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Volumn 146, Issue 1, 2005, Pages 51-73

Δ additive and Δ ultra-additive maps, Gromov's trees, and the Farris transform

Author keywords

hyperbolic metrics; Additive maps; Additive trees; Farris transform; Hyperbolicity; l approximations; T theory; Ultra additive maps; Ultrametrics

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; MATRIX ALGEBRA; RANDOM ERRORS; THEOREM PROVING; TREES (MATHEMATICS);

EID: 12444282676     PISSN: 0166218X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.dam.2003.01.003     Document Type: Article
Times cited : (21)

References (25)
  • 4
    • 0008058534 scopus 로고    scopus 로고
    • Recovering symbolically dated, rooted trees from ultrametric-like maps
    • S. Böcker, and A. Dress Recovering symbolically dated, rooted trees from ultrametric-like maps Adv. Math. 138 1998 105 125
    • (1998) Adv. Math. , vol.138 , pp. 105-125
    • Böcker, S.1    Dress, A.2
  • 5
    • 0002672089 scopus 로고
    • Notes on Gromov's hyperbolicity criterion for path metric spaces
    • E. Ghys World Scientific Singapore*et al.
    • B. Bowditch Notes on Gromov's hyperbolicity criterion for path metric spaces E. Ghys Group Theory from a Geometric Viewpoint 1991 World Scientific Singapore 64 167
    • (1991) Group Theory from A Geometric Viewpoint , pp. 64-167
    • Bowditch, B.1
  • 6
    • 0007315595 scopus 로고    scopus 로고
    • L∞-Approximation via subdominants
    • V. Chepoi, and B. Fichet l ∞ -Approximation via subdominants J. Math. Psychol. 44 2000 600 616
    • (2000) J. Math. Psychol. , vol.44 , pp. 600-616
    • Chepoi, V.1    Fichet, B.2
  • 7
    • 0001481555 scopus 로고
    • Trees, tight extensions of metric spaces, and the cohomological dimension of certain groups: A note on combinatorial properties of metric spaces
    • A. Dress Trees, tight extensions of metric spaces, and the cohomological dimension of certain groups a note on combinatorial properties of metric spaces Adv. Math. 53 1984 321 402
    • (1984) Adv. Math. , vol.53 , pp. 321-402
    • Dress, A.1
  • 8
    • 12444291514 scopus 로고
    • The mathematical basis of molecular phylogenetics
    • [Chapter 4]
    • A. Dress, The mathematical basis of molecular phylogenetics, in: Biocomputing Hypertext Coursebook, 1995 [Chapter 4] http://www.techfak.uni- bielefeld.de/bcd/Curric.
    • (1995) Biocomputing Hypertext Coursebook
    • Dress, A.1
  • 9
    • 31244438574 scopus 로고    scopus 로고
    • Proper gromov transforms of metrics are metrics
    • A. Dress, Proper gromov transforms of metrics are metrics, Applied Mathematics Letters, 15(8) (2002), 995-999.
    • (2002) Applied Mathematics Letters , vol.15 , Issue.8 , pp. 995-999
    • Dress, A.1
  • 11
    • 0000733969 scopus 로고    scopus 로고
    • Some variations on a theme by Buneman
    • A. Dress, K.T. Huber, and V. Moulton Some variations on a theme by Buneman Ann. Combin. 1 1997 339 352
    • (1997) Ann. Combin. , vol.1 , pp. 339-352
    • Dress, A.1    Huber, K.T.2    Moulton, V.3
  • 13
    • 0036608690 scopus 로고    scopus 로고
    • An explicit computation of the injective hull of certain finite metric spaces in terms of their associated Buneman complex
    • A. Dress, K.T. Huber, V. Moulton, An explicit computation of the injective hull of certain finite metric spaces in terms of their associated Buneman complex, Adv. Math. 168 (2002) 1-28.
    • (2002) Adv. Math. , vol.168 , pp. 1-28
    • Dress, A.1    Huber, K.T.2    Moulton, V.3
  • 16
    • 0024061028 scopus 로고    scopus 로고
    • Statistical geometry in sequence space: A method of quantitative sequence analysis
    • M. Eigen, R. Winkler-Oswatitsch, and A. Dress Statistical geometry in sequence space a method of quantitative sequence analysis Proc. Natl. Acad. Sci. USA 85 1998 5913 5917
    • (1998) Proc. Natl. Acad. Sci. USA , vol.85 , pp. 5913-5917
    • Eigen, M.1    Winkler-Oswatitsch, R.2    Dress, A.3
  • 17
    • 0029192324 scopus 로고
    • A robust model for finding optimal evolutionary trees
    • M. Farach, S. Kannan, and T. Warnow A robust model for finding optimal evolutionary trees Algorithmica 13 1995 155 179
    • (1995) Algorithmica , vol.13 , pp. 155-179
    • Farach, M.1    Kannan, S.2    Warnow, T.3
  • 18
    • 0002544425 scopus 로고
    • On the phenetic approach to vertebrate classification
    • Plenum New York
    • J.S. Farris On the phenetic approach to vertebrate classification Major Patterns in Vertebrate Evolution 1977 Plenum New York 823 950
    • (1977) Major Patterns in Vertebrate Evolution , pp. 823-950
    • Farris, J.S.1
  • 21
    • 51249194743 scopus 로고
    • Six theorems about metric spaces
    • J. Isbell Six theorems about metric spaces Comment. Math. Helv. 39 1964 65 74
    • (1964) Comment. Math. Helv. , vol.39 , pp. 65-74
    • Isbell, J.1
  • 22
    • 0000732090 scopus 로고
    • Evolution of protein molecules
    • Academic Press New York
    • T.H. Jukes, and C.R. Cantor Evolution of protein molecules Mammalian Protein Metabolism 1969 Academic Press New York 21 123
    • (1969) Mammalian Protein Metabolism , pp. 21-123
    • Jukes, T.H.1    Cantor, C.R.2
  • 23
    • 0022735230 scopus 로고
    • NP-Hard problems in hierarchical-tree clustering
    • M. Křivánek, and J. Morávek NP-Hard problems in hierarchical-tree clustering Acta Informatica 23 1986 207 241
    • (1986) Acta Informatica , vol.23 , pp. 207-241
    • Křivánek, M.1    Morávek, J.2
  • 24
    • 21844524668 scopus 로고
    • Minimum spanning trees for tree metrics: Abridgements and adjustments
    • B. Leclerc Minimum spanning trees for tree metrics abridgements and adjustments J. Classification 12 1995 311 323
    • (1995) J. Classification , vol.12 , pp. 311-323
    • Leclerc, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.