Propagation tree decompositions and linearly independent vertices

被引：0

作者：

Mitchell, Lon ^{[1
]}

机构：

[1] Univ S Florida, St Petersburg, FL 33701 USA

来源：

THEORETICAL COMPUTER SCIENCE | 2021年 / 849卷

关键词：

Propagation tree decompositions; Zero-forcing; OS-sets; Minimum semidefinite rank;

D O I：

10.1016/j.tcs.2020.10.016

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We explore the relationship between propagation tree decompositions of a graph of a given size and the OS-sets of the same size, showing that each can generate the other. We give a short constructive proof that the OS-sets are in bijective correspondence with a subset of the propagation tree decompositions. (C) 2020 Elsevier B.V. All rights reserved.

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页码：159 / 162

页数：4

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