Chemical trees minimizing energy and Hosoya index

DOI10.1007/s10910-008-9456-6zbMath1182.92071arXiv0804.0516OpenAlexW2016517898MaRDI QIDQ1028037

Clemens Heuberger, Stephan G. Wagner

Publication date: 30 June 2009

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.0516

zbMATH Keywords

matchingsmatching polynomialHosoya indexenergy of graphschemical trees

Mathematics Subject Classification ID

Trees (05C05) Applications of graph theory (05C90) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10)

Related Items (12)

Laplacian coefficient, matching polynomial and incidence energy of trees with described maximum degree ⋮ Consecutive chemical trees with respect to energy of graph ⋮ The Estrada index of chemical trees ⋮ Energy of a polynomial and the Coulson integral formula ⋮ Ordering of Hosoya indices for unicyclic Hückel graphs ⋮ Eccentricity of networks with structural constraints ⋮ Extremal trees with fixed degree sequence ⋮ Graph distance measures based on topological indices revisited ⋮ Extremal problems for trees with given segment sequence ⋮ The minimal randić energy of trees with given diameter ⋮ Unicyclic graphs with large energy ⋮ Some relations on the ordering of trees by minimal energies between subclasses of trees

Cites Work

• On the minimal energy of trees with a given diameter
• Minimum energy on trees with \(k\) pendent vertices
• Unicyclic graphs with given number of pendent vertices and minimal energy
• Positional number systems with digits forming an arithmetic progression
• On acyclic conjugated molecules with minimal energies
• On minimal energy ordering of acyclic conjugated molecules
• Unicyclic Hückel molecular graphs with minimal energy
• On minimal energies of trees of a prescribed diameter
• Maximizing the number of independent subsets over trees with bounded degree
• Unicyclic graphs with minimal energy
• 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
• Unnamed Item

This page was built for publication: Chemical trees minimizing energy and Hosoya index