A general modeling of some vertex-degree based topological indices in benzenoid systems and phenylenes

DOI10.1016/j.camwa.2011.03.089zbMath1222.05244OpenAlexW2016485326MaRDI QIDQ640499

Hanyuan Deng, Jianguang Yang, Fang-Li Xia

Publication date: 18 October 2011

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.03.089

zbMATH Keywords

extremal graphgraph invariantbenzenoid systemphenylene

Mathematics Subject Classification ID

Applications of graph theory (05C90) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10)

Related Items (21)

Extremal values of vertex-degree-based topological indices over hexagonal systems with fixed number of vertices ⋮ Extremality of VDB topological indices over f-benzenoids with given order ⋮ Some algebraic polynomials and topological indices of generalized prism and toroidal polyhex networks ⋮ Some computational aspects of boron triangular nanotubes ⋮ Some invariants of Jahangir graphs ⋮ The minimum Kirchhoff index of phenylene chains ⋮ Symmetric Division Deg Index: Extremal Results and Bounds ⋮ Some invariants of flower graph ⋮ Unnamed Item ⋮ Bond incident degree (BID) indices of polyomino chains: a unified approach ⋮ M-Polynomial and topological indices of benzene ring embedded in p-type surface network ⋮ The extremal values of some topological indices in bipartite graphs with a given matching number ⋮ A unified linear-programming modeling of some topological indices ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Topological indices of para-line graphs of V-phenylenic nanostructures ⋮ Tutte polynomials of alternating polycyclic chains ⋮ Splice Graphs and their Vertex-Degree-Based Invariants ⋮ M-polynomials and topological indices of linear chains of benzene, napthalene and anthracene ⋮ Atom–bond connectivity index of graphs: a review over extremal results and bounds ⋮ Extremal phenylene chains with respect to the Mostar index

Cites Work

• Second order Randić index of phenylenes and their corresponding hexagonal squeezes
• Further results on atom-bond connectivity index of trees
• Atom-bond connectivity index of graphs
• The hexagonal chains with the extremal third-order Randić index
• Third order Randić index of phenylenes
• The general connectivity indices of catacondensed hexagonal systems
• On a novel connectivity index
• Topological index based on the ratios of geometrical and arithmetical means of end-vertex degrees of edges
• On general sum-connectivity index
• The Zagreb indices of graphs with a given clique number
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