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arXiv · 2312.14298

Well-forced graphs

Cheryl Grood·Ruth Haas·Bonnie Jacob·Erika King·Shahla Nasserasr
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Abstract

A graph in which all minimal zero forcing sets are in fact minimum size is called ``well-forced." This paper characterizes well-forced trees and presents an algorithm for determining which trees are well-forced. Additionally, we characterize which vertices in a tree are contained in no minimal zero forcing set.

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Cheryl Grood, Ruth Haas, Bonnie Jacob, Erika King, Shahla Nasserasr. 2023-12-21. Well-forced graphs. https://arxiv.org/abs/2312.14298

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