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

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math 269 - seminar in combinatorics

dr. sam spiro

rutgers university

the random turan problem

abstract:

let $g_{n,p}$ denote the random $n$-vertex graph obtained by including each edge independently and with probability $p$. given a graph $f$, let $\mathrm{ex}(g_{n,p},f)$ denote the size of a largest $f$-free subgraph of $g_{n,p}$. when $f$ is non-bipartite, the asymptotic behavior of $\mathrm{ex}(g_{n,p},f)$ is determined by breakthrough work done independently by conlon-gowers and by schacht, but the behavior for bipartite $f$ remains largely unknown.

we will discuss some recent developments that have been made for bipartite $f$, with a particular emphasis on the case of theta graphs.  based on joint work with gwen mckinley.

january 14, 2025

2:00 pm

apm 7321

research areas

combinatorics

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