Constructions of non-principal families in extremal hypergraph theory

Dhruv Mubayi; Oleg Pikhurko

doi:10.1016/j.disc.2007.08.040

Constructions of non-principal families in extremal hypergraph theory

Discrete Mathematics ◽

10.1016/j.disc.2007.08.040 ◽

2008 ◽

Vol 308 (19) ◽

pp. 4430-4434 ◽

Cited By ~ 6

Author(s):

Dhruv Mubayi ◽

Oleg Pikhurko

Keyword(s):

Extremal Hypergraph ◽

Hypergraph Theory

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The Junta Method in Extremal Hypergraph Theory and Chvátal's Conjecture

Electronic Notes in Discrete Mathematics ◽

10.1016/j.endm.2017.07.027 ◽

2017 ◽

Vol 61 ◽

pp. 711-717 ◽

Cited By ~ 3

Author(s):

Nathan Keller ◽

Noam Lifshitz

Keyword(s):

Extremal Hypergraph ◽

Hypergraph Theory

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Density theorems and extremal hypergraph problems

Israel Journal of Mathematics ◽

10.1007/bf02771992 ◽

2006 ◽

Vol 152 (1) ◽

pp. 371-380 ◽

Cited By ~ 9

Author(s):

V. Rödl ◽

E. Tengan ◽

M. Schacht ◽

N. Tokushige

Keyword(s):

Density Theorems ◽

Extremal Hypergraph

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Application of hypergraph theory in the analysis of the failure propagation and diffusion behaviour of machining centre

Quality and Reliability Engineering International ◽

10.1002/qre.3007 ◽

2021 ◽

Author(s):

Liming Mu ◽

Yingzhi Zhang ◽

Xiaofeng Wang ◽

Yutong Zhou

Keyword(s):

Failure Propagation ◽

Hypergraph Theory ◽

And Diffusion ◽

Diffusion Behaviour

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Extremal hypergraph problems

Surveys in Combinatorics ◽

10.1017/cbo9780511662133.004 ◽

1979 ◽

pp. 44-65 ◽

Cited By ~ 6

Author(s):

D.J. Kleitman

Keyword(s):

Extremal Hypergraph

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Hypergraph Theory

10.1007/978-3-319-00080-0 ◽

2013 ◽

Cited By ~ 81

Author(s):

Alain Bretto

Keyword(s):

Hypergraph Theory

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Some new trace formulas of tensors with applications in spectral hypergraph theory

Linear and Multilinear Algebra ◽

10.1080/03081087.2014.910208 ◽

2014 ◽

Vol 63 (5) ◽

pp. 971-992 ◽

Cited By ~ 8

Author(s):

Jia-Yu Shao ◽

Liqun Qi ◽

Shenglong Hu

Keyword(s):

Trace Formulas ◽

Hypergraph Theory

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New Turán Exponents for Two Extremal Hypergraph Problems

SIAM Journal on Discrete Mathematics ◽

10.1137/20m1325769 ◽

2020 ◽

Vol 34 (4) ◽

pp. 2338-2345

Author(s):

Chong Shangguan ◽

Itzhak Tamo

Keyword(s):

Extremal Hypergraph

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The Research on General Modeling Methods of the Complicated Transmission Based on Hypergraph Theory

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.86.704 ◽

2011 ◽

Vol 86 ◽

pp. 704-708 ◽

Cited By ~ 1

Author(s):

Chang Le Xiang ◽

Ying Ying Zhang ◽

Hui Liu ◽

Meng Cui

Keyword(s):

Planetary Gear ◽

Automatic Generation ◽

Gear Transmission ◽

Dynamics Model ◽

Modeling Methods ◽

General Dynamics ◽

Fixed Axis ◽

Hypergraph Theory ◽

Complex Transmission ◽

Conversion Rules

In order to be adapt to the increasingly large complex transmission modeling, this paper propose methods of building generalized modeling through applying hypergraph theory to the complex fixed axis transmission, the planetary gear transmission and the integrated transmission. The author established conversion rules between the real transmission to hypergraph, and found feasibility algorithm for relay route auto search. Hypergraph theory can be further used to realize automatic generation of general dynamics model.

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