Scholarlink

<p>We consider the (up) signless Laplace operator on a simplicial complex <i>X</i> based on the signless differential, which was introduced recently by Kaufman and Oppenheim (2020). We bound the largest eigenvalue of this operator in terms of various combinatorial parameters of the simplicial complex <i>X</i> such as the maximum degree, minimum degree, and average degree of simplexes in <i>X</i>, the dimension and number of simplexes in <i>X</i>, and the diameter of <i>X</i>. Our results also yield algebraic characterizations for the regularity of simplicial complexes.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Bounding the largest eigenvalue of signless Laplace operator on simplicial complexes

  • 期刊论文

  • 发表日期：

    2026年6月18日

查看全文
  • Xiaodan Chen,
  • Yongfang Kou

摘要

We consider the (up) signless Laplace operator on a simplicial complex X based on the signless differential, which was introduced recently by Kaufman and Oppenheim (2020). We bound the largest eigenvalue of this operator in terms of various combinatorial parameters of the simplicial complex X such as the maximum degree, minimum degree, and average degree of simplexes in X, the dimension and number of simplexes in X, and the diameter of X. Our results also yield algebraic characterizations for the regularity of simplicial complexes.