Subsequences shared by de-Bruijn sequences
摘要：We consider sequences shared by two or more de Bruijn sequences. Such sequences are related to cross-join pairs. For a de Bruijn sequence, the de Bruijn sequences sharing a longest subsequence with it correspond to cross-join pairs with maximum diameter. Moreover, we find two de Bruijn sequences sharing a subsequence with length 2^n-2 if n>4.