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pro vyhledávání: '"Shen, Fu"'
Publikováno v:
Discrete Applied Mathematics 360C (2025) pp. 382-393, published online
In this paper, we introduce saturation and semisaturation functions of sequences, and we prove a number of fundamental results about these functions. Given a forbidden sequence $u$ with $r$ distinct letters, we say that a sequence $s$ on a given alph
Externí odkaz:
http://arxiv.org/abs/2405.06202
Autor:
Geneson, Jesse, Tsai, Shen-Fu
Publikováno v:
Discrete Mathematics 348 (2025) 114303 published online
A 0-1 matrix $M$ contains another 0-1 matrix $P$ if some submatrix of $M$ can be turned into $P$ by changing any number of $1$-entries to $0$-entries. $M$ is $\mathcal{P}$-saturated where $\mathcal{P}$ is a family of 0-1 matrices if $M$ avoids every
Externí odkaz:
http://arxiv.org/abs/2306.11934
Autor:
Geneson, Jesse, Tsai, Shen-Fu
We investigate random processes for generating task-dependency graphs of order $n$ with $m$ edges and a specified number of initial vertices and terminal vertices. In order to do so, we consider two random processes for generating task-dependency gra
Externí odkaz:
http://arxiv.org/abs/2305.05205
Many applications, ranging from natural to social sciences, rely on graphlet analysis for the intuitive and meaningful characterization of networks employing micro-level structures as building blocks. However, it has not been thoroughly explored in h
Externí odkaz:
http://arxiv.org/abs/2304.14268
Publikováno v:
Shanghai Jiaotong Daxue xuebao, Vol 58, Iss 6, Pp 916-925 (2024)
This paper proposes a two-layer optimal control strategy for the park power grid, aiming at addressing the energy management challenges arising from the fluctuations in the output of clean energy sources and the random changes in the number of electr
Externí odkaz:
https://doaj.org/article/44417bcc56624981a1e1113f4a322000
Autor:
Tsai, Shen-Fu
A 0-1 matrix $M$ is saturating for a 0-1 matrix $P$ if $M$ does not contain a submatrix that can be turned into $P$ by flipping any number of its $1$-entries to $0$-entries, and changing any $0$-entry to $1$-entry of $M$ introduces a copy of $P$. Mat
Externí odkaz:
http://arxiv.org/abs/2208.12682
Publikováno v:
In Discrete Applied Mathematics 15 January 2025 360:382-393
Publikováno v:
Discover Nano, Vol 19, Iss 1, Pp 1-10 (2024)
Abstract The colorimetric detection of glucose typically involves a peroxidase reaction producing a color, which is then recorded and analyzed. However, enzyme detection has difficulties with purification and storage. In addition, replacing enzyme de
Externí odkaz:
https://doaj.org/article/942e8a4c1baf4c70a2f6090631b95c4e