Sunday 22 December 2024 |
Events for day: Wednesday 22 May 2024 |
14:00 - 15:00 Combinatorics and Computing Weekly Seminar Partitions into Pairs with Prescribed Differences School MATHEMATICS Consider the following two general questions: -For an Abelian group $A$ of order $2n$ and nonzero elements $d_1, ldots, d_n$ of $A$, is it always possible to partition $A$ into pairs such that the difference between the two elements of the $i$th pair is equal to $d_i$? -For an Abelian group $A$ of order $2n+1$ and nonzero elements $d_1, ldots, d_n$ of $A$, is it always possible to partition $Asetminus{0}$ into pairs such that the difference between the two elements of the $i$th pair is equal to $d_i$? In this ta ... |