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比利时vs摩洛哥足彩 ,
university of california san diego

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math 269 - combinatorics

prof. tom bohman

carnegie mellon university

notes on 2-point concentration in the random graph

abstract:

we say that an integer-valued random variable $x$ defined on $g_{n,p}$ is concentrated on 2 values if there is a function $f(n)$ such that the probability that $x$ equals $f(n)$ or $ f(n)+1$ tends to 1 as $n$ goes to infinity. 2-point concentration has been a central issue in the study of random graphs from the beginning. in this talk we survey some recent progress in our understanding of this phenomenon, with an emphasis on the independence number and domination number of the random graph.

joint work with jakob hofstad, lutz warnke and emily zhu.

 

host: lutz warnke

march 5, 2024

2:00 pm

apm 7321
 

research areas

combinatorics

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