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jack
  • Member for 9 years, 8 months
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comment
(In)finitely many natural numbers are not the sum or difference of two perfect powers
@znt Yes, there is. The question with difference only is an open problem. The question with difference or sum is not an open problem (open problems are not proposed at KoMaL).
asked
(In)finitely many natural numbers are not the sum or difference of two perfect powers
comment
Counting $K_4$ on two graphs sharing the same vertices
@BenBarber Thank you! It was simpler than I thought.
comment
Counting $K_4$ on two graphs sharing the same vertices
@Moritz Yes, the subgraphs are induced.
asked
Counting $K_4$ on two graphs sharing the same vertices
awarded
 Yearling
accepted
The sequence $a_{n+1}=\left\lceil \frac{-1+\sqrt{5}}{2}a_{n}-a_{n-1} \right\rceil$ is periodic
awarded
 Good Question
awarded
 Popular Question
awarded
 Nice Question
awarded
 Curious
comment
The sequence $a_{n+1}=\left\lceil \frac{-1+\sqrt{5}}{2}a_{n}-a_{n-1} \right\rceil$ is periodic
@ToddTrimble I agree MO is not for discussing contest problems. However, as explained above, Miklos Schweitzer is definitely not a conventional contest. Its problems are basically of research level.
awarded
 Editor
revised
The sequence $a_{n+1}=\left\lceil \frac{-1+\sqrt{5}}{2}a_{n}-a_{n-1} \right\rceil$ is periodic
added 915 characters in body
asked
The sequence $a_{n+1}=\left\lceil \frac{-1+\sqrt{5}}{2}a_{n}-a_{n-1} \right\rceil$ is periodic
accepted
Dividing the edges and diagonals of a polygon among disjoint sub-polygons
comment
Dividing the edges and diagonals of a polygon among disjoint sub-polygons
@ManfredWeis Yes, in problems of this kind one has to construct an example for the smallest $m$ and prove that the result does not hold for $m-1$.
comment
Dividing the edges and diagonals of a polygon among disjoint sub-polygons
@ManfredWeis There are no restrictions on $m$, except it has to be the smallest possible. So $m \leq n$ is also possible.
comment
Dividing the edges and diagonals of a polygon among disjoint sub-polygons
@FedorPetrov Unfortunately this one took place in the early 90s. I'm not aware of any organizer/participant of this contest.
asked
Dividing the edges and diagonals of a polygon among disjoint sub-polygons
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