The evolution of the structure of ABC-minimal trees

DOI10.1016/j.jctb.2021.07.001zbMath1478.05026arXiv1804.02098OpenAlexW3186192875MaRDI QIDQ2664562

Seyyed Aliasghar Hosseini, Bojan Mohar, Mohammad Bagher Ahmadi

Publication date: 17 November 2021

Published in: Journal of Combinatorial Theory. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.02098

zbMATH Keywords

topological indexABC indexmathematical chemistryatom bond connectivity

Mathematics Subject Classification ID

Trees (05C05) Extremal problems in graph theory (05C35) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10) Connectivity (05C40) Graphical indices (Wiener index, Zagreb index, Randi? index, etc.) (05C09) Chemical graph theory (05C92)

Related Items (5)

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 ⋮ Complete characterization of the minimal-ABC trees ⋮ The ABC Index Conundrum's Complete Solution ⋮ Extremal augmented Zagreb index of trees with given numbers of vertices and leaves

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
• 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
• Further results on atom-bond connectivity index of trees
• Atom-bond connectivity index of graphs
• Laplacian energy of a graph
• The extremal values of the Wiener index of a tree with given degree sequence
• Atom-bond connectivity index of trees
• Some forbidden combinations of branches in minimal-ABC trees
• On structural properties of trees with minimal atom-bond connectivity index. III: Trees with pendent paths of length three
• On structural properties of trees with minimal atom-bond connectivity index. IV: solving a conjecture about the pendent paths of length three
• The atom-bond connectivity index of catacondensed polyomino graphs
• The minimal-ABC trees with \(B_2\)-branches
• Computer search for large trees with minimal \(\mathrm{ABC}\) index
• On structural properties of trees with minimal atom-bond connectivity index
• Extremal trees with fixed degree sequence for atom-bond connectivity index
• The ABC index conundrum
• On a family of trees with minimal atom-bond connectivity index

This page was built for publication: The evolution of the structure of ABC-minimal trees