scholarly journals Optimal regularity of minimal graphs in the hyperbolic space

2016 ◽  
Vol 55 (1) ◽  
Author(s):  
Qing Han ◽  
Weiming Shen ◽  
Yue Wang
Keyword(s):  
Hyperbolic Space ◽  
Optimal Regularity ◽  
Minimal Graphs

scholarly journals Refined asymptotics for minimal graphs in the hyperbolic space

2017 ◽  
Vol 62 (2) ◽  
pp. 381-390 ◽  
Author(s):  
Weiming Shen ◽  
Yue Wang
Keyword(s):  
Hyperbolic Space ◽  
Minimal Graphs

Distance Distribution between Complex Network Nodes in Hyperbolic Space

2016 ◽  
Vol 25 (3) ◽  
pp. 223-236 ◽  
Author(s):  
Gregorio Alanis-Lobato ◽  
Miguel A. Andrade-Navarro ◽  
Keyword(s):  
Complex Network ◽  
Hyperbolic Space ◽  
Distance Distribution ◽  
Network Nodes

On Ramsey Minimal Graphs

10.37236/1184 ◽  
1994 ◽  
Vol 1 (1) ◽  
Author(s):  
Tomasz Łuczak
Keyword(s):  
Infinite Number ◽  
Probabilistic Argument ◽  
Minimal Graphs

An elementary probabilistic argument is presented which shows that for every forest $F$ other than a matching, and every graph $G$ containing a cycle, there exists an infinite number of graphs $J$ such that $J\to (F,G)$ but if we delete from $J$ any edge $e$ the graph $J-e$ obtained in this way does not have this property.

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