## 留言板 ## 2020年 第6期

2020, (6): 1-15. doi: 10.3969/j.issn.1000-5641.201911023

Based on the Fourier transform on the multiplicative group \begin{document}${\mathbb Z}^{\times}(m)$\end{document}, we study a class of trigonometric sums and reveal interesting connections between these sums and number theoretic quantities, such as Gauss sums, the class number of imaginary quadratic fields, and the Bernoulli number.
2020, (6): 16-23. doi: 10.3969/j.issn.1000-5641.201911036

2020, (6): 24-29. doi: 10.3969/j.issn.1000-5641.201911028

\begin{document}$G$\end{document}的一个E-全染色是指使相邻点染以不同颜色且每条关联边与它的端点染以不同颜色的全染色. 对图\begin{document}$G$\end{document}的一个E-全染色\begin{document}$f$\end{document}, 一旦\begin{document}$\forall u, v\in V(G), u\neq v$\end{document}, 就有\begin{document}$C(u)\neq C(v)$\end{document}, 其中\begin{document}$C(x)$\end{document}表示在\begin{document}$f$\end{document}下点\begin{document}$x$\end{document}的颜色以及与\begin{document}$x$\end{document}关联的边的颜色所构成的集合, 则\begin{document}$f$\end{document}称为图\begin{document}$G$\end{document}的点可区别的E-全染色, 简称VDET染色. 令\begin{document}$\chi _{vt}^{e}(G)=\min\{k: G {\text{存在}} k{\text{\rm{-}}}{\rm{VDET}} {\text{染色}}\},$\end{document}\begin{document}$\chi _{vt}^{e}(G)$\end{document}为图\begin{document}$G$\end{document}的点可区别E-全色数. 本文利用反证法、组合分析法及构造具体染色等方法, 讨论并给出了完全二部图\begin{document}$K_{9, n}\; (93\leqslant n\leqslant 216)$\end{document}的点可区别E-全色数.
2020, (6): 30-37. doi: 10.3969/j.issn.1000-5641.201911042

2020, (6): 38-45. doi: 10.3969/j.issn.1000-5641.201911026

2020, (6): 46-51. doi: 10.3969/j.issn.1000-5641.201911021

2020, (6): 52-62. doi: 10.3969/j.issn.1000-5641.201921013

2020, (6): 63-71. doi: 10.3969/j.issn.1000-5641.201921022

2020, (6): 72-81. doi: 10.3969/j.issn.1000-5641.201921019

2020, (6): 82-89. doi: 10.3969/j.issn.1000-5641.201921014

2020, (6): 90-98. doi: 10.3969/j.issn.1000-5641.201921025

2020, (6): 99-104. doi: 10.3969/j.issn.1000-5641.202021002

2020, (6): 105-114. doi: 10.3969/j.issn.1000-5641.201921021

2020, (6): 115-128. doi: 10.3969/j.issn.1000-5641.201921020

2020, (6): 129-139. doi: 10.3969/j.issn.1000-5641.201921017

2020, (6): 140-143. doi: 10.3969/j.issn.1000-5641.201932007

2020, (6): 144-153. doi: 10.3969/j.issn.1000-5641.201931010

2020, (6): 154-163. doi: 10.3969/j.issn.1000-5641.201931011

2020, (6): 164-171. doi: 10.3969/j.issn.1000-5641.201942001
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