On the rooted forests in triangulated closed manifolds

DOI10.1080/03081087.2019.1570066zbMath1451.05254OpenAlexW2911373968WikidataQ114641298 ScholiaQ114641298MaRDI QIDQ5132624

Sajal Kumar Mukherjee

Publication date: 12 November 2020

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2019.1570066

zbMATH Keywords

cyclehomologysimplicial complexforestdiscrete Morse theory

Mathematics Subject Classification ID

Trees (05C05) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc. (57Q10) Combinatorial aspects of simplicial complexes (05E45)

Related Items (1)

On discrete gradient vector fields and Laplacians of simplicial complexes

Cites Work

• Cauchy-Binet for pseudo-determinants
• Directed rooted forests in higher dimension
• Cellular spanning trees and laplacians of cubical complexes
• Morse theory for cell complexes
• A user's guide to discrete Morse theory
• On discrete Morse functions and combinatorial decompositions
• Simplicial matrix-tree theorems
• Computing Optimal Morse Matchings

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