On subgraphs without large components

We consider, for a positive integer $k$, induced subgraphs in which each component has order at most $k$. Such a subgraph is said to be $k$-divided. We show that finding large induced subgraphs with this property is NP-complete. We also consider a related graph-coloring problem: how many colors are...

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Bibliographic Details
Main Authors: Glenn G. Chappell, John Gimbel
Format: Article
Language:English
Published: Institute of Mathematics of the Czech Academy of Science 2017-04-01
Series:Mathematica Bohemica
Subjects:
Online Access:http://mb.math.cas.cz/full/142/1/mb142_1_8.pdf