Number of maximal 2-component independent sets in forests

Let $ G = (V(G), E(G)) $ be a graph. For a positive integer $ k $, we call $ S\subseteq V(G) $ a $ k $-component independent set of $ G $ if each component of $ G[S] $ has order at most $ k $. Moreover, $ S $ is maximal if there does not exist a $ k $-component independent set $ S' $ of $ G $ s...

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Bibliographic Details
Main Authors: Shuting Cheng, Baoyindureng Wu
Format: Article
Language:English
Published: AIMS Press 2022-05-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2022748?viewType=HTML