Issue |
Wuhan Univ. J. Nat. Sci.
Volume 27, Number 4, August 2022
|
|
---|---|---|
Page(s) | 303 - 312 | |
DOI | https://doi.org/10.1051/wujns/2022274303 | |
Published online | 26 September 2022 |
Mathematics
CLC number: O 189.22
Discrete Morse Theory on Join of Digraphs
1
Department of Mathematics and Statistics, Cangzhou Normal University, Cangzhou 061000, Hebei, China
2
School of Sciences, Hebei University of Science and Technology, Shijiazhuang 050018, Hebei, China
3
Department of Physics and Information Engineering, Cangzhou Normal University, Cangzhou 061000, Hebei, China
† To whom correspondence should be addressed. E-mail: wangchong_618@163.com
Received:
25
March
2022
For given two digraphs, we can construct a larger digraph through join. The two digraphs that make up the join are called the factors of the join. In this paper, we give a necessary and sufficient condition that the function on the join determined by the discrete Morse functions on factors is a discrete Morse function. Moreover, we further prove the discrete Morse theory on join when the factors satisfy certain conditions.
Key words: path homology / transitive closure / digraph / join
Biography: WANG Chong, female, Associate professor, research direction: geometry and topology on graphs. E-mail: wangchong_618@163.com
Fundation item: Supported by the Science and Technology Project of Hebei Education Department (ZD2022168, ZD2020410), Project of Cangzhou Normal University (XNJJLYB2021006)
© Wuhan University 2022
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