Sharp bounds for the Zagreb indices of bicyclic graphs with \(k\)-pendant vertices

DOI10.1016/j.dam.2010.08.005zbMath1215.05038OpenAlexW2128295548MaRDI QIDQ608279

Qin Zhao, Shuchao Li

Publication date: 25 November 2010

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

Full work available at URL: https://doi.org/10.1016/j.dam.2010.08.005

zbMATH Keywords

Zagreb indexbicyclic graphpendant vertex

Mathematics Subject Classification ID

Vertex degrees (05C07)

Related Items

Sharp upper bounds on Zagreb indices of bicyclic graphs with a given matching number ⋮ On the extremal cacti of given parameters with respect to the difference of Zagreb indices ⋮ Sharp bounds on the zeroth-order general randić indices of conjugated bicyclic graphs ⋮ Graphs with fixed number of pendent vertices and minimal zeroth-order general Randić index ⋮ Sharp bounds on the reduced second Zagreb index of graphs with given number of cut vertices ⋮ On the first and second Zagreb indices of quasi unicyclic graphs

Cites Work

• On the maximum and minimum Zagreb indices of graphs with connectivity at most \(k\)
• On the connectivity index of trees
• On the extremal Zagreb indices of graphs with cut edges
• On the maximum Zagreb indices of graphs with \(k\) cut vertices
• An upper bound on the sum of squares of degrees in a graph
• Maximizing the sum of the squares of the degrees of a graph
• Extremal \((n,n + 1)\)-graphs with respected to zeroth-order general Randić index
• Sharp bounds for the second Zagreb index of unicyclic graphs
• Sums of powers of the degrees of a graph
• Trees of extremal connectivity index
• Minimizer graphs for a class of extremal problems
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