The bipartite unicyclic graphs with the first \(\lfloor \frac{n - 3}{4} \rfloor\) largest matching energies

DOI10.1016/j.amc.2015.06.115zbMath1410.05119OpenAlexW896555670MaRDI QIDQ668164

Lin Chen, Jinfeng Liu

Publication date: 18 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.06.115

zbMATH Keywords

Coulson integral formulamatching energyquasi-orderbipartite unicyclic graphs

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items (8)

The maximum matching energy of bicyclic graphs with even girth ⋮ Corrigendum to: ``The minimum matching energy of bicyclic graphs with given girth ⋮ On the minimal matching energies of unicyclic graphs ⋮ On ordering of complements of graphs with respect to matching numbers ⋮ On the k-matchings of the complements of bicyclic graphs ⋮ Extremal values of matching energies of one class of graphs ⋮ Further results on the largest matching root of unicyclic graphs ⋮ Extremal matching energy and the largest matching root of complete multipartite graphs

Cites Work

• Extremality of degree-based graph entropies
• Solution to a conjecture on the maximal energy of bipartite bicyclic graphs
• Unicyclic graphs with large energy
• Complete solution to a problem on the maximal energy of unicyclic bipartite graphs
• Complete solution to a conjecture on the maximal energy of unicyclic graphs
• On a relation between the Randić index and the chromatic number
• The matching energy of a graph
• The matching energy of graphs with given parameters
• Connected \((n,m)\)-graphs with minimum and maximum zeroth-order general Randić index
• An introduction to matching polynomials
• The matching energy of random graphs
• Degree distance of unicyclic graphs with given matching number
• Graph Energy
• On a conjecture about tricyclic graphs with maximal energy
• The Maximal Matching Energy of Tricyclic Graphs
• Median eigenvalues of bipartite subcubic graphs
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