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A broken circuit model for chromatic homology theories

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Using the tools of algebraic Morse theory, and the thin poset approach to constructing homology theories, we give a categorification of Whitney's broken circuit theorem for the chromatic polynomial, and… Click to show full abstract

Using the tools of algebraic Morse theory, and the thin poset approach to constructing homology theories, we give a categorification of Whitney's broken circuit theorem for the chromatic polynomial, and for Stanley's chromatic symmetric function.

Keywords: broken circuit; circuit model; model chromatic; homology theories

Journal Title: European Journal of Combinatorics
Year Published: 2022

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