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math.CT2022★ 2 cited
Structured Decompositions: Structural and Algorithmic Compositionality
Benjamin Merlin Bumpus, Zoltan A. Kocsis, Jade Edenstar Master +1
We introduce structured decompositions, category-theoretic structures which simultaneously generalize notions from graph theory (including treewidth, layered treewidth, co-treewidt…
math.CT2021★ 1 cited
Treewidth via Spined Categories (extended abstract)
Zoltan A. Kocsis, Benjamin Merlin Bumpus
Treewidth is a well-known graph invariant with multiple interesting applications in combinatorics. On the practical side, many NP-complete problems are polynomial-time (sometimes e…