Maxima of the \(A_\alpha\)-index of graphs with given size and domination number

Extremal problems in graph theory (05C35) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69)

Cites Work

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Sharp bounds on the signless Laplacian spectral radii of graphs
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Commutativity and spectra of Hermitian matrices
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Domination number and Laplacian eigenvalue of trees
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Maxima of \(L\)-index and \(Q\)-index: graphs with given size and diameter
Ordering graphs with given size by their signless Laplacian spectral radii
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Maximizing the \(A_\alpha \)-spectral radius of graphs with given size and diameter
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Ordering the maxima of \(L\)-index and \(Q\)-index: graphs with given size and diameter
The signless Laplacian spectral radius of graphs with a prescribed number of edges
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The maximum spectral radius of \(\{C_3, C_5\}\)-free graphs of given size
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Disproof of a conjecture on the minimum spectral radius and the domination number
Maxima of the \(Q\)-spectral radius of \(C_3 (C_4)\)-free graphs with given size and minimum degree \(\delta \geq 2\)
On the \(\alpha\)-index of minimally 2-connected graphs with given order or size
Maximizing the signless Laplacian spectral radius of minimally 3-connected graphs with given size
The minimum spectral radius of graphs with a given domination number

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