All Questions
Tagged with cayley-graphs algebraic-graph-theory
3
questions
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
3
votes
0
answers
69
views
how do I find eigenvalues of Cayley graph for one subset given a different subset
How do I find eigenvalues for the adjacency matrix of Cayley graph $X(S_n,S)$ where $S_n$ is the symmetric group of order $n$ and $S$ is the set of transpositions $(i,i+1)$, if the eigenvalues of the ...
- 31
1
vote
0
answers
117
views
halved and folded hypercube duality
Notation. Consider the group $\Gamma=\mathbb{Z}_2^n$. I will denote the group operation aditively and by $\epsilon_i=(0,\dots,0,1,0,\dots,0)$ I denote the canonical generators. Let's define also $\...
- 201