On the (Laplacian) spectral radius of weighted trees with fixed matching number q and a positive weight set

On the spectral radius of weighted trees

On the spectral radius of weighted trees with fixed diameter and weight set

✍ Shang-wang Tan; Yan-hong Yao 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 222 KB

The spectrum of weighted graphs are often used to solve the problems in the design of networks and electronic circuits. We first give some perturbational results on the spectral radius of weighted graphs when some weights of edges are modified, then we derive the weighted tree with the largest spect