Reconstructibility of Graphs with a Large Branch: Permutation Group Theory and Graph Reconstruction

Steven E. Anacker; Andrew J. Woldar

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Reconstructibility of Graphs with a Large Branch: Permutation Group Theory and Graph Reconstruction

机译：大分支图的可重构性：置换群论与图重构

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摘要

Let G be a connected graph having a pendant vertex v such that G - v has pendant vertices in at least two of its branches. Using techniques from permutation group theory, we prove that such a graph G is vertex reconstructible provided it has a branch of large order.

机译：令G为具有垂线顶点v的连通图，以使G-v在其至少两个分支中具有垂线顶点。使用置换群论的技术，我们证明了这种图G在顶点具有大阶分支时是可重构的。

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《Acta Applicandae Mathematicae: An International Journal on Applying Mathematics and Mathematical Applications》 |1998年第0期|共12页
作者
Steven E. Anacker; Andrew J. Woldar;
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原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
vertex-deleted subgraph; branch; branch reconstructible; block;

机译：删除顶点的子图;分支;分支可重构;块;

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1. Reconstructibility of Graphs with a Large Branch: Permutation Group Theory and Graph Reconstruction [J] . Steven E. Anacker, Andrew J. Woldar Acta Applicandae Mathematicae: An International Journal on Applying Mathematics and Mathematical Applications . 1998,第0期

机译：大分支图的可重构性：置换群论与图重构
2. Reconstruction Algorithms for Permutation Graphs and Distance-Hereditary Graphs [J] . Masashi KIYOMI, Toshiki SAITOH, Ryuhei UEHARA IEICE Transactions on Information and Systems . 2013,第3期

机译：置换图和距离遗传图的重构算法
3. Image quality of low mA CT pulmonary angiography reconstructed with model based iterative reconstruction versus standard CT pulmonary angiography reconstructed with filtered back projection: an equivalency trial [J] . Montet Xavier, Hachulla Anne-Lise, Neroladaki Angeliki, European radiology . 2015,第6期

机译：基于模型的迭代重建与通过滤波反投影重建的标准CT肺血管造影重建的低mA CT肺血管造影的图像质量：等效性试验
4. Bipartite Permutation Graphs Are Reconstructible [C] . Masashi Kiyomi, Toshiki Saitoh, Ryuhei Uehara Combinatorial optimization and applications . 2010

机译：二分置换图是可重构的
5. Minimum degree spanning trees on bipartite permutation graphs . [D] . Smith, Jacqueline. 2011

机译：二分置换图上的最小度生成树。
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机译：肢体定位对前交叉韧带重建后数字化重建股外侧X线片对股骨隧道位置的影像学评价的影响
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Reconstructibility of Graphs with a Large Branch: Permutation Group Theory and Graph Reconstruction

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