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Results tagged with spectral-graph-theory
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user 18606
Questions related to the spectrum of graphs, defined using one of the possible variants of the discrete Laplace operator or Laplacian matrix. See https://en.wikipedia.org/wiki/Discrete_Laplace_operator
4
votes
1
answer
89
views
Strongly/distance regular graphs over $\mathbb{Z}_2^n$ with the same parameters
I am wondering if there is a known example of a pair of non-isomorphic graphs $G$ and $H$ that are both Cayley graphs for $\mathbb{Z}_2^n$ (for some $n$) and are both distance regular and have the sam …
- 2,339
6
votes
1
answer
558
views
Eigenvalue inequality for regular graphs
I recently proved an inequality relating some of the eigenvalues of a regular graph with each other, and I was wondering if it is already known. I was unable to find it online, and a quick skim throug …
- 2,339
10
votes
0
answers
225
views
Cospectral mate of rhombic dodecahedron
I am wondering if the following pair of cospectral graphs was previously known.
The rhombic dodecahedron graph looks like this (graph6 string: 'M?????rrAiTOd_YO?'):
As far as I know, it was previously …
- 2,339