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Simplicial complex
Known as:
Underlying Space
, The Simplicial complex
, Pure simplicial complex
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In mathematics, a simplicial complex is a topological space of a certain kind, constructed by the union of points, line segments, triangles, and…
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Related topics
Related topics
32 relations
Alpha shape
Barycentric subdivision
Betti number
Circle packing theorem
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Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2020
Highly Cited
2020
Simplicial complexes: higher-order spectral dimension and dynamics
J. Torres
,
G. Bianconi
Journal of Physics: Complexity
2020
Corpus ID: 210700020
Simplicial complexes constitute the underlying topology of interacting complex systems including among the others brain and…
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Highly Cited
2018
Highly Cited
2018
Simplicial complexes and complex systems
V. Salnikov
,
Daniele Cassese
,
R. Lambiotte
European journal of physics
2018
Corpus ID: 119205227
We provide a short introduction to the field of topological data analysis (TDA) and discuss its possible relevance for the study…
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Highly Cited
2017
Highly Cited
2017
Extraction and characterization of sodium alginate from Moroccan Laminaria digitata brown seaweed
Mohamed Fertah
,
A. Belfkira
,
E. M. Dahmane
,
M. Taourirte
,
F. Brouillette
2017
Corpus ID: 95152231
Highly Cited
2014
Highly Cited
2014
Random Simplicial Complexes
A. Costa
,
M. Farber
2014
Corpus ID: 118111206
In this paper we propose a model of random simplicial complexes with randomness in all dimensions. We start with a set of n…
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Highly Cited
2007
Highly Cited
2007
The polyhedral product functor: a method of computation for moment-angle complexes, arrangements and related spaces
A. Bahri
,
M. Bendersky
,
F. Cohen
,
S. Gitler
2007
Corpus ID: 16069626
Highly Cited
2003
Highly Cited
2003
Antenna selection for multiple-antenna transmission systems: performance analysis and code construction
I. Bahceci
,
T. Duman
,
Y. Altunbasak
IEEE International Symposium on Information…
2003
Corpus ID: 15073324
Multiantenna systems employing space-time coding over quasistatic Rayleigh fading channels is considered. We prove that by…
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Highly Cited
1994
Highly Cited
1994
ZCS: A Zeroth Level Classifier System
Stewart W. Wilson
Evolutionary Computation
1994
Corpus ID: 17680778
A basic classifier system, ZCS, is presented that keeps much of Holland's original framework but simplifies it to increase…
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Highly Cited
1991
Highly Cited
1991
P.L. Homeomorphic Manifolds are Equivalent by Elementary 5hellingst
U. Pachner
European journal of combinatorics (Print)
1991
Corpus ID: 41983257
Highly Cited
1983
Highly Cited
1983
A fast encoding method for lattice codes and quantizers
J. Conway
,
N. Sloane
IEEE Transactions on Information Theory
1983
Corpus ID: 5493870
In an earlier paper the authors described a very fast method which, for the root lattices A_{n}, D_{n}, E_{n} , their duals and…
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Highly Cited
1980
Highly Cited
1980
Combinatorial Connectivities in Social Systems: An Application of Simplicial Complex Structures to the Study of Large Organizations
R. Atkin
1980
Corpus ID: 60043783
This book is a presentation of my recent research work into the theory and applications of mathematical relations between finite…
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