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DTSTART;TZID=America/Toronto:20231127T113000
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URL:https://uwaterloo.ca/combinatorics-and-optimization/events/algebraic-gr
 aph-theory-sarobidy-razafimahatratra
SUMMARY:Algebraic Graph Theory - Sarobidy Razafimahatratra
CLASS:PUBLIC
DESCRIPTION:TITLE: On the intersection density of transitive groups with de
 gree 3p\n\nSPEAKER:\n Sarobidy Razafimahatratra\n\nAFFILIATION:\n Universi
 ty of Primorska\n\nLOCATION:\n Please contact Sabrina Lato for Zoom link
 .\n\nABSTRACT: Given a finite transitive group $G\\leq\n\\operatorname{Sym
 }(\\Omega)$\, a subset $\\mathcal{F}\\subset G$ is\nintersecting if any tw
 o elements of $\\mathcal{F}$ agree on some\nelements of $\\Omega$. The \\e
 mph{intersection density} of $G$ is the\nrational number $\\rho(G)$ given 
 by the maximum ratio\n$\\frac{|\\mathcal{F}|}{|G|/|\\Omega|}$\, where $\\m
 athcal{F}$ runs through\nall intersecting sets of $G$.\n\nMost results on 
 the intersection density focus on particular families\nof transitive group
 s. One can look at problems on the intersection\ndensity from another pers
 pective. Given an integer $n\\geq 3$\, we would\nlike to determine the pos
 sible intersection densities of transitive\ngroups of degree $n$. This pro
 blem turns out to be extremely difficult\neven in the case where $n$ is a 
 product of two primes.
DTSTAMP:20260404T213641Z
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