The Zagreb indices of graphs with a given clique number

DOI10.1016/j.aml.2011.01.034zbMath1216.05041OpenAlexW2025480382MaRDI QIDQ2430071

Kexiang Xu

Publication date: 5 April 2011

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

Full work available at URL: https://doi.org/10.1016/j.aml.2011.01.034

zbMATH Keywords

chromatic numberclique numberZagreb index

Mathematics Subject Classification ID

Related Items (20)

The first and the second Zagreb indices of the generalized Mycielskian of graphs ⋮ Extremal values on Zagreb indices of trees with given distance \(k\)-domination number ⋮ On the reduced second Zagreb index of graphs ⋮ On the reciprocal degree distance of graphs ⋮ On the sum of squares of degrees and products of adjacent degrees ⋮ A general modeling of some vertex-degree based topological indices in benzenoid systems and phenylenes ⋮ Extremal Zagreb indices of graphs with a given number of cut edges ⋮ Sharp bounds of the Zagreb indices of \(k\)-trees ⋮ Comparing the Zagreb indices of the NEPS of graphs ⋮ The Zagreb indices of four operations on graphs ⋮ The Zagreb indices of graphs based on four new operations related to the lexicographic product ⋮ Unnamed Item ⋮ A formula with its applications on the difference of Zagreb indices of graphs ⋮ On the first and second Zagreb indices of quasi unicyclic graphs ⋮ Comparison and extremal results on three eccentricity-based invariants of graphs ⋮ Extremal tetracyclic graphs with respect to the first and second Zagreb indices ⋮ The zeroth-order general Randic index of graphs with a given clique number ⋮ On reduced second Zagreb index ⋮ Weighted Harary indices of apex trees and \(k\)-apex trees ⋮ Zagreb indices of graphs

Cites Work

• On the maximum and minimum Zagreb indices of graphs with connectivity at most \(k\)
• Maximum Zagreb index, minimum hyper-Wiener index and graph connectivity
• Maximizing the sum of the squares of the degrees of a graph
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