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Neighbor-Net is a novel method for phylogenetic analysis that is currently being …

Biology Articles » Molecular Biology » Consistency of the Neighbor-Net Algorithm » Tables

Tables
- Consistency of the Neighbor-Net Algorithm

Table 1
List of cases in the proof of Lemma 4.7
Case
 i
 j
 Case
 i
 j
(i)
 i = 1
 1 ≤ j r
 (iv)
 1 i ≤ r
 r ≤ j n
(ii)
 i = 1
 r ≤ j n
 (v)
 r i n
 i ≤ j n
(iii)
 1 i r
 i ≤ j r


Table 2
Precomputed expressions used in the proof of Lemma 4.7
Case
dS(x1, xr)
(i)
 1
 1
 n - j
(ii)
 0
 0
 n - j
(iii)
 2
 0
 j - i + 1
(iv)
 1
 1
 j - i + 1
(v)
 0
 0
 j - i + 1
Case

(i)
 (j - 1)(n - j) + (r - j - 1)j
 j
(ii)
 (r - 2)(n - j)
 n - j
(iii)
 (j - i + 1)(n - 2j + 2i + r - 4)
 j - i + 1
(iv)
 (i - 2)(j - i + 1) + (r - i)(i - 1 + n - j)
 i - 1 + n - j
(v)
 (r - 2)(j - i + 1)
 j - i + 1

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