On extremality of ABC spectral radius of a tree

DOI10.1016/j.laa.2018.12.003zbMath1405.05099OpenAlexW2904423466WikidataQ128821663 ScholiaQ128821663MaRDI QIDQ1715840

Xiaodan Chen

Publication date: 29 January 2019

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

Full work available at URL: https://doi.org/10.1016/j.laa.2018.12.003

zbMATH Keywords

treeextremalityABC matrixABC spectral radius

Mathematics Subject Classification ID

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

Related Items (10)

Extremal Problems for Graphical Function-Indices and f-Weighted Adjacency Matrix ⋮ A note on the ABC spectral radius of graphs ⋮ On the eigenvalues of Laplacian ABC -matrix of graphs ⋮ On the ABC spectral radius of cactus graphs ⋮ Extremal arithmetic-geometric spectral radius of unicyclic graphs ⋮ Arithmetic-geometric matrix of graphs and its applications ⋮ The first two maximum ABC spectral radii of bicyclic graphs ⋮ Trees with extremal spectral radius of weighted adjacency matrices among trees weighted by degree-based indices ⋮ On large ABC spectral radii of unicyclic graphs ⋮ On the ABC spectra radius of unicyclic graphs

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Maximum atom-bond connectivity index with given graph parameters
• Some upper bounds for the atom-bond connectivity index of graphs
• Which tree has the smallest ABC index among trees with \(k\) leaves?
• The maximum atom-bond connectivity index for graphs with edge-connectivity one
• Further results on atom-bond connectivity index of trees
• On atom-bond connectivity index of connected graphs
• The ABC matrix
• Atom-bond connectivity index of graphs
• Atom-bond connectivity index of trees
• On ABC eigenvalues and ABC energy
• On the ABC index of connected graphs with given degree sequences
• On the maximum ABC index of graphs without pendent vertices
• Remarks on maximum atom-bond connectivity index with given graph parameters
• Some inequalities for the atom-Bond connectivity index of graph operations
• Computer search for trees with minimal ABC index
• On structural properties of trees with minimal atom-bond connectivity index
• The ABC index conundrum
• Ordering trees by their largest eigenvalues
• On a family of trees with minimal atom-bond connectivity index

This page was built for publication: On extremality of ABC spectral radius of a tree