Atom–bond connectivity index of graphs: a review over extremal results and bounds
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Publication:5862686
DOI10.47443/dml.2020.0069zbMath1499.05108OpenAlexW4233644174MaRDI QIDQ5862686
Darko Dimitrov, Akbar Ali, Boris Furtula, Kinkar Chandra Das
Publication date: 9 March 2022
Published in: Discrete Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.47443/dml.2020.0069
Extremal problems in graph theory (05C35) Graphical indices (Wiener index, Zagreb index, Randi? index, etc.) (05C09) Chemical graph theory (05C92)
Related Items (10)
Maximum Atom-Bond Sum-Connectivity Index of n-Order Trees With Fixed Number of Leaves ⋮ On general \(A B C\)-type index of connected graphs ⋮ On bond incident degree index of chemical trees with a fixed order and a fixed number of leaves ⋮ Smallest ABS index of unicyclic graphs with given girth ⋮ Unnamed Item ⋮ Symmetric Division Deg Index: Extremal Results and Bounds ⋮ On degree-based topological indices of random polyomino chains ⋮ Sharp inequalities for the atom-bond (sum) connectivity index ⋮ Unnamed Item ⋮ Atom-bond sum-connectivity index
Uses Software
Cites Work
- On the atom-bond connectivity index and radius of connected graphs
- On structural properties of trees with minimal atom-bond connectivity index. II: Bounds on \(B_1\)- and \(B_2\)-branches
- Efficient computation of trees with minimal atom-bond connectivity index
- Degree-based topological indices: optimal trees with given number of pendents
- Extremal values of vertex-degree-based topological indices over hexagonal systems with fixed number of vertices
- 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?
- A unified linear-programming modeling of some topological indices
- The maximum atom-bond connectivity index for graphs with edge-connectivity one
- On the minimal ABC index of trees with \(k\) leaves
- Further results on atom-bond connectivity index of trees
- Randić index and the diameter of a graph
- A general modeling of some vertex-degree based topological indices in benzenoid systems and phenylenes
- On atom-bond connectivity index of connected graphs
- The ABC matrix
- Atom-bond connectivity index of graphs
- The harmonic index of some graphs
- Maximum values of atom-bond connectivity index in the class of tetracyclic graphs
- The Laplacian spectral radii of trees with degree sequences
- Atom-bond connectivity index of trees
- Graphs with given degree sequence and maximal spectral radius
- On a novel connectivity index
- Topological index based on the ratios of geometrical and arithmetical means of end-vertex degrees of edges
- Solution to a conjecture on the maximum ABC index of graphs with given chromatic number
- On ABC eigenvalues and ABC energy
- On average eccentricity of graphs
- Some forbidden combinations of branches in minimal-ABC trees
- On the ABC index of connected graphs with given degree sequences
- Extremal graphs for vertex-degree-based invariants with given degree sequences
- On structural properties of trees with minimal atom-bond connectivity index. III: Trees with pendent paths of length three
- Bond incident degree (BID) indices of polyomino chains: a unified approach
- Bounds for the augmented Zagreb and the atom-bond connectivity indices
- Remarks on the Graovac-Ghorbani index of bipartite graphs
- Note on extremal graphs with given matching number
- On structural properties of trees with minimal atom-bond connectivity index. IV: solving a conjecture about the pendent paths of length three
- On the maximum ABC index of graphs without pendent vertices
- Extremal graphs with respect to generalized ABC index
- Remarks on maximum atom-bond connectivity index with given graph parameters
- On topological indices of graph transformation
- Further inequalities between vertex-degree-based topological indices
- The atom-bond connectivity index of chemical bicyclic graphs
- The atom-bond connectivity index of catacondensed polyomino graphs
- Augmented Zagreb index
- The minimal-ABC trees with \(B_2\)-branches
- Bond incident degree indices of catacondensed pentagonal systems
- A solution of the conjecture about big vertices of minimal-ABC trees
- Atom-bond connectivity index of quasi-tree graphs
- Some inequalities for the atom-Bond connectivity index of graph operations
- Correction to: ``Bounds for the augmented Zagreb and the atom-bond connectivity indices
- On structural properties of ABC-minimal chemical trees
- On atom-bond connectivity index of graphs
- Computer search for large trees with minimal \(\mathrm{ABC}\) index
- Vertex-degree-based topological indices over starlike trees
- On a relation between the atom-bond connectivity and the first geometric-arithmetic indices
- Extremal values of vertex-degree-based topological indices over graphs
- On structural properties of trees with minimal atom-bond connectivity index
- Maximum values of atom-bond connectivity index in the class of tricyclic graphs
- On the maximal general ABC index of graphs with given maximum degree
- Extremal trees with fixed degree sequence for atom-bond connectivity index
- On atom-bond connectivity index
- On the Atom-Bond Connectivity index of cacti
- Topological indices of Kragujevac trees
- EXTREMAL ATOM-BOND CONNECTIVITY INDEX OF CACTUS GRAPHS
- Series expansion of the directed percolation probability
- Extremal Triangular Chain Graphs for Bond Incident Degree (BID) Indices
- On Generalized Atom-bond Connectivity Index of Cacti
- The structure of ABC-minimal trees with given number of leaves
- The ABC index conundrum
- More on comparison between first geometric-arithmetic index and atom-bond connectivity index
- On a family of trees with minimal atom-bond connectivity index
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