A spanning tree model for Khovanov homology

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22 Scopus citations


We show that the Khovanov complex of a connected link diagram D retracts to a subcomplex whose generators are in 2:1 correspondence with the spanning trees of the "black graph" of D. Using this result, we give a new proof of Lee's theorem on the support of Khovanov homology of alternating knots.

Original languageEnglish (US)
Pages (from-to)1561-1574
Number of pages14
JournalJournal of Knot Theory and its Ramifications
Issue number12
StatePublished - Dec 2008
Externally publishedYes


  • Alternating knots
  • Khovanov homology
  • Spanning trees

ASJC Scopus subject areas

  • Algebra and Number Theory


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