Planar and Plane Slope Number of Partial 2-Trees

Planar and Plane Slope Number of Partial 2-Trees
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部分二叉树的平面和平面斜率数

DOI:
10.1007/978-3-319-03841-4_36
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发表时间:
2013
期刊:
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影响因子:
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通讯作者:
R. Nishat
R. Nishat
中科院分区:
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文献类型:
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作者:
W. Lenhart;G. Liotta;Debajyoti Mondal;R. Nishat

文献摘要

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我们证明了平面和有界度的部分2树的平面斜率数的紧界(直至一个小的乘或加常数)。作为我们技术的副产品,我们回答了Garg和Tamassia关于有界度串并联图的平面直线图的角分辨率的长期问题。
We prove tight bounds (up to a small multiplicative or additive constant) for the plane and the planar slope numbers of partial 2-trees of bounded degree. As a byproduct of our techniques, we answer a long standing question by Garg and Tamassia about the angular resolution of the planar straight-line drawings of series-parallel graphs of bounded degree.