Table 1 Analysis of random and low-repeat â„“-mers
From: Meta-aligner: long-read alignment based on genome statistics
| Â | (a) | Â | ||||||
| Â | Number of disjoint random â„“-mers within a read | Number of disjoint random â„“-mers within a read | ||||||
| Â | for L=400 | for L=1000 | ||||||
|  | 0 | 1 | between 1 and ≈L/ℓ | ≈L/ℓ | 0 | 1 | between 1 and ≈L/ℓ | ≈L/ℓ |
(d,â„“)=(0,20) | 0.9 % | 0.7 % | 69.1 % | 29 % | 0.6 % | 0.19 % | 85.6 % | 13.5 % |
(d,â„“)=(0,40) | 0.7 % | 0.4 % | 39.4 % | 59.1 % | 0.54 % | 0.17 % | 62.6 % | 36.68 % |
(d,â„“)=(3,40) | 6.3 % | 8 % | 84.8 % | 0.8 % | 2.26 % | 1.49 % | 96.2 % | 0.04 % |
(d,â„“)=(0,80) | 0.7 % | 0.3 % | 4.2 % | 94.8 % | 0.49 % | 0.17 % | 8.2 % | 91.1 % |
| Â | (b) | Â | ||||||
| Â | Number of low-repeat â„“-mer within a read | Â | Number of low-repeat â„“-mer within a read | Â | ||||
| Â | for d=0 | Â | for d=3 | Â | ||||
\(\mathcal {L}_{s,1}\) | 0 | between 1 and 80 | between 81 and ≈L/ℓ |  | 0 | between 1 and 80 | between 81 and ≈L/ℓ |  |
5 | 56.73% | 11.94% | 30.98% | Â | 32.01% | 30.97% | 36.88% | Â |
10 | 54.46% | 4.9% | 4.9% | Â | 26.21% | 19.81% | 53.83% | Â |
20 | 52.75% | 0.08% | 46.81% | Â | 21.90% | 4.06% | 73.89% | Â |
40 | 52.75% | 0.08% | 46.81% | Â | 21.69% | 0.07% | 78.09% | Â |
| Â | (c) | Â | ||||||
| Â | Number of low-repeat â„“-mer within a read | Â | Number of low-repeat â„“-mer within a read | Â | ||||
| Â | for d=0 | Â | for d=3 | Â | ||||
\(\mathcal {L}_{s,1}\) | 0 | between 1 and 80 | between 81 and ≈L/ℓ |  | 0 | between 1 and 80 | between 81 and ≈L/ℓ |  |
5 | 52.31% | 12.28% | 35.08% | Â | 17.18% | 20.15% | 62.59% | Â |
10 | 50.22% | 4.91% | 44.54% | Â | 14.07% | 11.67% | 74.18% | Â |
20 | 48.64% | 0.1% | 50.93% | Â | 11.75% | 2.24% | 85.93% | Â |
40 | 48.64% | 0.1% | 50.93% | Â | 11.64% | 0.04% | 88.23% | Â |