The typical structure of graphs with no large cliques
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DOI: 10.1007/s00493-015-3290-9
Abstract: In 1987, Kolaitis, Prömel and Rothschild proved that, for every fixed r∈ℕ, almost every n-vertex Kr+1-free graph is r-partite. In this paper we extend this result to all functions r = r(n) with r ⩽… read more here.
Keywords: graphs large; large cliques; typical structure; structure graphs ... See more keywords
Shock response prediction of the typical structure in spacecraft based on the hybrid modeling techniques
Sign Up to like & getrecommendations! Published in 2019 at "Aerospace Science and Technology"
DOI: 10.1016/j.ast.2019.04.018
Abstract: Abstract In order to solve the failure of traditional methods in the response prediction for the complex spacecraft under the wide frequency shock load, this paper provides the FE-SEA (Finite Element-Statistical Energy Analysis) hybrid modeling… read more here.
Keywords: typical structure; hybrid modeling; structure; shock response ... See more keywords
The Typical Structure of Sets With Small Sumset
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DOI: 10.1093/imrn/rnab021
Abstract: In this paper we determine the number and typical structure of sets of integers with bounded doubling. In particular, improving recent results of Green and Morris, and of Mazur, we show that the following holds… read more here.
Keywords: small sumset; lambda; sets small; structure sets ... See more keywords