Polynomial time recognition of vertices contained in all (or no) maximum dissociation sets of a tree

In a graph $ G $, a dissociation set is a subset of vertices which induces a subgraph with vertex degree at most 1. Finding a dissociation set of maximum cardinality in a graph is NP-hard even for bipartite graphs and is called the maximum dissociation set problem. The complexity of the maximum diss...

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Bibliographic Details
Main Authors: Jianhua Tu, Lei Zhang, Junfeng Du, Rongling Lang
Format: Article
Language:English
Published: AIMS Press 2022-01-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2022036?viewType=HTML