A tree is called double starlike if it has exactly two vertices of degree greater than 2. We denote by H n (p, p) (n β₯ 2, p β₯ 1) one special double starlike graph. In this work, graph H n (p, p) will be proved to be determined by its Laplacian spectrum.
Starlike trees are determined by their Laplacian spectrum
β Scribed by G.R. Omidi; K. Tajbakhsh
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 103 KB
- Volume
- 422
- Category
- Article
- ISSN
- 0024-3795
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β¦ Synopsis
In this paper, we show that if G is a starlike tree, then it is determined by its Laplacian spectrum. Moreover we prove some facts about trees with the same adjacency spectrum as a starlike tree.
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