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Enumerative combinatorics, graph theory, order theory, posets, matroids, designs and other discrete structures. It also includes algebraic, analytic and probabilistic combinatorics.

0 votes
0 answers
281 views

12 and 13-bit balanced Gray codes

I am trying to find a transition sequence for both 12 and 13 bit balanced Gray codes. I know there are some excellent papers on the topic of deriving these sequences available on the internet, but I r …
Erik's user avatar
  • 425
8 votes
2 answers
631 views

Integer strings such as: 4,1,1,3,4,2,3,2

I'm working on a project that uses strings of integers with the property that the numbers 1 though N are each used twice such that each pair of numbers X are X spaces apart. For example, in the strin …
Erik's user avatar
  • 425
2 votes
0 answers
90 views

Skolem sequence of quadrupets?

I recently read that there are solutions for Langford sequences of quadruplets (four of each number evenly spaced) when n=24. I'm curious if anyone has found Skolem sequences of quadruplets? Many than …
Erik's user avatar
  • 425
14 votes
3 answers
2k views

String of integers puzzle

I apologize for not have the math background to put this question in a more formal way. I'm looking to create a string of 796 letters (or integers) with certain properties. Basically, the string is …
Erik's user avatar
  • 425