The ABC matrix
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Publication:683857
DOI10.1007/s10910-016-0725-5zbMath1380.92097OpenAlexW2566254182MaRDI QIDQ683857
Publication date: 9 February 2018
Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)
Full work available at URL: https://strathprints.strath.ac.uk/59523/
Applications of graph theory (05C90) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10)
Related Items (31)
Inverse sum Indeg index and ISI matrix of graphs ⋮ Spectral properties with the difference between topological indices in graphs ⋮ Extremal Graphs for Topological Index Defined by a Degree-Based Edge-Weight Function ⋮ Extremal Problems for Graphical Function-Indices and f-Weighted Adjacency Matrix ⋮ On ABC eigenvalues and ABC energy ⋮ On the spectral radius, energy and Estrada index of the arithmetic–geometric matrix of a graph ⋮ On Generalized Atom-bond Connectivity Index of Cacti ⋮ A note on the ABC spectral radius of graphs ⋮ Statistical-mechanical theory of topological indices ⋮ Bounds on the \(ABC\) spectral radius and \(ABC\) energy of graphs ⋮ On the eigenvalues of Laplacian ABC -matrix of graphs ⋮ Complete characterization of the minimal-ABC trees ⋮ On the ABC spectral radius of cactus graphs ⋮ Extremal trees and unicyclic graphs with respect to spectral radius of weighted adjacency matrices with property \(P^*\) ⋮ Generalized ABC energy of weighted graphs ⋮ The ABC Index Conundrum's Complete Solution ⋮ The minimum exponential atom-bond connectivity energy of trees ⋮ Arithmetic-geometric matrix of graphs and its applications ⋮ On extremality of ABC spectral radius of a tree ⋮ The first two maximum ABC spectral radii of bicyclic graphs ⋮ On ABC Estrada index of graphs ⋮ A solution of the conjecture about big vertices of minimal-ABC trees ⋮ Extremal graphs with respect to generalized ABC index ⋮ The minimum ABC energy of trees ⋮ On large ABC spectral radii of unicyclic graphs ⋮ Degree-based energies of graphs ⋮ Energy of a vertex ⋮ Bounds on the ABC spectral radius of a tree ⋮ On the ABC spectra radius of unicyclic graphs ⋮ Atom–bond connectivity index of graphs: a review over extremal results and bounds ⋮ On the inverse sum indeg energy of trees
Cites Work
- Some upper bounds for the atom-bond connectivity index of graphs
- On atom-bond connectivity index of connected graphs
- Augmented Zagreb index
- Some inequalities for the atom-Bond connectivity index of graph operations
- Computer search for trees with minimal ABC index
- Graph Energy
- Network Properties Revealed through Matrix Functions
- Series expansion of the directed percolation probability
- The ABC index conundrum
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