Planar graphs as minimal resolutions of trivariate monomial ideals

zbMath0989.05026MaRDI QIDQ1597794

Ezra Miller

Publication date: 3 June 2002

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/121888

zbMATH Keywords

free resolutionplanar graphsplanar mapsorder dimension(rigid) geodesic embeddingmonomial idels

Mathematics Subject Classification ID

Discrete geometry (52Cxx) Graph theory (including graph drawing) in computer science (68R10) Combinatorics of partially ordered sets (06A07) Planar graphs; geometric and topological aspects of graph theory (05C10) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items (14)

Betti numbers of monomial ideals in four variables ⋮ The Complexity of the Partial Order Dimension Problem: Closing the Gap ⋮ Face posets of tropical polyhedra and monomial ideals ⋮ Triangle contact representations and duality ⋮ Toroidal maps: Schnyder woods, orthogonal surfaces and straight-line representations ⋮ Orthogonal surfaces and their CP-orders ⋮ Rigid monomial ideals ⋮ Schnyder woods and orthogonal surfaces ⋮ Straight line triangle representations ⋮ On the generalized Scarf complex of lattice ideals ⋮ A conjecture on critical graphs and connections to the persistence of associated primes ⋮ Connections between Theta-Graphs, Delaunay Triangulations, and Orthogonal Surfaces ⋮ Monomial ideals with large projective dimension ⋮ Planar Graphs and the Koszul Algebra Structure for Trivariate Monomial Ideals

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