On the Sombor index of trees with degree restrictions
We study the Sombor index of trees with various degree restrictions. In addition to rediscovering that among all trees with a given degree sequence, the greedy tree minimises the Sombor index and the alternating greedy tree maximises it, we also provide a full characterisation of all trees that have...
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| Sprache: | eng |
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| Zusammenfassung: | We study the Sombor index of trees with various degree restrictions. In
addition to rediscovering that among all trees with a given degree sequence,
the greedy tree minimises the Sombor index and the alternating greedy tree
maximises it, we also provide a full characterisation of all trees that have
those maximum or minimum values. Moreover, we compare trees with different
degree sequences and deduce a few corollaries. |
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| DOI: | 10.48550/arxiv.2404.01442 |