Semiregular trees with minimal Laplacian spectral radius
✍ Scribed by Türker Bıyıkoğlu; Josef Leydold
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 154 KB
- Volume
- 432
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Let G be a simple undirected graph with the characteristic polynomial of its Laplacian matrix L(G), P(G, µ) = n k=0 (-1) k c k µ n-k . It is well known that for trees the Laplacian coefficient c n-2 is equal to the Wiener index of G, while c n-3 is equal to the modified hyper-Wiener index of the gra
Let G be a graph; its Laplacian matrix is the difference of the diagonal matrix of its vertex degrees and its adjacency matrix. In this paper, we present a sharp upper bound for the Laplacian spectral radius of a tree in terms of the matching number and number of vertices, and deduce from that the l
By the signless Laplacian of a (simple) graph G we mean the matrix , where A(G), D(G) denote respectively the adjacency matrix and the diagonal matrix of vertex degrees of G. It is known that connected graphs G that maximize the signless Laplacian spectral radius ρ(Q (G)) over all connected graphs