New Eliahou Semigroups and Verification of the Wilf Conjecture for Genus up to 65

被引：3

作者：

Bras-Amoros, Maria ^{[1
]}

Rodriguez, Cesar Marim ^{[1
]}

机构：

[1] Univ Rovira & Virgili, Tarragona, Spain

来源：

MODELING DECISIONS FOR ARTIFICIAL INTELLIGENCE (MDAI 2021) | 2021年 / 12898卷

关键词：

NUMERICAL SEMIGROUPS;

D O I：

10.1007/978-3-030-85529-1_2

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

We give a graphical reinterpretation of the seeds algorithm to explore the tree of numerical semigroups. We then exploit the seeds algorithm to find all the Eliahou semigroups of genus up to 65. Since all these semigroups satisfy the Wilf conjecture, this shows that the Wilf conjecture holds up to genus 65.

引用

页码：17 / 27

页数：11

共 6 条

[1] COMPUTATION OF NUMERICAL SEMIGROUPS BY MEANS OF SEEDS [J].