Persistent pairs and connectedness in discrete Morse functions on simplicial complex I

被引：1
|
作者：
Zheng, Chong [1 ]
机构：
[1] Waseda Univ, Fac Sci & Engn, Shinkuju Ku, Tokyo 1698555, Japan
来源：
TOPOLOGY AND ITS APPLICATIONS | 2024年 / 345卷
关键词：
Discrete Morse theory; Strong connection; Homology; Persistent pairs; Euler characteristic;
D O I：
10.1016/j.topol.2024.108844
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study some useful properties of persistent pairs in a discrete Morse function on a simplicial complex K. In case of dim K = 1 (i.e., a graph), by using the properties, we characterize strongly connectedness of critical simplices between two distinct discrete Morse functions, and relate the number of such pairs to the Euler characteristic of K. (c) 2024 Elsevier B.V. All rights reserved.
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页数：14
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