On the first outdegree Zagreb index of a digraph

DOI10.1016/j.disc.2023.113726zbMath1526.05033MaRDI QIDQ6080208

Hilal A. Ganie, Shariefuddin Pirzada

Publication date: 30 October 2023

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

zbMATH Keywords

energydigraphsstrongly connected digraphssignless Laplacian spectral radiusgeneralized adjacency spectral radius

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10) Directed graphs (digraphs), tournaments (05C20) Vertex degrees (05C07) Graphical indices (Wiener index, Zagreb index, Randi? index, etc.) (05C09) Chemical graph theory (05C92)

Cites Work

• Sharp upper bounds on the signless Laplacian spectral radius of strongly connected digraphs
• Upper bound for the trace norm of the Laplacian matrix of a digraph and normally regular digraphs
• An (increasing) sequence of lower bounds for the spectral radius and energy of digraphs
• Maximum first Zagreb index of orientations of unicyclic graphs with given matching number
• Vertex-degree based topological indices of digraphs
• Topological indices of the wreath product of graphs
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