/10.1007/s00013-019-01322-9

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