On atom-bond connectivity index of connected graphs
From MaRDI portal
Publication:642994
DOI10.1016/J.DAM.2011.06.004zbMath1228.05199OpenAlexW2076121179MaRDI QIDQ642994
Rundan Xing, Bo Zhou, Fengming Dong
Publication date: 27 October 2011
Published in: Discrete Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.dam.2011.06.004
extremal graphsunicyclic graphsmaximum degreeatom-bond connectivity indexbicyclic graphspendent vertices
Related Items (38)
On structural properties of trees with minimal atom-bond connectivity index. II: Bounds on \(B_1\)- and \(B_2\)-branches ⋮ Solution to a conjecture on the maximum ABC index of graphs with given chromatic number ⋮ On general \(A B C\)-type index of connected graphs ⋮ Extremal Unicyclic Graphs with Respect to Vertex-Degree-Based Topological Indices ⋮ On ABC eigenvalues and ABC energy ⋮ Maximum values of atom-bond connectivity index in the class of tricyclic graphs ⋮ More ordering on the difference between atom-bond connectivity index and Randić index of binary trees ⋮ Maximum atom-bond connectivity index with given graph parameters ⋮ On Generalized Atom-bond Connectivity Index of Cacti ⋮ The atom-bond connectivity index of chemical bicyclic graphs ⋮ Complete characterization of the minimal-ABC trees ⋮ Some forbidden combinations of branches in minimal-ABC trees ⋮ The ABC Index Conundrum's Complete Solution ⋮ Unnamed Item ⋮ On the ABC index of connected graphs with given degree sequences ⋮ On extremality of ABC spectral radius of a tree ⋮ Computer search for trees with minimal ABC index ⋮ On structural properties of trees with minimal atom-bond connectivity index ⋮ On structural properties of trees with minimal atom-bond connectivity index. III: Trees with pendent paths of length three ⋮ Which tree has the smallest ABC index among trees with \(k\) leaves? ⋮ On the maximum ABC index of graphs without pendent vertices ⋮ On ABC Estrada index of graphs ⋮ The maximum atom-bond connectivity index for graphs with edge-connectivity one ⋮ A solution of the conjecture about big vertices of minimal-ABC trees ⋮ The ABC matrix ⋮ Extremal graphs with respect to generalized ABC index ⋮ Atom-bond connectivity index of quasi-tree graphs ⋮ On large ABC spectral radii of unicyclic graphs ⋮ Remarks on maximum atom-bond connectivity index with given graph parameters ⋮ On structural properties of ABC-minimal chemical trees ⋮ Bounds on the ABC spectral radius of a tree ⋮ Maximum values of atom-bond connectivity index in the class of tetracyclic graphs ⋮ On the ABC spectra radius of unicyclic graphs ⋮ Computer search for large trees with minimal \(\mathrm{ABC}\) index ⋮ Unicyclic and bicyclic graphs with minimal augmented Zagreb index ⋮ On a relation between the atom-bond connectivity and the first geometric-arithmetic indices ⋮ Atom–bond connectivity index of graphs: a review over extremal results and bounds ⋮ On the atom-bond connectivity index and radius of connected graphs
Cites Work
This page was built for publication: On atom-bond connectivity index of connected graphs