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Computational problem in algebraic topology
The simplicial complex recognition problem is a computational problem in algebraic topology. Given a simplicial complex, the problem is to decide whether
Simplicial complex recognition problem
Simplicial_complex_recognition_problem
Type of mathematical set
In mathematics, a simplicial complex is a structured set of simplices (for example, points, line segments, triangles, and their n-dimensional counterparts)
Simplicial_complex
Mathematical object
In combinatorics, an abstract simplicial complex (ASC), often called an abstract complex or just a complex, is a family of sets that is closed under taking
Abstract_simplicial_complex
Research field in deep learning
interactions among multiple entities and complex hierarchies. This approach leverages structures like simplicial complexes and hypergraphs to capture global
Topological_deep_learning
Unsolved problem in computational complexity theory
simplicial convex polytopes in arbitrary dimensions. Many classes of digraphs are also GI-complete. There are other nontrivial GI-complete problems in
Graph_isomorphism_problem
Simplicial complex in Euclidean geometry
in the Euclidean space R d {\displaystyle \mathbb {R} ^{d}} is a simplicial complex that covers the convex hull of P {\displaystyle {\mathcal {P}}} ,
Point-set_triangulation
Subgraph induced by all nodes linked to a given node of a graph
related concept in polyhedra Link (simplicial complex), a generalization of the neighborhood to simplicial complexes Hell 1978, Sedláček 1983 Wigderson
Neighbourhood_(graph_theory)
Analysis of datasets using techniques from topology
simplicial complex to a much smaller cellular complex which is homotopic to the original one. This reduction can in fact be performed as the complex is
Topological_data_analysis
Study of mathematical algorithms for optimization problems
algorithms Hill climbing with random restart Memetic algorithm Nelder–Mead simplicial heuristic: A popular heuristic for approximate minimization (without calling
Mathematical_optimization
Subfield of mathematical topology
triangulations (simplicial complexes) are equivalent (homeomorphic) is elementary recursive. This generalizes the result on 3-sphere recognition. SnapPea implements
Computational_topology
Class of undirected graphs defined from systems of sets
Rabinovich, Yuri (2015), On Connectivity of the Facet Graphs of Simplicial Complexes, arXiv:1502.02232, Bibcode:2015arXiv150202232N. Rispoli, Fred J.
Johnson_graph
Awarded every year by the American Mathematical Society
American Mathematical Society. ISBN 0-8218-1666-7. Curtis, Edward B (1971). "Simplicial homotopy theory" (PDF). Advances in Mathematics. 6 (2): 107–209. doi:10
Leroy_P._Steele_Prize
Graph with equal-size maximal independent sets
The independence complex of a graph G is the simplicial complex having a simplex for each independent set in G. A simplicial complex is said to be pure
Well-covered_graph
topology of manifolds) Seifert–van Kampen theorem (algebraic topology) Simplicial approximation theorem (algebraic topology) Stallings–Zeeman theorem (algebraic
List_of_theorems
Mathematician
their connections to homotopy theory. She is noted for introducing Kan simplicial manifolds in 2006, which provide a calculable model for ∞-stacks and have
Chenchang_Zhu
Form of artificial neural network
doi:10.1051/jphys:01988004903038900. Burns, Thomas; Fukai, Tomoki (2023). "Simplicial Hopfield networks". International Conference on Learning Representations
Hopfield_network
Generalization of graph theory
called an abstract simplicial complex. It is generally not reduced, unless all hyperedges have cardinality 1. An abstract simplicial complex with the augmentation
Hypergraph
Statistical model used in machine learning
Calibration". arXiv:2408.02841 [stat.ML]. Graf, Monique (2019). "The Simplicial Generalized Beta distribution - R-package SGB and applications". Libra
Flow-based_generative_model
American mathematician
volume one. By construction the Outer space Xn is a finite-dimensional simplicial complex equipped with a natural action of Out(Fn) which is properly discontinuous
Karen_Vogtmann
SIMPLICIAL COMPLEX-RECOGNITION-PROBLEM
SIMPLICIAL COMPLEX-RECOGNITION-PROBLEM
Girl/Female
Muslim
Complex, Zigzag, Curling
Boy/Male
Indian, Punjabi, Sikh
Victory of Simplicity
Surname or Lastname
English
English : habitational name, probably from Comley in Shropshire or Combley on the Isle of Wight; both are named with Old English cumb ‘valley’ + lēah ‘woodland clearing’.
Girl/Female
Indian
Simplicity and purity
Boy/Male
Hindu, Indian
More Polite; Simplicity
Girl/Female
Indian
Simplicity and purity
Girl/Female
Bengali, Indian
Good Complex
Girl/Female
Hindu, Indian
Complex
Girl/Female
Tamil
Hitansi | ஹிதாஂஸீ
Simplicity and purity
Hitansi | ஹிதாஂஸீ
Boy/Male
Arabic, Australian, Muslim
Mount of Recognition; Pilgrimage Site 25km from Mecca
Boy/Male
Indian, Punjabi, Sikh
Love for Simplicity
Girl/Female
Assamese, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit, Tamil, Telugu
Virtuous Woman; Simplicity
Surname or Lastname
English (Yorkshire)
English (Yorkshire) : habitational name from any of various places called Copley, for example in County Durham, Staffordshire, and Yorkshire, from the Old English personal name Coppa (apparently a byname for a tall man) or from copp ‘hilltop’ + lēah ‘woodland clearing’.
Boy/Male
Afghan, German, Indonesian
Fulfilled Wish; Prayer; Recognition; Acceptance
Boy/Male
Arabic, Muslim
Praise; Hymn of God; Recognition
Girl/Female
Tamil
Hitanshi | ஹிதாஂஷீÂ
Simplicity and purity
Hitanshi | ஹிதாஂஷீÂ
Surname or Lastname
English
English : unexplained.Americanized form of German Koppler.
Girl/Female
Greek Latin Spanish
Pastoral simplicity and happiness.
Girl/Female
Arabic, Muslim
Complex; Zigzag; Curling
Surname or Lastname
English
English : habitational name from Coppull in Lancashire, recorded in the 13th century as Cophill, from Old English copp ‘peak’ + hyll ‘hill’.English : nickname from Old French curt peil ‘short hair’.Probably an Americanized spelling of German and Jewish Koppel or German and Dutch Kappel.
SIMPLICIAL COMPLEX-RECOGNITION-PROBLEM
SIMPLICIAL COMPLEX-RECOGNITION-PROBLEM
Boy/Male
Hindu
Part of go, Part of the divine light, Gods own divine
Girl/Female
American, Australian, British, Christian, English, Greek, Swedish
Defender of Mankind; Feminine of Alexander; Defending Men
Boy/Male
Tamil
Tune, New rule
Surname or Lastname
English (eastern counties)
English (eastern counties) : unexplained. Possibly a variant of Masset (see Massett).
Boy/Male
Hindu, Indian
Lotus Faced
Boy/Male
Sikh
Boy/Male
Hindu
Lord of life
Boy/Male
French American Latin
Form of the Latin Marcellus meaning hammer.
Girl/Female
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Tamil, Telugu
Pond
Girl/Female
Gujarati, Hindu, Indian
Happy
SIMPLICIAL COMPLEX-RECOGNITION-PROBLEM
SIMPLICIAL COMPLEX-RECOGNITION-PROBLEM
SIMPLICIAL COMPLEX-RECOGNITION-PROBLEM
SIMPLICIAL COMPLEX-RECOGNITION-PROBLEM
SIMPLICIAL COMPLEX-RECOGNITION-PROBLEM
imp. & p. p.
of Comply
a.
Not complex; uncompounded; simple.
adv.
In a complex manner; not simply.
n.
Recollection; recognition.
n.
One who couples; that which couples, as a link, ring, or shackle, to connect cars.
a.
Repeatedly compound; made up of complex constituents.
imp. & p. p.
of Compile
n.
Composed of two or more parts; composite; not simple; as, a complex being; a complex idea.
n.
The quality or state of being simple, unmixed, or uncompounded; as, the simplicity of metals or of earths.
n.
Freedom from subtlety or abstruseness; clearness; as, the simplicity of a doctrine; the simplicity of an explanation or a demonstration.
a.
Intricate; entangled; complicated; complex.
n.
A failure to recognize; absence of recognition.
a.
Complex, complicated.
n.
A complex; an aggregate of parts; a complication.
n.
Recognition.
a.
See Couple-close.
n.
Previous cognition.
n.
Freedom from artificial ornament, pretentious style, or luxury; plainness; as, simplicity of dress, of style, or of language; simplicity of diet; simplicity of life.
n.
The quality or state of being not complex, or of consisting of few parts; as, the simplicity of a machine.
imp. & p. p.
of Couple