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Table 1 q-gram profiles of strings x and y and q-gram distance \(D_{q}(x, y) = 8\) between them

From: Circular sequence comparison: algorithms and applications

(a) \(G_q(x)\)

 \(\texttt {AAA}\)

0

 \(\texttt {AGC}\)

0

 \(\texttt {AGT}\)

1

 \(\texttt {CCC}\)

0

 \(\texttt {CTA}\)

1

 \(\texttt {GAG}\)

1

 \(\texttt {GCG}\)

0

 \(\texttt {GGA}\)

1

 \(\texttt {GGG}\)

0

 \(\texttt {GTC}\)

1

 \(\texttt {TAG}\)

0

 \(\texttt {TCT}\)

1

 \(\texttt {TTC}\)

0

 \(\texttt {TTT}\)

0

(b) \(G_q(y)\)

 \(\texttt {AAA}\)

0

 \(\texttt {AGC}\)

1

 \(\texttt {AGT}\)

0

 \(\texttt {CCC}\)

0

 \(\texttt {CTA}\)

1

 \(\texttt {GAG}\)

0

 \(\texttt {GCG}\)

1

 \(\texttt {GGA}\)

0

 \(\texttt {GGG}\)

0

 \(\texttt {GTC}\)

0

 \(\texttt {TAG}\)

1

 \(\texttt {TCT}\)

1

 \(\texttt {TTC}\)

1

 \(\texttt {TTT}\)

0

(c) \(D_{q}(x, y)\)

 \(\texttt {AAA}\)

0

 \(\texttt {AGC}\)

1

 \(\texttt {AGT}\)

1

 \(\texttt {CCC}\)

0

 \(\texttt {CTA}\)

0

 \(\texttt {GAG}\)

1

 \(\texttt {GCG}\)

1

 \(\texttt {GGA}\)

1

 \(\texttt {GGG}\)

0

 \(\texttt {GTC}\)

1

 \(\texttt {TAG}\)

1

 \(\texttt {TCT}\)

0

 \(\texttt {TTC}\)

1

 \(\texttt {TTT}\)

0