Lu Lu

activity

20162023

most citedThe graphs with exactly two distance eigenvalues different from

- 1

and

- 3

20 citations · 26 across the 13 of their papers we have counts for

collaborators

Showing 2016 · math.COShow all

4 papers · 2 filters

math.CO2016★ 5 cited

Enumeration of cubic Cayley graphs on dihedral groups

Xueyi Huang, Qiongxiang Huang, Lu Lu

Let $p$ be an odd prime, and $D_{2 p} = ⟨ a, b ∣ a^{p} = b^{2} = 1, bab = a^{- 1} ⟩$ the dihedral group of order $2 p$ . In this paper, we completely classify the cubic Cayley graphs on…

math.CO2016

Automorphism groups of a class of cubic Cayley graphs on symmetric groups

Xueyi Huang, Qiongxiang Huang, Lu Lu

Let $S_{n}$ denote the symmetric group of degree $n$ with $n \geq 3$ . Set $S = {c_{n} = (12 \dots n), c_{n}^{- 1}, (12)}$ . Let $Γ_{n} = Cay (S_{n}, S)$ be the Cayley graph on $S_{n}$ with…

math.CO2016★ 20 cited

The graphs with exactly two distance eigenvalues different from $- 1$ and $- 3$

Lu Lu, Qiongxiang Huang, Xueyi Huang

In this paper, we completely characterize the graphs with third largest distance eigenvalue at most $- 1$ and smallest distance eigenvalue at least $- 3$ . In particular, we determine…

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…

Enumeration of cubic Cayley graphs on dihedral groups

Automorphism groups of a class of cubic Cayley graphs on symmetric groups

The graphs with exactly two distance eigenvalues different from −1 and −3

Integral Cayley Graphs over Dihedral Groups

The graphs with exactly two distance eigenvalues different from $- 1$ and $- 3$