Maximum Estrada index of bicyclic graphs

DOI10.1016/j.dam.2014.08.010zbMath1303.05121arXiv1204.3686OpenAlexW2061067020MaRDI QIDQ476327

Yi-Zheng Fan, Long Wang, Yi Wang

Publication date: 28 November 2014

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.3686

zbMATH Keywords

eigenvaluesEstrada indexbicyclic graphs

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Applications of graph theory (05C90) Paths and cycles (05C38) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10)

Related Items (11)

The many facets of the Estrada indices of graphs and networks ⋮ Maximum resistance-Harary index of cacti ⋮ On extremal bipartite bicyclic graphs ⋮ Some extremal properties of the resolvent energy, Estrada and resolvent Estrada indices of graphs ⋮ On the signless Laplacian Estrada index of bicyclic graphs ⋮ More on the Estrada indices of trees ⋮ Tetracyclic graphs with maximal Estrada index ⋮ On the signless Laplacian Estrada index of cacti ⋮ Extremal Estrada indices of the weighted trees with fixed total weight sum ⋮ On maximum signless Laplacian Estrada indices of \(k\)-trees ⋮ Maximum Detour-Harary index for some graph classes

Cites Work

• The Estrada index of unicyclic graphs
• The Estrada index of trees
• On the Estrada and Laplacian Estrada indices of graphs
• On Estrada index of trees
• The Estrada index of chemical trees
• Estimating the Estrada index
• On the Estrada index of graphs with given number of cut edges
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