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Volumn 104, Issue 1-3, 2000, Pages 63-96

Euler circuits and DNA sequencing by hybridization

Author keywords

BEST theorem; Catalan number; Circle graph; Combinatorial enumeration; DNA sequencing; Euler circuit; Euler path; Hybridization; Interlace graph; Matrix tree theorem; Pairing

Indexed keywords


EID: 0347369498     PISSN: 0166218X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0166-218X(00)00190-6     Document Type: Article
Times cited : (31)

References (31)
  • 2
    • 0002005293 scopus 로고
    • Two moments suffice for Poisson approximations: The Chen-Stein method
    • Arratia R., Goldstein L., Gordon L. Two moments suffice for Poisson approximations: the Chen-Stein method. Ann. Probab. 17:1989;9-25.
    • (1989) Ann. Probab. , vol.17 , pp. 9-25
    • Arratia, R.1    Goldstein, L.2    Gordon, L.3
  • 3
    • 0029792949 scopus 로고    scopus 로고
    • Poisson process approximation for sequence repeats, and sequencing by hybridization
    • Arratia R., Martin D., Reinert G., Waterman M.S. Poisson process approximation for sequence repeats, and sequencing by hybridization. J. Comput. Biol. 3:1996;425-463.
    • (1996) J. Comput. Biol. , vol.3 , pp. 425-463
    • Arratia, R.1    Martin, D.2    Reinert, G.3    Waterman, M.S.4
  • 4
    • 0347127084 scopus 로고    scopus 로고
    • Poisson process approximation for repeats in one sequence and its application to sequencing by hybridization
    • D. Hirshberg, & G. Myers. Proceedings of the 7th Annual Symposium on Combinatorial Pattern Matching. Springer
    • Arratia R., Reinert G. Poisson process approximation for repeats in one sequence and its application to sequencing by hybridization. Hirshberg D., Myers G. Proceedings of the 7th Annual Symposium on Combinatorial Pattern Matching. Springer Lecture Notes in Computer Science. Vol. 1075:1996;209-219 Springer.
    • (1996) Springer Lecture Notes in Computer Science , vol.1075 , pp. 209-219
    • Arratia, R.1    Reinert, G.2
  • 6
    • 0345865689 scopus 로고
    • Non-sexist solution of the menage problem
    • Bogart K.P., Doyle P. Non-sexist solution of the menage problem. Amer. Math. Mon. 93(7):1986;514-518.
    • (1986) Amer. Math. Mon. , vol.93 , Issue.7 , pp. 514-518
    • Bogart, K.P.1    Doyle, P.2
  • 7
    • 85012603843 scopus 로고
    • A probabilistic proof of an asymptotic formula for the number of labelled regular graphs
    • Bollobás B. A probabilistic proof of an asymptotic formula for the number of labelled regular graphs. European J. Combin. 1:1980;311-316.
    • (1980) European J. Combin. , vol.1 , pp. 311-316
    • Bollobás, B.1
  • 11
    • 0040179481 scopus 로고
    • Über kombinatorische Topologie
    • Dehn M. Über kombinatorische Topologie. Acta Math. 67:1936;123-168.
    • (1936) Acta Math. , vol.67 , pp. 123-168
    • Dehn, M.1
  • 12
    • 84991644857 scopus 로고
    • A characterization of circle graphs
    • de Fraysseix H. A characterization of circle graphs. European J. Combin. 5:1984;223-238.
    • (1984) European J. Combin. , vol.5 , pp. 223-238
    • De Fraysseix, H.1
  • 13
    • 0028457460 scopus 로고
    • The probability of unique solutions of sequencing by hybridization
    • Dyer M., Frieze A., Suen S. The probability of unique solutions of sequencing by hybridization. J. Comput. Biol. 1:1994;105-110.
    • (1994) J. Comput. Biol. , vol.1 , pp. 105-110
    • Dyer, M.1    Frieze, A.2    Suen, S.3
  • 14
    • 0002959711 scopus 로고
    • Queues, stacks and graphs
    • Z. Kohavi, & A. Paz. New York: Academic Press
    • Even S., Itai A. Queues, stacks and graphs. Kohavi Z., Paz A. Theory of Machines and Computations. 1971;71-86 Academic Press, New York.
    • (1971) Theory of Machines and Computations , pp. 71-86
    • Even, S.1    Itai, A.2
  • 15
    • 0024701784 scopus 로고
    • Recognizing circle graphs in polynomial time
    • Gabor C.P., Supowit K.J., Hsu W.-L. Recognizing circle graphs in polynomial time. J. ACM. 36:1989;435-473.
    • (1989) J. ACM , vol.36 , pp. 435-473
    • Gabor, C.P.1    Supowit, K.J.2    Hsu, W.-L.3
  • 16
    • 0346479508 scopus 로고
    • Teubner, Stuttgart 282-286
    • C.F. Gauss, Werke, Vol. 8, Teubner, Stuttgart, 1900, pp. 272, 282-286.
    • (1900) Werke , vol.8 , pp. 272
    • Gauss, C.F.1
  • 18
    • 0001334161 scopus 로고    scopus 로고
    • Graph traversals, genes and matroids: An efficient case of the travelling salesman problem
    • Gusfield D., Karp R., Wang L., Stelling P. Graph traversals, genes and matroids: an efficient case of the travelling salesman problem. Discrete Appl. Math. 88:1998;167-180.
    • (1998) Discrete Appl. Math. , vol.88 , pp. 167-180
    • Gusfield, D.1    Karp, R.2    Wang, L.3    Stelling, P.4
  • 19
    • 0346496691 scopus 로고    scopus 로고
    • Multiplex sequencing by hybridization
    • to appear
    • E. Hubbell, Multiplex sequencing by hybridization, J. Comput. Biol. (1999) to appear.
    • (1999) J. Comput. Biol.
    • Hubbell, E.1
  • 21
    • 4944257625 scopus 로고
    • Über die Auflösung der Gleichungen, auf welche man bei der Untersuchung der linearen Verteilung galvanischer Ströme geführt wird
    • Kirchoff G. Über die Auflösung der Gleichungen, auf welche man bei der Untersuchung der linearen Verteilung galvanischer Ströme geführt wird. Ann. Phys. Chem. 72:1847;497-508.
    • (1847) Ann. Phys. Chem. , vol.72 , pp. 497-508
    • Kirchoff, G.1
  • 22
    • 0029196256 scopus 로고
    • DNA physical mapping and alternating Eulerian circuits in colored graphs
    • Pevzner P. DNA physical mapping and alternating Eulerian circuits in colored graphs. Algorithmica. 13:1995;77-105.
    • (1995) Algorithmica , vol.13 , pp. 77-105
    • Pevzner, P.1
  • 25
    • 0007228595 scopus 로고
    • On unicursal paths in a network of degree 4
    • Smith C.A.B., Tutte W.T. On unicursal paths in a network of degree 4. Amer. Math. Mon. 48:1941;233-237.
    • (1941) Amer. Math. Mon. , vol.48 , pp. 233-237
    • Smith, C.A.B.1    Tutte, W.T.2
  • 26
    • 38149146952 scopus 로고
    • Recognition of circle graphs
    • Spinrad J. Recognition of circle graphs. J. Algorithms. 16:1994;264-282.
    • (1994) J. Algorithms , vol.16 , pp. 264-282
    • Spinrad, J.1
  • 27
    • 0040773758 scopus 로고
    • Über ein topologisches Problem von Gauss
    • Sz.-Nagy J.V. Über ein topologisches Problem von Gauss. Math. Zeitschrift. 26:1927;579-592.
    • (1927) Math. Zeitschrift , vol.26 , pp. 579-592
    • Sz.-Nagy, J.V.1
  • 28
    • 84946454140 scopus 로고
    • The dissection of equilateral triangles into equilateral triangles
    • Tutte W.T. The dissection of equilateral triangles into equilateral triangles. Proc. Cambridge Philos. Soc. 44:1948;463-482.
    • (1948) Proc. Cambridge Philos. Soc. , vol.44 , pp. 463-482
    • Tutte, W.T.1
  • 29
    • 0027113212 scopus 로고
    • Approximate string-matching with q-grams and maximal matches
    • Ukkonen E. Approximate string-matching with q-grams and maximal matches. Theoret. Comput. Sci. 92:1992;191-211.
    • (1992) Theoret. Comput. Sci. , vol.92 , pp. 191-211
    • Ukkonen, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.