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SUMMARY:Nicolás Sanhueza-Matamala (Czech Academy of Sciences)
DTSTART:20210614T140000Z
DTEND:20210614T150000Z
DTSTAMP:20260423T035416Z
UID:EPC/73
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/EPC/73/">Deg
 ree conditions for spanning structures in dense graphs</a>\nby Nicolás Sa
 nhueza-Matamala (Czech Academy of Sciences) as part of Extremal and probab
 ilistic combinatorics webinar\n\n\nAbstract\nA classic theorem of Dirac (1
 952) states that a graph in which every vertex is connected to at least ha
 lf of the other vertices contains a Hamilton cycle. Over the years\, this 
 result has been generalised in several ways. Some generalisations weaken t
 he assumptions (by not requiring every vertex to have large minimum degree
 )\, and other generalisations strengthen the outcome (by considering spann
 ing structures which are not cycles). We investigate the combination of th
 ese two directions\, and find cycles and other spanning structures under v
 arious degree conditions. Along the way\, we recover known results and obt
 ain many new ones. Joint work with Richard Lang.\n
LOCATION:https://researchseminars.org/talk/EPC/73/
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