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Magazine Problem 46
Prove each. The vertices of a dag can be topologically sorted. (Hint: Use induction.)
Problem 47
In \(1934, \mathrm{M}\) . H. Martin developed an algorithm for constructing a de Bruijn sequence for binary n-tuples. Begin with the \(n\) -bit word consisting of all O's. Successively append the larger of the bits 0 and 1 that does not lead to a duplicate \(n\) -tuple. Using this method, construct a de Bruijn sequence for each. Binary couplets
Problem 47
In \(1934,\) M. H. Martin developed an algorithm for constructing a de Bruijn sequence for binary \(n\) -tuples. Begin with the \(n\) -bit word consisting of all 0's. Successively append the larger of the bits 0 and 1 that does not lead to a duplicate \(n\) -tuple. Using this method, construct a de Bruijn sequence for each. Binary couplets
Problem 48
In \(1934,\) M. H. Martin developed an algorithm for constructing a de Bruijn sequence for binary \(n\) -tuples. Begin with the \(n\) -bit word consisting of all 0's. Successively append the larger of the bits 0 and 1 that does not lead to a duplicate \(n\) -tuple. Using this method, construct a de Bruijn sequence for each. Binary triplets
Problem 48
In \(1934, \mathrm{M}\) . H. Martin developed an algorithm for constructing a de Bruijn sequence for binary n-tuples. Begin with the \(n\) -bit word consisting of all O's. Successively append the larger of the bits 0 and 1 that does not lead to a duplicate \(n\) -tuple. Using this method, construct a de Bruijn sequence for each. Binary triplets
Problem 49
In \(1934, \mathrm{M}\) . H. Martin developed an algorithm for constructing a de Bruijn sequence for binary n-tuples. Begin with the \(n\) -bit word consisting of all O's. Successively append the larger of the bits 0 and 1 that does not lead to a duplicate \(n\) -tuple. Using this method, construct a de Bruijn sequence for each. Binary quadruplets
Problem 49
In \(1934,\) M. H. Martin developed an algorithm for constructing a de Bruijn sequence for binary \(n\) -tuples. Begin with the \(n\) -bit word consisting of all 0's. Successively append the larger of the bits 0 and 1 that does not lead to a duplicate \(n\) -tuple. Using this method, construct a de Bruijn sequence for each. Binary quadruplets
