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A combinatorial decomposition of simplicial complexes

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/sapm1975542135openalex-snapshot
The Upper Bound Conjecture and Cohen‐Macaulay Rings
inferredcites →https://doi.org/10.1007/978-0-8176-4842-8_27openalex-snapshot
A Theorem of Finite Sets
inferredcites →https://doi.org/10.1007/978-94-010-1220-1_3openalex-snapshot
Cohen-Macaulay Complexes
inferredcites →https://doi.org/10.1007/bf02392300openalex-snapshot
An extended Euler-Poincaré theorem
inferredcites →https://doi.org/10.1007/bf02761163openalex-snapshot
Characterization off-vectors of families of convex sets inR d Part I: Necessity of Eckhoff’s conditions
inferredcites →https://doi.org/10.1016/0001-8708(80)90006-7openalex-snapshot
Combinatorial methods in the theory of Cohen-Macaulay rings
inferredcites →https://doi.org/10.1016/0012-365x(84)90193-6openalex-snapshot
A new short proof for the Kruskal-Katona theorem
inferredcites →https://doi.org/10.1016/0012-365x(93)90574-dopenalex-snapshot
A combinatorial decomposition of acyclic simplicial complexes
inferredcites →https://doi.org/10.1016/0097-3165(74)90012-0openalex-snapshot
A simple proof of the Kruskal-Katona theorem
inferredcites →https://doi.org/10.1016/0097-3165(76)90079-0openalex-snapshot
Strong versions of Sperner's theorem
inferredcites →https://doi.org/10.1016/b978-0-08-016160-0.50028-2openalex-snapshot
ELEMENTS OF ALGEBRAIC TOPOLOGY
inferredcites →https://doi.org/10.1090/dimacs/004/06openalex-snapshot
Extended Euler-Poincaré relations for cell complexes
inferredcites →https://doi.org/10.1090/s0002-9947-1979-0526314-6openalex-snapshot
Balanced Cohen-Macaulay Complexes
inferredcites →https://doi.org/10.1201/9780429493911openalex-snapshot
Elements of Algebraic Topology
inferredcites →https://doi.org/10.1525/9780520319875-014openalex-snapshot
12. The Number of Simplices in a Complex
inferredcites →https://doi.org/10.5948/upo9781614440147openalex-snapshot
Combinatorial Mathematics

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1006/aima.1997.1650openalex-snapshot
Morse Theory for Cell Complexes
inferred← citeshttps://doi.org/10.1007/978-3-319-24298-9_28openalex-snapshot
Simplicial and cellular trees
inferred← citeshttps://doi.org/10.1007/bf02802509openalex-snapshot
Iterated homology and decompositions of simplicial complexes
inferred← citeshttps://doi.org/10.1007/pl00004638openalex-snapshot
Combinatorial vector fields and dynamical systems
inferred← citeshttps://doi.org/10.1016/j.aim.2004.06.009openalex-snapshot
h -Vectors of Gorenstein* simplicial posets
inferred← citeshttps://doi.org/10.1023/a:1011216008191openalex-snapshot
Iterated Homology of Simplicial Complexes
inferred← citeshttps://doi.org/10.1023/a:1018687018440openalex-snapshot
On f-Vectors and Relative Homology
inferred← citeshttps://doi.org/10.1090/pcms/013/04openalex-snapshot
Topics in combinatorial differential topology and geometry
inferred← citeshttps://doi.org/10.1090/s0002-9939-2013-12003-4openalex-snapshot
When will the Stanley depth increase?
inferred← citeshttps://doi.org/10.1142/s0129167x02001265openalex-snapshot
COMBINATORIAL NOVIKOV–MORSE THEORY
inferred← citeshttps://doi.org/10.2969/aspm/03310121openalex-snapshot
Algebraic Shifting
inferred← citeshttps://doi.org/10.37236/1245openalex-snapshot
Algebraic Shifting and Sequentially Cohen-Macaulay Simplicial Complexes
inferred← citeshttps://doi.org/10.37236/1279openalex-snapshot
Pfaff's Method (III): Comparison With the WZ Method
inferred← citeshttps://doi.org/10.37236/5819openalex-snapshot
Directed Rooted Forests in Higher Dimension
inferred← citeshttps://doi.org/10.48550/arxiv.math/0305203openalex-snapshot
h-vectors of Gorenstein* simplicial posets
inferred← citeshttps://doi.org/10.4995/agt.2011.1650openalex-snapshot
Morse theory for C*-algebras: a geometric interpretation of some noncommutative manifolds
inferred← citeshttps://doi.org/10.4995/agt.2013.1671openalex-snapshot
Discrete dynamics on noncommutative CW complexes
inferred← citeshttps://doi.org/10.5070/c61055379openalex-snapshot
Resolving Stanley's conjecture on $k$-fold acyclic complexes
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