On the largest \(k\)th eigenvalues of trees

DOI10.1016/0024-3795(93)00236-SzbMath0837.05081MaRDI QIDQ1893111

Jia-yu Shao

Publication date: 13 May 1996

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

eigenvalue of trees

Mathematics Subject Classification ID

Trees (05C05) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items

A note on the Nordhaus-Gaddum type inequality to the second largest eigenvalue of a graph, Sharp upper bounds on the second largest eigenvalues of connected graphs, The proof on the conjecture of extremal graphs for the \(k\)th eigenvalues of trees, On the largest \(k\)th eigenvalues of trees with \(n\equiv 0 \pmod k\)

Cites Work

• Spektren endlicher Grafen
• Bounds on graph eigenvalues
• The kth largest eigenvalue of a tree
• Sharp lower bounds on the eigenvalues of trees
• The second largest eigenvalue of a tree
• Bounds on the \(k\)th eigenvalues of trees and forests