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A Characterization of the Degree Sequences of 2-Trees

Prosenjit Bose·Vida Dujmović·Danny Krizanc·Stefan Langerman·Pat Morin·David R. Wood·Stefanie Wuhrer
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Abstract

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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Prosenjit Bose, Vida Dujmović, Danny Krizanc, Stefan Langerman, Pat Morin, David R. Wood, Stefanie Wuhrer. 2006-05-03. A Characterization of the Degree Sequences of 2-Trees. https://doi.org/10.1002/jgt.20302

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