Laplacian spectra of regular graph transformations
β Scribed by Aiping Deng; Alexander Kelmans; Juan Meng
- Book ID
- 119225065
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 395 KB
- Volume
- 161
- Category
- Article
- ISSN
- 0166-218X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract A homogeneous graph is a graph togerther with a group that acts transitively on vertices as symmertries of the graph. We consider Laplacians of homogeneous graphs and generalizations of Laplacians whose eigenvalues can be associated with various equilibria of forces in molecules (such a
Given integers n, r and 2, we determine all values of k for which every simple r-regular graph of order n and with edge-connectivity 2 has a k-factor. Using this result we find for k >~ 2 the k-spectra Spk(n ) = {m: there exists a maximal set of m edge-disjoint k-factors of K~} which were introduced