We give a characterization of vertex-monotone properties with sharp thresholds in a Poisson random geometric graph or hypergraph. As an application we show that a geometric model of random k-SAT exhibits a sharp threshold for satisfiability
Let P be a Poisson process of intensity one in a square Sn of area n. We construct a random geometri...
We determine the probability thresholds for the existence of monotone paths, of finite and infinite ...
We determine the probability thresholds for the existence of monotone paths, of finite and infinite ...
Random geometric graphs result from taking n uniformly distributed points in the unit cube, [0, 1] d...
Random geometric graphs result from taking n uniformly distributed points in the unit cube, [0, 1] ...
In this thesis, we study a recently proposed model of random graphs that exhibit properties which ar...
In the 1950s, random graphs appeared for the first time in a result of the prolific hungarian mathem...
grantor: University of TorontoWe study threshold phenomena pertaining to the colourability...
grantor: University of TorontoWe study threshold phenomena pertaining to the colourability...
A sharp threshold for van der Waerden's theorem in random subsets, Discrete Analysis, 2016:7, 19 pp....
Let P be a Poisson process of intensity 1 in a square Sn of area n. We construct a random geometric ...
Let P be a Poisson process of intensity 1 in a square Sn of area n. We construct a random geometric ...
AbstractLet P be a Poisson process of intensity 1 in a square Sn of area n. We construct a random ge...
It is shown that every non-trivial monotone increasing property of subsets of a set has a threshold ...
We determine the probability thresholds for the existence of monotone paths, of finite and infinite ...
Let P be a Poisson process of intensity one in a square Sn of area n. We construct a random geometri...
We determine the probability thresholds for the existence of monotone paths, of finite and infinite ...
We determine the probability thresholds for the existence of monotone paths, of finite and infinite ...
Random geometric graphs result from taking n uniformly distributed points in the unit cube, [0, 1] d...
Random geometric graphs result from taking n uniformly distributed points in the unit cube, [0, 1] ...
In this thesis, we study a recently proposed model of random graphs that exhibit properties which ar...
In the 1950s, random graphs appeared for the first time in a result of the prolific hungarian mathem...
grantor: University of TorontoWe study threshold phenomena pertaining to the colourability...
grantor: University of TorontoWe study threshold phenomena pertaining to the colourability...
A sharp threshold for van der Waerden's theorem in random subsets, Discrete Analysis, 2016:7, 19 pp....
Let P be a Poisson process of intensity 1 in a square Sn of area n. We construct a random geometric ...
Let P be a Poisson process of intensity 1 in a square Sn of area n. We construct a random geometric ...
AbstractLet P be a Poisson process of intensity 1 in a square Sn of area n. We construct a random ge...
It is shown that every non-trivial monotone increasing property of subsets of a set has a threshold ...
We determine the probability thresholds for the existence of monotone paths, of finite and infinite ...
Let P be a Poisson process of intensity one in a square Sn of area n. We construct a random geometri...
We determine the probability thresholds for the existence of monotone paths, of finite and infinite ...
We determine the probability thresholds for the existence of monotone paths, of finite and infinite ...
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