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On graphs with three distinct Laplacian eigenvalues

✍ Scribed by Yi Wang; Yizheng Fan; Yingying Tan


Book ID
107500813
Publisher
SP Editorial Committee of Applied Mathematics - A Journal of Chinese Universities
Year
2007
Tongue
English
Weight
136 KB
Volume
22
Category
Article
ISSN
1005-1031

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πŸ“œ SIMILAR VOLUMES


On graphs whose Laplacian matrices have
✍ Shaun M. Fallat; Stephen J. Kirkland; Jason J. Molitierno; M. Neumann πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 120 KB

## Abstract In this paper, we investigate graphs for which the corresponding Laplacian matrix has distinct integer eigenvalues. We define the set __S~i,n~__ to be the set of all integers from 0 to __n__, excluding __i__. If there exists a graph whose Laplacian matrix has this set as its eigenvalues

Bipartite graphs with small third Laplac
✍ Xiao-Dong Zhang πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 420 KB

In this paper, all connected bipartite graphs are characterized whose third largest Laplacian eigenvalue is less than three. Moreover, the result is used to characterize all connected bipartite graphs with exactly two Laplacian eigenvalues not less than three, and all connected line graphs of bipart