Partitioning into graphs with only small components

Noga Alon, Guoli Ding, Bogdan Oporowski*, Dirk Vertigan

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

70 Scopus citations

Abstract

The paper presents several results on edge partitions and vertex partitions of graphs into graphs with bounded size components. We show that every graph of bounded tree-width and bounded maximum degree admits such partitions. We also show that an arbitrary graph of maximum degree four has a vertex partition into two graphs, each of which has components on at most 57 vertices. Some generalizations of the last result are also discussed.

Original languageEnglish
Pages (from-to)231-243
Number of pages13
JournalJournal of Combinatorial Theory. Series B
Volume87
Issue number2
DOIs
StatePublished - Mar 2003

Funding

FundersFunder number
Directorate for Mathematical and Physical Sciences9400946

    Keywords

    • Edge partitions
    • Small components
    • Tree-width
    • Vertex partitions

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