On the public citation graph

d-Collapsing and nerves of families of convex sets

0 signed · 89 inferred · view as graph

Inferred edges come from two machine sources: sweeps of open repository metadata (mostly SSRN and Zenodo), and a bulk OpenAlex citation snapshot. Every row below is labelled with the one it came from. Neither is a complete citation index — absence here is not evidence of absence.

Is this your work? Sign in with ORCID and put your name on the claims that are yours.
Claim with ORCID
Reference health. See whether every reference in this work resolves to a known work and none has been retracted — and get a dated CiteStamped badge you can embed.
See reference health

What this work says

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

inferredcites →https://doi.org/10.1007/bf01696777openalex-snapshot
Über Systeme von abgeschlossenen Mengen mit gemeinschaftlichen Punkten
inferredcites →https://doi.org/10.1007/bfb0060111openalex-snapshot
Incidence patterns of graphs and complexes
inferredcites →https://doi.org/10.1016/0040-9383(63)90014-4openalex-snapshot
On the dunce hat
inferredcites →https://doi.org/10.1090/pspum/007/0157289openalex-snapshot
Helly’s theorem and its relatives
inferredcites →https://doi.org/10.1112/plms/s2-45.1.243openalex-snapshot
Simplicial Spaces, Nuclei and m -Groups
inferredcites →https://doi.org/10.4064/fm-51-1-45-64openalex-snapshot
Representation of a finite graph by a set of intervals on the real line

What points at this work

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

inferred← citeshttps://doi.org/10.1007/978-1-4614-0110-0_28openalex-snapshot
Intersection Patterns of Convex Sets via Simplicial Complexes: A Survey
inferred← citeshttps://doi.org/10.1007/978-1-4939-0626-0_7openalex-snapshot
Regularity of Squarefree Monomial Ideals
inferred← citeshttps://doi.org/10.1007/978-3-030-11521-0_2openalex-snapshot
Regularity of Edge Ideals and Their Powers
inferred← citeshttps://doi.org/10.1007/978-3-030-45247-6_5openalex-snapshot
Problems, Questions, and Inductive Techniques
inferred← citeshttps://doi.org/10.1007/978-3-319-44479-6_17openalex-snapshot
Bounding Helly Numbers via Betti Numbers
inferred← citeshttps://doi.org/10.1007/978-3-642-41714-6_210825openalex-snapshot
upper bound theorem
inferred← citeshttps://doi.org/10.1007/bf00181472openalex-snapshot
An Upper-Bound theorem for families of convex sets
inferred← citeshttps://doi.org/10.1007/bf01158213openalex-snapshot
Convex sets and hypergraphs
inferred← citeshttps://doi.org/10.1007/bf01194303openalex-snapshot
Families of convex sets having convex union
inferred← citeshttps://doi.org/10.1007/bf02574042openalex-snapshot
Bounding the piercing number
inferred← citeshttps://doi.org/10.1007/bf02761162openalex-snapshot
Intersection patterns of convex sets
inferred← citeshttps://doi.org/10.1007/bf02761163openalex-snapshot
Characterization off-vectors of families of convex sets inR d Part I: Necessity of Eckhoff’s conditions
inferred← citeshttps://doi.org/10.1007/bf02941422openalex-snapshot
Die Euler-Charakteristik von Vereinigungen konvexer Mengen im Rd
inferred← citeshttps://doi.org/10.1007/pl00009421openalex-snapshot
Intersection Properties of Families of Convex (n,d)-Bodies
inferred← citeshttps://doi.org/10.1007/s00454-008-9085-7openalex-snapshot
Removing Degeneracy in LP-Type Problems Revisited
inferred← citeshttps://doi.org/10.1007/s00454-008-9091-9openalex-snapshot
Dimension Gaps between Representability and Collapsibility
inferred← citeshttps://doi.org/10.1007/s00454-011-9356-6openalex-snapshot
A Counterexample to Wegner’s Conjecture on Good Covers
inferred← citeshttps://doi.org/10.1007/s00454-013-9559-0openalex-snapshot
Colourful and Fractional (p,q)-theorems
inferred← citeshttps://doi.org/10.1007/s00454-015-9747-1openalex-snapshot
Recognition of Collapsible Complexes is NP-Complete
inferred← citeshttps://doi.org/10.1007/s00454-021-00332-1openalex-snapshot
Representability and Boxicity of Simplicial Complexes
inferred← citeshttps://doi.org/10.1007/s00493-019-4019-yopenalex-snapshot
Rainbow Fractional Matchings
inferred← citeshttps://doi.org/10.1007/s00493-023-00044-5openalex-snapshot
Leray Numbers of Tolerance Complexes
inferred← citeshttps://doi.org/10.1007/s004930100020openalex-snapshot
Convex Sets in the Plane with Three of Every Four Meeting
inferred← citeshttps://doi.org/10.1007/s10801-022-01164-9openalex-snapshot
The v-number and Castelnuovo–Mumford regularity of graphs
inferred← citeshttps://doi.org/10.1007/s11856-019-1923-1openalex-snapshot
On connectivity of the facet graphs of simplicial complexes
inferred← citeshttps://doi.org/10.1007/s11856-022-2308-4openalex-snapshot
Complexes of graphs with bounded independence number
inferred← citeshttps://doi.org/10.1007/s11856-025-2814-2openalex-snapshot
Enumeration of interval graphs and d-representable complexes
inferred← citeshttps://doi.org/10.1007/s12044-026-00867-4openalex-snapshot
On homological invariants associated to graphs with induced matching number one
inferred← citeshttps://doi.org/10.1007/s13348-019-00250-9openalex-snapshot
Regularity, matchings and Cameron–Walker graphs
inferred← citeshttps://doi.org/10.1007/s40062-023-00334-1openalex-snapshot
Weak cartesian properties of simplicial sets
inferred← citeshttps://doi.org/10.1007/s41980-021-00560-4openalex-snapshot
Algebraic Properties of Edge Ideals and Cover Ideals of Unbalanced Crown Graphs
inferred← citeshttps://doi.org/10.1016/0001-8708(92)90052-mopenalex-snapshot
Piercing convex sets and the Hadwiger-Debrunner (p, q)-problem
inferred← citeshttps://doi.org/10.1016/0097-3165(86)90079-8openalex-snapshot
Characterization of f-vectors of families of convex sets in Rd part II: Sufficiency of Eckhoff's conditions
inferred← citeshttps://doi.org/10.1016/b978-0-444-89596-7.50017-1openalex-snapshot
Helly, Radon, and Carathéodory Type Theorems
inferred← citeshttps://doi.org/10.1016/j.aim.2004.03.009openalex-snapshot
A topological colorful Helly theorem
inferred← citeshttps://doi.org/10.1016/j.disc.2020.111956openalex-snapshot
Petruska’s question on planar convex sets
inferred← citeshttps://doi.org/10.1016/j.endm.2009.07.009openalex-snapshot
d-collapsibility is NP-complete for d ⩾ 4
inferred← citeshttps://doi.org/10.1016/j.jcta.2006.01.005openalex-snapshot
Intersections of Leray complexes and regularity of monomial ideals
inferred← citeshttps://doi.org/10.1016/j.jcta.2019.105204openalex-snapshot
Chordality, d-collapsibility, and componentwise linear ideals
inferred← citeshttps://doi.org/10.1016/j.jcta.2021.105430openalex-snapshot
Non-ridge-chordal complexes whose clique complex has shellable Alexander dual
inferred← citeshttps://doi.org/10.1016/s0195-6698(85)80029-9openalex-snapshot
A Simple Proof of the Upper Bound Theorem
inferred← citeshttps://doi.org/10.1016/s0196-8858(02)00003-9openalex-snapshot
Transversal numbers for hypergraphs arising in geometry
inferred← citeshttps://doi.org/10.1017/fms.2024.23openalex-snapshot
Extensions of the colorful Helly theorem for d-collapsible and d-Leray complexes
inferred← citeshttps://doi.org/10.1070/rm2008v063n06abeh004578openalex-snapshot
Topological methods in combinatorial geometry
inferred← citeshttps://doi.org/10.1080/00927872.2019.1684505openalex-snapshot
On minimal free resolution of edge ideals of multipartite crown graphs
inferred← citeshttps://doi.org/10.1080/00927872.2020.1831004openalex-snapshot
On graded Betti numbers of edge rings of deficient complete bipartite graphs
inferred← citeshttps://doi.org/10.1090/bull/1753openalex-snapshot
Helly-type problems
inferred← citeshttps://doi.org/10.1090/conm/685/13718openalex-snapshot
Helly’s theorem: New variations and applications
inferred← citeshttps://doi.org/10.1090/memo/1345openalex-snapshot
Cell complexes, poset topology and the representation theory of algebras arising in algebraic combinatorics and discrete geometry
inferred← citeshttps://doi.org/10.1090/s0002-9939-10-10463-8openalex-snapshot
Non-representability of finite projective planes by convex sets
inferred← citeshttps://doi.org/10.1090/s0273-0979-1992-00304-xopenalex-snapshot
Piercing convex sets
inferred← citeshttps://doi.org/10.1093/imrn/rnx184openalex-snapshot
Colorful Simplicial Depth, Minkowski Sums, and Generalized Gale Transforms
inferred← citeshttps://doi.org/10.1093/imrn/rnz055openalex-snapshot
Convex Union Representability and Convex Codes
inferred← citeshttps://doi.org/10.1111/j.1749-6632.1989.tb22438.xopenalex-snapshot
On f ‐Vectors and Homologya
inferred← citeshttps://doi.org/10.1112/jtopol/jtn010openalex-snapshot
Leray numbers of projections and a topological Helly-type theorem
inferred← citeshttps://doi.org/10.1112/mtk.12103openalex-snapshot
RELATIVE LERAY NUMBERS VIA SPECTRAL SEQUENCES
inferred← citeshttps://doi.org/10.1137/18m1186563openalex-snapshot
Neural Codes, Decidability, and a New Local Obstruction to Convexity
inferred← citeshttps://doi.org/10.1137/22m1481440openalex-snapshot
On Vietoris–Rips Complexes (with Scale 3) of Hypercube Graphs
inferred← citeshttps://doi.org/10.1142/s0219498825503244openalex-snapshot
Graded Betti numbers of some bipartite graphs
inferred← citeshttps://doi.org/10.1142/s0219498826501112openalex-snapshot
Certain homological invariants of some bipartite graphs
inferred← citeshttps://doi.org/10.1145/142675.142711openalex-snapshot
Piercing convex sets
inferred← citeshttps://doi.org/10.11575/cdm.v6i2.62104openalex-snapshot
Strong d-collapsibility
inferred← citeshttps://doi.org/10.1186/1687-1812-2012-11openalex-snapshot
Local properties of simplicial complexes
inferred← citeshttps://doi.org/10.1216/jca-2017-9-4-441openalex-snapshot
Powers of edge ideals of regularity three bipartite graphs
inferred← citeshttps://doi.org/10.1216/jca.2024.16.391openalex-snapshot
FRÖBERG’S THEOREM, VERTEX SPLITTABILITY AND HIGHER INDEPENDENCE COMPLEXES
inferred← citeshttps://doi.org/10.15381/pesquimat.v24i1.19717openalex-snapshot
Sobre dos Teoremas Combinatorios
inferred← citeshttps://doi.org/10.35376/10324/1769openalex-snapshot
Graded Betti numbers of edge ideals
inferred← citeshttps://doi.org/10.37236/1316openalex-snapshot
A Purely Combinatorial Proof of the Hadwiger Debrunner $(p,q)$ Conjecture
inferred← citeshttps://doi.org/10.37236/8364openalex-snapshot
Collapsibility of Simplicial Complexes of Hypergraphs
inferred← citeshttps://doi.org/10.37236/8684openalex-snapshot
Collapsibility of Non-Cover Complexes of Graphs
inferred← citeshttps://doi.org/10.37236/8844openalex-snapshot
Choice Functions in the Intersection of Matroids
inferred← citeshttps://doi.org/10.37236/9448openalex-snapshot
Cooperative Conditions for the Existence of Rainbow Matchings
inferred← citeshttps://doi.org/10.4086/cjtcs.2010.003openalex-snapshot
inferred← citeshttps://doi.org/10.4213/rm9244openalex-snapshot
Топологические методы в комбинаторной геометрии
inferred← citeshttps://doi.org/10.4230/lipics.socg.2021.19openalex-snapshot
Optimal Bounds for the Colorful Fractional Helly Theorem
inferred← citeshttps://doi.org/10.4230/lipics.socg.2021.40openalex-snapshot
A Stepping-Up Lemma for Topological Set Systems
inferred← citeshttps://doi.org/10.46298/dmtcs.2381openalex-snapshot
Poset topology and homological invariants of algebras arising in algebraic combinatorics
inferred← citeshttps://doi.org/10.48550/arxiv.0803.3520openalex-snapshot
On the gap between representability and collapsibility
inferred← citeshttps://doi.org/10.48550/arxiv.0808.1991openalex-snapshot
d-collapsibility is NP-complete for d greater or equal to 4
inferred← citeshttps://doi.org/10.48550/arxiv.1008.1895openalex-snapshot
A counterexample to Wegner's conjecture on good covers
inferred← citeshttps://doi.org/10.48550/arxiv.1211.6254openalex-snapshot
Recognition of collapsible complexes is NP-complete
inferred← citeshttps://doi.org/10.48550/arxiv.math/9210213openalex-snapshot
Piercing convex sets
inferred← citeshttps://doi.org/10.5802/alco.119openalex-snapshot
Regularity of powers of edge ideals: from local properties to global bounds
Editorial review for independent work. ICSAC — the Institute for Complexity Science and Advanced Computing — runs a structured editorial panel for researchers publishing outside journals, and publishes on CiteStamp rails. Submission is free and goes through ORCID: icsacinstitute.org/submit.