Directed rooted forests in higher dimension

zbMath1353.05131arXiv1512.07757MaRDI QIDQ504966

Olivier Bernardi, Caroline J. Klivans

Publication date: 18 January 2017

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.07757

zbMATH Keywords

simplicial complexesmatrix-tree theorem

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Combinatorial aspects of simplicial complexes (05E45)

Related Items

On the topology of rooted forests in higher dimensions ⋮ On discrete gradient vector fields and Laplacians of simplicial complexes ⋮ Graph coverings and twisted operators ⋮ On the rooted forests in triangulated closed manifolds ⋮ Enumerative combinatorics of simplicial and cell complexes: Kirchhoff and Trent type theorems ⋮ A colourful path to matrix-tree theorems ⋮ The Chow form of a reciprocal linear space ⋮ Kirchhoff index of simplicial networks

Cites Work

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• Cellular spanning trees and laplacians of cubical complexes
• A combinatorial decomposition of acyclic simplicial complexes
• Pseudodeterminants and perfect square spanning tree counts
• Enumeration of \({\mathbb{Q}}\)-acyclic simplicial complexes
• Counting colorful multi-dimensional trees
• A combinatorial decomposition of simplicial complexes
• A user's guide to discrete Morse theory
• On the spanning trees of the hypercube and other products of graphs
• Cuts and flows of cell complexes
• RANDOM COMPLEXES AND ℓ²-BETTI NUMBERS
• Simplicial matrix-tree theorems

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