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Minimum vertex covers and the spectrum of the normalized Laplacian on trees

✍ Scribed by Hao Chen; Jürgen Jost


Book ID
113772341
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
390 KB
Volume
437
Category
Article
ISSN
0024-3795

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On the characteristic and Laplacian poly
✍ Abbas Heydari; Bijan Taeri 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 232 KB

We find the characteristic polynomials of adjacency and Laplacian matrices of arbitrary unweighted rooted trees in term of vertex degrees, using the concept of the rooted product of graphs. Our result generalizes a result of Rojo and Soto [O. Rojo, R. Soto, The spectra of the adjacency matrix and La