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A chorded cycle is a cycle with at least one chord. Gould asked in [Graphs Comb. 38 (2022) 189] the question: What spectral conditions imply a graph contains a chorded cycle? For a graph with fixed size, extremal spectral conditions are given to ensu
Externí odkaz:
http://arxiv.org/abs/2405.03229
The process of drawing electoral district boundaries is known as political redistricting. Within this context, gerrymandering is the practice of drawing these boundaries such that they unfairly favor a particular political party, often leading to une
Externí odkaz:
http://arxiv.org/abs/2402.13868
A factor of a graph is a spanning subgraph. Spectral sufficient conditions are provided via spectral radius and signless Laplacian spectral radius for graphs with (i) a matching of given size (particularly, $1$-factor) containing any given edge, and
Externí odkaz:
http://arxiv.org/abs/2401.12984
A graph $G$ is $k$-factor-critical if $G-S$ has a perfect matching for any $k$-subset $S$ of the vertex set of $G$. In this paper, we investigate the factor-criticality of graphs with fixed minimum degree and provide sufficient conditions for such gr
Externí odkaz:
http://arxiv.org/abs/2401.01030
Autor:
Cai, Jin, Pinto, Gerard
Publikováno v:
Studies in Economics and Finance, 2024, Vol. 41, Issue 5, pp. 1191-1205.
Externí odkaz:
http://www.emeraldinsight.com/doi/10.1108/SEF-01-2024-0026
$\operatorname{Holant}^*(f)$ denotes a class of counting problems specified by a constraint function $f$. We prove complexity dichotomy theorems for $\operatorname{Holant}^*(f)$ in two settings: (1) $f$ is any arity-3 real-valued function on input of
Externí odkaz:
http://arxiv.org/abs/2307.16078
Autor:
Cai, Jin-Yi
Publikováno v:
SCIENCE CHINA Information Sciences 2024
We consider Shor's quantum factoring algorithm in the setting of noisy quantum gates. Under a generic model of random noise for (controlled) rotation gates, we prove that the algorithm does not factor integers of the form $pq$ when the noise exceeds
Externí odkaz:
http://arxiv.org/abs/2306.10072
Autor:
Cai, Jin
Doctor of Philosophy
Department of Agronomy
Guihua Bai
Guorong Zhang
Fusarium head blight (FHB) is a devastating fungal disease in wheat, reducing not only grain yield but also quality. The pathogen produces the mycotoxin deoxyniv
Department of Agronomy
Guihua Bai
Guorong Zhang
Fusarium head blight (FHB) is a devastating fungal disease in wheat, reducing not only grain yield but also quality. The pathogen produces the mycotoxin deoxyniv
Externí odkaz:
http://hdl.handle.net/2097/32166