Simplicial and cellular trees

DOI10.1007/978-3-319-24298-9_28zbMath1354.05151arXiv1506.06819OpenAlexW1795840257MaRDI QIDQ2957200

Jeremy L. Martin, Art M. Duval, Caroline J. Klivans

Publication date: 25 January 2017

Published in: Recent Trends in Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.06819

zbMATH Keywords

treesimplicial complexspanning treecritical groupmatroidcombinatorial Laplacianforestmatrix-tree theoremcell complex

Mathematics Subject Classification ID

Trees (05C05) Enumeration in graph theory (05C30) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Combinatorial aspects of matroids and geometric lattices (05B35) Relations of low-dimensional topology with graph theory (57M15) Simplicial sets and complexes in algebraic topology (55U10) Combinatorial aspects of simplicial complexes (05E45)

Related Items (14)

A higher-dimensional homologically persistent skeleton ⋮ Increasing spanning forests in graphs and simplicial complexes ⋮ Simplicial dollar game ⋮ A higher Boltzmann distribution ⋮ Canonical sphere bases for simplicial and cubical complexes ⋮ On the topology of no \(k\)-equal spaces ⋮ On discrete gradient vector fields and Laplacians of simplicial complexes ⋮ Enumerative combinatorics of simplicial and cell complexes: Kirchhoff and Trent type theorems ⋮ A colourful path to matrix-tree theorems ⋮ Products of arithmetic matroids and quasipolynomial invariants of CW-complexes ⋮ A weighted cellular matrix-tree theorem, with applications to complete colorful and cubical complexes ⋮ High-dimensional networks and spanning forests ⋮ The theta number of simplicial complexes ⋮ Cohen–Lenstra Heuristics for Torsion in Homology of Random Complexes

This page was built for publication: Simplicial and cellular trees