All Questions
Tagged with cayley-graphs spectral-graph-theory
4
questions
18
votes
7
answers
3k
views
Spectral properties of Cayley graphs
Let $G$ be a finite group. Do eigenvalues of its Cayley graph say anything about the algebraic properties of $G$? The spectrum of Cayley graph may depend on the presentation, so it's not a good ...
- 3,271
5
votes
1
answer
139
views
Inertia of a class of Cayley graphs
Let $H^n_2(d)$ be the Cayley graph with vertex set $\{0,1\}^n$ where two strings form an edge iff they have Hamming distance at least $d$. What is the inertia of these graphs, that is, the numbers of ...
- 421
5
votes
0
answers
163
views
(How) does the spectral gap of the $n\times n$ Rubik's cube close with $n$?
Consider the spectrum of the adjacency matrix $A$ of the Cayley graph of the standard, 3x3x3 Rubik's cube generated with the usual quarter-turn and half-turn twists of each face (the Singmaster ...
- 2,133
1
vote
1
answer
158
views
Cayley graphs on $Z_{11}$ and $Z_p$
I want to find all cayley graphs on $Z_{11}$. I know how many connected cayley graphs exist but i want to find all of them, connected or not, to find their eigenvalues. I found some of them and a ...
- 219