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arxiv: cs/0605011 · v2 · pith:MYYPIQPSnew · submitted 2006-05-03 · 💻 cs.DM · math.CO

A Characterization of the Degree Sequences of 2-Trees

classification 💻 cs.DM math.CO
keywords degreecharacterizationsequencestreestreeadjacentalgorithmgiven
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A graph G is a 2-tree if G=K_3, or G has a vertex v of degree 2, whose neighbours are adjacent, and G\v{i}s a 2-tree. A characterization of the degree sequences of 2-trees is given. This characterization yields a linear-time algorithm for recognizing and realizing degree sequences of 2-trees.

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