On γ- and local γ-vectors of the interval subdivision

被引：0

作者：

Anwar, Imran ^{[1
,2
]}

Nazir, Shaheen ^{[3
]}

机构：

[1] Govt Coll Univ, Abdus Salam Sch Math Sci, Lahore, Pakistan

[2] Natl Ctr Math, Lahore, Pakistan

[3] Lahore Univ Management Sci, Dept Math, Lahore, Pakistan

来源：

JOURNAL OF ALGEBRAIC COMBINATORICS | 2021年 / 53卷 / 03期

关键词：

Simplicial complex; Subdivision of a simplicial complex; gamma-vector; Local gamma-vector; Balanced complex;

D O I：

10.1007/s10801-020-00937-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the gamma-vector of the interval subdivision of a simplicial complex with a nonnegative and symmetric h-vector is nonnegative. In particular, we prove that such gamma-vector is the f-vector of some balanced simplicial complex. Moreover, we show that the local gamma-vector of the interval subdivision of a simplex is nonnegative; answering a question by Juhnke-Kubitzke et al.

引用

页码：677 / 699

页数：23

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