Table 2 q-gram profiles of strings \(x_1\), \(x_2\), \(y_1\), and \(y_2\); q-gram distance between \(x_1\) and \(y_1\); and q-gram distance between \(x_2\) and \(y_2\), giving \(D_{\beta ,q}(x, y) = 8\)
From: Circular sequence comparison: algorithms and applications
| (a) \(G_q(x_1)\) | |
| \(\texttt {AAA}\) | 0 |
| \(\texttt {AGC}\) | 0 |
| \(\texttt {AGT}\) | 0 |
| \(\texttt {CCC}\) | 0 |
| \(\texttt {CTA}\) | 0 |
| \(\texttt {GAG}\) | 1 |
| \(\texttt {GCG}\) | 0 |
| \(\texttt {GGA}\) | 1 |
| \(\texttt {GGG}\) | 0 |
| \(\texttt {GTC}\) | 0 |
| \(\texttt {TAG}\) | 0 |
| \(\texttt {TCT}\) | 0 |
| \(\texttt {TTC}\) | 0 |
| \(\texttt {TTT}\) | 0 |
| (b) \(G_q(y_1)\) | |
| \(\texttt {AAA}\) | 0 |
| \(\texttt {AGC}\) | 0 |
| \(\texttt {AGT}\) | 0 |
| \(\texttt {CCC}\) | 0 |
| \(\texttt {CTA}\) | 0 |
| \(\texttt {GAG}\) | 0 |
| \(\texttt {GCG}\) | 0 |
| \(\texttt {GGA}\) | 0 |
| \(\texttt {GGG}\) | 0 |
| \(\texttt {GTC}\) | 0 |
| \(\texttt {TAG}\) | 0 |
| \(\texttt {TCT}\) | 1 |
| \(\texttt {TTC}\) | 1 |
| \(\texttt {TTT}\) | 0 |
| (c) \(D_{q}(x_1, y_1)\) | |
| \(\texttt {AAA}\) | 0 |
| \(\texttt {AGC}\) | 0 |
| \(\texttt {AGT}\) | 0 |
| \(\texttt {CCC}\) | 0 |
| \(\texttt {CTA}\) | 0 |
| \(\texttt {GAG}\) | 1 |
| \(\texttt {GCG}\) | 0 |
| \(\texttt {GGA}\) | 1 |
| \(\texttt {GGG}\) | 0 |
| \(\texttt {GTC}\) | 0 |
| \(\texttt {TAG}\) | 0 |
| \(\texttt {TCT}\) | 1 |
| \(\texttt {TTC}\) | 1 |
| \(\texttt {TTT}\) | 0 |
| (d) \(G_q(x_2)\) | |
| \(\texttt {AAA}\) | 0 |
| \(\texttt {AGC}\) | 0 |
| \(\texttt {AGT}\) | 0 |
| \(\texttt {CCC}\) | 0 |
| \(\texttt {CTA}\) | 1 |
| \(\texttt {GAG}\) | 0 |
| \(\texttt {GCG}\) | 0 |
| \(\texttt {GGA}\) | 0 |
| \(\texttt {GGG}\) | 0 |
| \(\texttt {GTC}\) | 0 |
| \(\texttt {TAG}\) | 0 |
| \(\texttt {TCT}\) | 1 |
| \(\texttt {TTC}\) | 0 |
| \(\texttt {TTT}\) | 0 |
| (e) \(G_q(y_2)\) | |
| \(\texttt {AAA}\) | 0 |
| \(\texttt {AGC}\) | 1 |
| \(\texttt {AGT}\) | 0 |
| \(\texttt {CCC}\) | 0 |
| \(\texttt {CTA}\) | 0 |
| \(\texttt {GAG}\) | 0 |
| \(\texttt {GCG}\) | 1 |
| \(\texttt {GGA}\) | 0 |
| \(\texttt {GGG}\) | 0 |
| \(\texttt {GTC}\) | 0 |
| \(\texttt {TAG}\) | 0 |
| \(\texttt {TCT}\) | 0 |
| \(\texttt {TTC}\) | 0 |
| \(\texttt {TTT}\) | 0 |
| (f) \(D_{q}(x_2, y_2)\) | |
| \(\texttt {AAA}\) | 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 |
| \(\texttt {TAG}\) | 0 |
| \(\texttt {TCT}\) | 1 |
| \(\texttt {TTC}\) | 0 |
| \(\texttt {TTT}\) | 0 |