Bounds for the geometric-arithmetic index of unicyclic graphs

DOI10.1007/s12190-023-01864-wzbMath1522.05053arXiv2301.07874MaRDI QIDQ6046864

Seungkook Park, Sunyo Moon

Publication date: 6 October 2023

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.07874

zbMATH Keywords

topological indexunicyclic graphgeometric-arithmetic indexendvertex degrees of edges

Mathematics Subject Classification ID

Paths and cycles (05C38) Vertex degrees (05C07) Graphical indices (Wiener index, Zagreb index, Randi? index, etc.) (05C09)

Cites Work

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• On the first geometric-arithmetic index of graphs
• Topological index based on the ratios of geometrical and arithmetical means of end-vertex degrees of edges
• On the geometric-arithmetic index of a graph
• Relation between geometric-arithmetic and arithmetic-geometric indices
• Unicyclic graphs with extremal values of arithmetic-geometric index
• Upper bound for the geometric-arithmetic index of trees with given domination number
• The geometric-arithmetic index and the chromatic number of connected graphs
• Arithmetic-geometric index and its relations with geometric-arithmetic index
• Graph Classes: A Survey

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