Partitions of vertices and facets in trees and stacked simplicial complexes
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Publication:6580497
DOI10.1007/s00373-024-02804-6zbMATH Open1544.05121MaRDI QIDQ6580497
Publication date: 29 July 2024
Published in: Graphs and Combinatorics (Search for Journal in Brave)
Stirling numbersbijectionnatural numberstree partitionindependent verticesstacked simplicial complex
Trees (05C05) Bell and Stirling numbers (11B73) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69) Combinatorial aspects of simplicial complexes (05E45)
Cites Work
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- Extended set partitions with successions
- Set partitions with restrictions
- Reduction of \(m\)-regular noncrossing partitions
- The facet ideal of a simplicial complex
- Bell numbers and \(k\)-trees
- Polarizations of powers of graded maximal ideals
- Simplicial and cellular trees
- Convex Polytopes
- Monomial Ideals
- Triangulations of polygons and stacked simplicial complexes: separating their Stanley-Reisner ideals
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