3-connected graphs and their degree sequences

Jonathan McLaughlin

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arXiv · 1512.05675

3-connected graphs and their degree sequences

Jonathan McLaughlin

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Abstract

Necessary and sufficient conditions for a sequence of positive integers to be the degree sequence of a 3-connected simple graph are detailed. Conditions are also given under which such a sequence is necessarily 3-connected i.e. the sequence can only be realised as a 3-connected graph. Finally, a matrix is introduced whose non-empty entries partition the set of 3-connected graphs.

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Jonathan McLaughlin. 2015-12-17. 3-connected graphs and their degree sequences. https://arxiv.org/abs/1512.05675

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