A Characterization of the degree sequences of 2‐trees
A Characterization of the degree sequences of 2‐trees
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DOI:
10.1002/jgt.20302
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发表时间:
2006-05
影响因子:
0.9
通讯作者:
P. Bose;V. Dujmovic;D. Krizanc;S. Langerman;Pat Morin;D. Wood;Stefanie Wuhrer
中科院分区:
文献类型:
--
作者:
P. Bose;V. Dujmovic;D. Krizanc;S. Langerman;Pat Morin;D. Wood;Stefanie Wuhrer
A graph G is a 2‐tree if G = K3, or G has a vertex v of degree 2, whose neighbors are adjacent, and G/ v is 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. © 2008 Wiley Periodicals, Inc. J Graph Theory 58:191‐209, 2008