Extremal \((n,n + 1)\)-graphs with respected to zeroth-order general Randić index

DOI10.1007/s10910-006-9131-8zbMath1127.92048OpenAlexW2089239908MaRDI QIDQ2468696

Shu-Bo Chen, Hanyuan Deng

Publication date: 25 January 2008

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

Full work available at URL: https://doi.org/10.1007/s10910-006-9131-8

zbMATH Keywords

extremal graphs

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Applications of graph theory (05C90) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10)

Related Items (17)

Zeroth-order general Randić index of trees with given distance k-domination number ⋮ Sharp bounds for the Zagreb indices of bicyclic graphs with \(k\)-pendant vertices ⋮ Sharp bounds on the zeroth-order general Randić index of unicyclic graphs with given diameter ⋮ Sharp bounds of the zeroth-order general Randić index of bicyclic graphs with given pendent vertices ⋮ On the sum of squares of degrees and products of adjacent degrees ⋮ Sharp bounds on the zeroth-order general randić indices of conjugated bicyclic graphs ⋮ Extremal Zagreb indices of graphs with a given number of cut edges ⋮ Sharp bounds of the Zagreb indices of \(k\)-trees ⋮ Sums of powers of the degrees of graphs with \(k\) cut edges ⋮ The extremal values of some topological indices in bipartite graphs with a given matching number ⋮ On the extremal Zagreb indices of graphs with cut edges ⋮ On the maximum and minimum Zagreb indices of graphs with connectivity at most \(k\) ⋮ On the maximum Zagreb indices of graphs with \(k\) cut vertices ⋮ Sharp bounds for Zagreb indices of maximal outerplanar graphs ⋮ Conjugated tricyclic graphs with the maximum zeroth-order general Randić index ⋮ Sufficient conditions on the zeroth-order general Randić index for maximally edge-connected graphs ⋮ The zeroth-order general Randic index of graphs with a given clique number

Cites Work

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• On unicycle graphs with maximum and minimum zeroth-order general Randić index
• Maximal value of the zeroth-order Randić index
• Unicycle graphs with maximum generalized topological indices
• Series expansion of the directed percolation probability

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