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A categorification for the chromatic polynomial - MaRDI portal

A categorification for the chromatic polynomial (Q2571387)

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A categorification for the chromatic polynomial
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    A categorification for the chromatic polynomial (English)
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    1 November 2005
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    Given a graph, the authors construct a graded chain complex, and from its cohomology develop a formula analogous to the classic deletion-contraction equation for the chromatic polynomial. The work derives from that of \textit{M. Khovanov} [Duke Math J. 101, 359--426 (2000; Zbl 0960.57005)] who constructed a cohomology theory for knots, using the state sum.
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    Khovanov cohomology
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    Euler characteristic
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