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• W2509555593 abstract "Many combinatorial proofs rely on induction. When these proofs are formulated in traditional language, they can be bulky and unmanageable. Coalgebras provide a language which can reduce reduce many inductive proofs in graded poset theory to comprehensible size. As a bonus, the visual form of the resulting recursive proofs suggests combinatorial interpretations for constants appearing in the longer arguments. We use the techniques of coalgebras to compute invariants of toric and affine arrangements as well as of poset products. In additional chapters we prove structure theorems for acyclic orientations and critical groups of graphs." @default.
• W2509555593 created "2016-09-16" @default.
• W2509555593 creator A5045750965 @default.
• W2509555593 date "2016-08-22" @default.
• W2509555593 modified "2023-09-27" @default.
• W2509555593 title "Homological combinatorics and extensions of the cd-index" @default.
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• W2509555593 hasPublicationYear "2016" @default.
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