Autor: Xu, Xiaodong - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: A Note on Upper Bounds for Some Generalized Folkman Numbers
Autorzy:: Xu, Xiaodong
Liang, Meilian
Radziszowski, Stanisław
Powiązania:: https://bibliotekanauki.pl/articles/31343184.pdf
Data publikacji:: 2019-11-01
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: Folkman number
Ramsey number
Opis:: We present some new constructive upper bounds based on product graphs for generalized vertex Folkman numbers. They lead to new upper bounds for some special cases of generalized edge Folkman numbers, including the cases F_e(K₃, K₄ − e; K₅) ≤ 27 and F_e(K₄ − e, K₄ − e; K₅) ≤ 51. The latter bound follows from a construction of a K₅-free graph on 51 vertices, for which every edge coloring with two colors contains a monochromatic K₄ − e.
Źródło:: Discussiones Mathematicae Graph Theory; 2019, 39, 4; 939-950
2083-5892
Pojawia się w:: Discussiones Mathematicae Graph Theory
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Surface Green’s function of a soft elastomer with the gravity effect
Autorzy:: Liang, Xiaodong
Liu, Junxiu
Xu, Peibao
Li, Kai
Powiązania:: https://bibliotekanauki.pl/articles/280502.pdf
Data publikacji:: 2020
Wydawca:: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:: surface Green’s function
gravity
distributed pressure
soft materials
neo-Hookean model
Opis:: Gravity can play a tremendous effect on deformation of rubberlike materials and biological soft tissues. In this paper, considering the gravity effect, we proposed a surface Green’s function of a soft elastomer based on the neo-Hookean model. The proposed surface Green’s function is applied to analyze the elastic deformation of a soft elastomer subjected to uniform pressure. The surface normal displacement of the soft elastomer is calculated and the results show that gravity has a large impact on the surface deformation of the elastomer. Generally, the surface normal displacement decreases with the increasing gravitational force.
Źródło:: Journal of Theoretical and Applied Mechanics; 2020, 58, 1; 35-44
1429-2955
Pojawia się w:: Journal of Theoretical and Applied Mechanics
Dostawca treści:: Biblioteka Nauki

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