1984
DOI: 10.1007/bf01139951
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Representation of a tree with p hanging vertices by 2p?3 elements of its distance matrix

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Cited by 9 publications
(16 citation statements)
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“…(B) Phylogenetic tree of the mature MGDG synthases. The tree was built using the cluster algorithm developed by Chumakov and Yushmanov [26], with MGDG synthase sequences shortened from their transit peptides.…”
Section: Resultsmentioning
confidence: 99%
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“…(B) Phylogenetic tree of the mature MGDG synthases. The tree was built using the cluster algorithm developed by Chumakov and Yushmanov [26], with MGDG synthase sequences shortened from their transit peptides.…”
Section: Resultsmentioning
confidence: 99%
“…1) is not only due to the presence of a transit peptide. Figure 1B shows a phylogenetic tree built with the cluster algorithm developed by Chumakov and Yushmanov [26], using MGDG synthases sequences, shortened from their putative transit peptides. Clearly, mature proteins of MGD A, MGD B and MGD C belong to two diverging groups within the MGDG synthase family of proteins.…”
Section: Resultsmentioning
confidence: 99%
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“…In general this appears a difficult question (indeed determining whether such a partial d-metric is realized by any tree is NP-hard [5]). However, some sufficient conditions (as well as some necessary conditions) for uniqueness to hold have been found, in [3,12], and more recently in [4], and [7]. In this paper we consider the uniqueness question for trees that are 'fully-resolved' (i.e.…”
Section: Introductionmentioning
confidence: 99%
“…A circular order has the property that for any integer k (modulo n ) all the branches on the path P ( x k , x k+ 1 ) between x k and x k+ 1 correspond to the left branch (or right branch if anti-clockwise). Makarenkov and Leclerc (1997, 2000) have shown that the concept of circular ordering is equivalent to the so-called Yushmanov’s ordering (Yushmanov, 1984). A simple ordering algorithm can be used to order the leaves.…”
Section: Circular Ordering = Ordering Of a Transformed Distance Matrixmentioning
confidence: 99%