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SUMMARY:Group-harmonious labellings of trees - Alexey Pokrovskiy (UCL)
DTSTART:20260312T143000Z
DTEND:20260312T153000Z
UID:TALK245302@talks.cam.ac.uk
CONTACT:103978
DESCRIPTION:Consider an order n abelian group G and a tree T on n vertices
 . When is it possible to (bijectively) label V(T) by G do that along all e
 dges xy\, the sums x+y are distinct? There are various motivations for stu
 dying this question\, such as the Harmonious Labelling Conjecture of Graha
 m-Sloane\, which asks something related for cyclic G. This talk will be ab
 out giving a necessary and sufficient condition for the labelling to be po
 ssible in the case of arbitrary G and large\, bounded degree T.\nJoint wor
 k with Alp Müyesser.
LOCATION:MR13 (EL.05)
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