Lower bounds for the Randi\'c index in terms of matching number

We investigate how small the Randi\'c index of a graph can be in terms of its matching number, and prove several results. We give best-possible linear bounds for graphs of small excess and for subcubic graphs; in the former case the size of excess we permit is qualitatively the best possible. W...

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Hauptverfasser: Akbari, Saieed, Nezhad, Sina Ghasemi, Ghazizadeh, Reyhane, Haslegrave, John, Tohidi, Elahe
Format: Artikel
Sprache:eng
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