Huaiyin Normal University

output

20082022

most citedTunable double optomechanically induced transparency in an optomechanical system

259 citations

Showing 2011Show all

3 papers · 1 filter

math.CO2011★ 2 cited

Turán's problem and Ramsey numbers for trees

Zhi-Hong Sun, Lin-Lin Wang, Yi-Li Wu

Let $T_{n}^{1} = (V, E_{1})$ and $T_{n}^{2} = (V, E_{2})$ be the trees on $n$ vertices with $V = {v_{0}, v_{1}, \dots, v_{n - 1}}$ , $E_{1} = {v_{0} v_{1}, \dots, v_{0} v_{n - 3}, v_{n - 4} v_{n - 2}, v_{n - 3} v_{n - 1}}$ , and $E_2…

math.CO2011

Ramsey numbers for trees

Zhi-Hong Sun

For $n \geq 5$ let $T_{n}^{'}$ denote the unique tree on $n$ vertices with $Δ (T_{n}^{'}) = n - 2$ , and let $T_{n}^{*} = (V, E)$ be the tree on $n$ vertices with $V = {v_{0}, v_{1}, \dots,$ $v_{n - 1}}$ and $E=\…

math.NT2011★ 3 cited

Generalized Legendre polynomials and related congruences modulo $p^{2}$

Zhi-Hong Sun

For any positive integer $n$ and variables $a$ and $x$ we define the generalized Legendre polynomial $P_n(a,x)=\sum_{k=0}^n\b ak\b{-1-a}k(\frac{1-x}2)^k$. Let $p$ be an odd prime.…

Turán's problem and Ramsey numbers for trees

Ramsey numbers for trees

Generalized Legendre polynomials and related congruences modulo p2

Generalized Legendre polynomials and related congruences modulo $p^{2}$