Lu Lu

collaborators

2 papers

math.CO2017

Graphs with at most three distance eigenvalues different from $- 1$ and $- 2$

Xueyi Huang, Qiongxiang Huang, Lu Lu

Let $G$ be a connected graph on $n$ vertices, and let $D (G)$ be the distance matrix of $G$ . Let $\partial_{1} (G) \geq \partial_{2} (G) \geq \dots \geq \partial_{n} (G)$ denote the eigenvalues of $…

math.CO2016

Integral Cayley Graphs over Dihedral Groups

Lu Lu, Qiongxiang Huang, Xueyi Huang

In this paper, we give a necessary and sufficient condition for the integrality of Cayley graphs over the dihedral group $D_{n} = ⟨ a, b ∣ a^{n} = b^{2} = 1, bab = a^{- 1} ⟩$ . Moreover…

Graphs with at most three distance eigenvalues different from −1 and −2

Integral Cayley Graphs over Dihedral Groups

Graphs with at most three distance eigenvalues different from $- 1$ and $- 2$