Triangle-Y exchanges on intrinsic knotting of almost complete and complete partite graphs

Yang Li, Jiahu Qin*, Fengchun Lei, Xiangke Wang, Xihai Zhang

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    1 Citation (Scopus)

    Abstract

    Let G be a 0-or 1-deficient graph which is intrinsically knotted, let J represent any graph obtained from G by a finite sequence of δ-Y exchanges and/or vertex expansions. We prove that removing any vertex of J, and all edges incident to that vertex, yields an intrinsically linked graph. This result provides more intrinsically knotted graphs which satisfy the conjecture mentioned in Adams' The Knot Book that removing any vertex from an intrinsically knotted graph yields an intrinsically linked graph.

    Original languageEnglish
    Article number1250034
    JournalJournal of Knot Theory and its Ramifications
    Volume21
    Issue number4
    DOIs
    Publication statusPublished - Apr 2012

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