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Graph theorems for manifolds

https://doi.org/10.1007/bf02761971

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What this work says

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

inferredcites →https://doi.org/10.1007/978-1-4612-2972-8_4openalex-snapshot

Congruent Graphs and the Connectivity of Graphs

inferredcites →https://doi.org/10.1007/bf02771522openalex-snapshot

The minimum number of vertices of a simple polytope

inferredcites →https://doi.org/10.2307/1969769openalex-snapshot

Affine Structures in 3-Manifolds: V. The Triangulation Theorem and Hauptvermutung

inferredcites →https://doi.org/10.2307/2371086openalex-snapshot

Congruent Graphs and the Connectivity of Graphs

What points at this work

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

inferred← citeshttps://doi.org/10.1006/eujc.1993.1002openalex-snapshot

Oriented Matroids and Combinatorial Manifolds

inferred← citeshttps://doi.org/10.1006/jctb.1993.1059openalex-snapshot

The Construction of Self-Dual Projective Polyhedra

inferred← citeshttps://doi.org/10.1006/jctb.1995.1053openalex-snapshot

On the Spectral Radius and the Genus of Graphs

inferred← citeshttps://doi.org/10.1006/jctb.1998.1837openalex-snapshot

Upper Bounds of the Spectral Radius of Graphs in Terms of Genus

inferred← citeshttps://doi.org/10.1007/978-3-030-05141-9_9openalex-snapshot

A Tale of Centrally Symmetric Polytopes and Spheres

inferred← citeshttps://doi.org/10.1007/bf01190951openalex-snapshot

�ber Hilbert-Funktionen graduierter Gorenstein-Algebren

inferred← citeshttps://doi.org/10.1007/bf01405094openalex-snapshot

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inferred← citeshttps://doi.org/10.1007/bf02392139openalex-snapshot

Polytope pairs and their relationship to linear programming

inferred← citeshttps://doi.org/10.1007/bf02574038openalex-snapshot

Lower-bound theorems for pseudomanifolds

inferred← citeshttps://doi.org/10.1007/bf02771721openalex-snapshot

Decompositions of homology manifolds and their graphs

inferred← citeshttps://doi.org/10.1007/bf02773427openalex-snapshot

Polyhedral embeddings in the projective plane

inferred← citeshttps://doi.org/10.1007/bf02786514openalex-snapshot

n-connectedness in pure 2-complexes

inferred← citeshttps://doi.org/10.1007/bf02808218openalex-snapshot

3-Trees in polyhedral maps

inferred← citeshttps://doi.org/10.1007/bf02941413openalex-snapshot

Untersuchungen über die Dualität zwischen Schnitten und Submannigfaltigkeiten konvexer Polytope und allgemeinerer kombinatorischer Mannigfaltigkeiten

inferred← citeshttps://doi.org/10.1007/bf03322403openalex-snapshot

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inferred← citeshttps://doi.org/10.1007/s00373-025-02988-5openalex-snapshot

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inferred← citeshttps://doi.org/10.1007/s00454-009-9181-3openalex-snapshot

On the Graph Connectivity of Skeleta of Convex Polytopes

inferred← citeshttps://doi.org/10.1007/s00454-016-9787-1openalex-snapshot

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inferred← citeshttps://doi.org/10.1007/s00454-018-9978-zopenalex-snapshot

A Lower Bound Theorem for Centrally Symmetric Simplicial Polytopes

inferred← citeshttps://doi.org/10.1007/s00454-023-00553-6openalex-snapshot

A Lower Bound Theorem for Strongly Regular CW Spheres with up to $$2d+1$$ Vertices

inferred← citeshttps://doi.org/10.1007/s00454-024-00642-0openalex-snapshot

Affine Stresses: The Partition of Unity and Kalai’s Reconstruction Conjectures

inferred← citeshttps://doi.org/10.1007/s11512-009-0106-4openalex-snapshot

Some combinatorial properties of flag simplicial pseudomanifolds and spheres

inferred← citeshttps://doi.org/10.1007/s11512-009-0119-zopenalex-snapshot

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inferred← citeshttps://doi.org/10.1007/s11856-019-1923-1openalex-snapshot

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inferred← citeshttps://doi.org/10.1007/s11856-021-2234-xopenalex-snapshot

A Proof of Grünbaum’s Lower Bound Conjecture for general polytopes

inferred← citeshttps://doi.org/10.1016/0012-365x(86)90112-3openalex-snapshot

Wv paths in the projective plane

inferred← citeshttps://doi.org/10.1016/0012-365x(88)90075-1openalex-snapshot

Decomposition theorems for the torus, projective plane and Klein bottle

inferred← citeshttps://doi.org/10.1016/0012-365x(90)90159-fopenalex-snapshot

Generating the 4-connected and strongly 4-connected triangulations on the torus and projective plane

inferred← citeshttps://doi.org/10.1016/0012-365x(93)e0134-popenalex-snapshot

A short proof of the d-connectedness of d-polytypes

inferred← citeshttps://doi.org/10.1016/0012-365x(94)90272-0openalex-snapshot

Projective plane embeddings of polyhedral pinched maps

inferred← citeshttps://doi.org/10.1016/0012-365x(94)90386-7openalex-snapshot

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inferred← citeshttps://doi.org/10.1016/0095-8956(91)90043-jopenalex-snapshot

Generating projective plane polyhedral maps

inferred← citeshttps://doi.org/10.1016/0097-3165(88)90051-9openalex-snapshot

A new basis of polytopes

inferred← citeshttps://doi.org/10.1016/0195-6698(95)90005-5openalex-snapshot

Skeletal rigidity of simplicial complexes, II

inferred← citeshttps://doi.org/10.1016/0195-6698(95)90019-5openalex-snapshot

Skeletal rigidity of simplicial complexes, I

inferred← citeshttps://doi.org/10.1016/b978-0-444-89596-7.50020-1openalex-snapshot

Polyhedral Manifolds

inferred← citeshttps://doi.org/10.1016/j.aam.2024.102705openalex-snapshot

A structure theorem for homology 4-manifolds with g2 ≤ 5

inferred← citeshttps://doi.org/10.1016/j.aim.2020.107035openalex-snapshot

Three-dimensional normal pseudomanifolds with relatively few edges

inferred← citeshttps://doi.org/10.1016/j.disc.2020.112135openalex-snapshot

The rigidity of the graphs of homology spheres minus one edge

inferred← citeshttps://doi.org/10.1016/j.disc.2021.112408openalex-snapshot

A new proof of Balinski’s theorem on the connectivity of polytopes

inferred← citeshttps://doi.org/10.1016/j.disc.2023.113588openalex-snapshot

A characterization of normal 3-pseudomanifolds with at most two singularities

inferred← citeshttps://doi.org/10.1016/j.disc.2024.114073openalex-snapshot

Topological and combinatorial characterizations of normal 3-pseudomanifolds with g2 ≤ 5

inferred← citeshttps://doi.org/10.1016/j.disc.2025.114843openalex-snapshot

On a construction of some homology d-manifolds

inferred← citeshttps://doi.org/10.1016/j.ejc.2013.06.016openalex-snapshot

A graph-theoretical axiomatization of oriented matroids

inferred← citeshttps://doi.org/10.1016/j.ejc.2021.103460openalex-snapshot

On the Holt–Klee property for oriented matroid programming

inferred← citeshttps://doi.org/10.1016/j.endm.2008.06.038openalex-snapshot

Linkages in Polytope Graphs

inferred← citeshttps://doi.org/10.1016/j.endm.2011.09.085openalex-snapshot

A graph-theoretical axiomatization of oriented matroids

inferred← citeshttps://doi.org/10.1016/j.exmath.2008.06.002openalex-snapshot

Lower bound theorem for normal pseudomanifolds

inferred← citeshttps://doi.org/10.1016/j.jcta.2009.12.011openalex-snapshot

A characterization of simplicial polytopes with g2=1

inferred← citeshttps://doi.org/10.1016/j.jcta.2015.07.001openalex-snapshot

Separation index of graphs and stacked 2-spheres

inferred← citeshttps://doi.org/10.1016/s0167-5060(08)70320-0openalex-snapshot

Which Spheres are Shellable?

inferred← citeshttps://doi.org/10.1016/s0167-5060(08)70598-3openalex-snapshot

A Survey of Self-Dual Polyhedra

inferred← citeshttps://doi.org/10.1016/s1571-0653(05)80176-3openalex-snapshot

A Connectivity Lemma

inferred← citeshttps://doi.org/10.1023/a:1008648302195openalex-snapshot

Finite Free Resolutions and 1-Skeletons of Simplicial Complexes

inferred← citeshttps://doi.org/10.1090/s0002-9947-1978-0492298-1openalex-snapshot

3-Pseudomanifolds with Preassigned Links

inferred← citeshttps://doi.org/10.1090/s0002-9947-1983-0690049-0openalex-snapshot

On Neighbourly Triangulations

inferred← citeshttps://doi.org/10.1090/s0077-1554-2013-00200-9openalex-snapshot

Topological applications of Stanley-Reisner rings of simplicial complexes

inferred← citeshttps://doi.org/10.1111/j.1749-6632.1989.tb22438.xopenalex-snapshot

On f ‐Vectors and Homologya

inferred← citeshttps://doi.org/10.1112/s0025579315000297openalex-snapshot

LOWER BOUND THEOREMS AND A GENERALIZED LOWER BOUND CONJECTURE FOR BALANCED SIMPLICIAL COMPLEXES

inferred← citeshttps://doi.org/10.1137/120894324openalex-snapshot

From Flag Complexes to Banner Complexes

inferred← citeshttps://doi.org/10.1137/24m1682361openalex-snapshot

Transversal Numbers of Simplicial Polytopes, Spheres, and Pure Complexes

inferred← citeshttps://doi.org/10.1287/moor.12.4.718openalex-snapshot

The d-Step Conjecture and Its Relatives

inferred← citeshttps://doi.org/10.2140/involve.2020.13.683openalex-snapshot

Minimal flag triangulations of lower-dimensional manifolds

inferred← citeshttps://doi.org/10.2140/pjm.1975.57.33openalex-snapshot

Generalized combinatorial cells and facet splitting

inferred← citeshttps://doi.org/10.37236/74openalex-snapshot

Remarks on Missing Faces and Generalized Lower Bounds on Face Numbers

inferred← citeshttps://doi.org/10.4153/cjm-2001-042-3openalex-snapshot

Monotone Paths on Zonotopes and Oriented Matroids

inferred← citeshttps://doi.org/10.48550/arxiv.0710.3726openalex-snapshot

Linkages in Polytope Graphs

inferred← citeshttps://doi.org/10.48550/arxiv.0802.3747openalex-snapshot

Lower bound theorem for normal pseudomanifolds

inferred← citeshttps://doi.org/10.48550/arxiv.0804.1813openalex-snapshot

A characterization of simplicial polytopes with g_2=1

inferred← citeshttps://doi.org/10.48550/arxiv.0912.4097openalex-snapshot

A generalization of $k$-Cohen-Macaulay complexes

inferred← citeshttps://doi.org/10.48550/arxiv.1106.1038openalex-snapshot

A graph-theoretical axiomatization of oriented matroids

inferred← citeshttps://doi.org/10.48550/arxiv.1210.1297openalex-snapshot

From flag complexes to banner complexes

inferred← citeshttps://doi.org/10.48550/arxiv.2101.07245openalex-snapshot

Anisotropy, biased pairings, and the Lefschetz property for pseudomanifolds and cycles

inferred← citeshttps://doi.org/10.48550/arxiv.math/0107123openalex-snapshot

On generating a diminimal set of polyhedral maps on the torus

inferred← citeshttps://doi.org/10.48550/arxiv.math/0404465openalex-snapshot

Triangulated Manifolds with Few Vertices: Centrally Symmetric Spheres and Products of Spheres

inferred← citeshttps://doi.org/10.48550/arxiv.math/0701735openalex-snapshot

Minimal Triangulations of Manifolds

inferred← citeshttps://doi.org/10.7146/math.scand.a-23297openalex-snapshot

Stellar Theory for Flag Complexes

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