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Steiner Ratio of Biomolecular Structures

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Encyclopedia of Optimization

Article Outline

Introduction

The Steiner Ratio of a Metric Manifold

Evenly Spaced Consecutive Points -- Spanning and Steiner Trees

Steiner Trees

The Steiner Ratio Function

Concluding Remarks

References

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References

  1. Brandon C, Tooze J (1991) Introduction to Protein Structure. Garland, New York

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  2. Du D-Z, Smith WD (1996) Disproofs of Generalized Gilbert-Pollak Conjecture on the Steiner Ratio in Three or more Dimensions. J Comb Theory A74:115–130

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  3. MacGregor SJ (2006) Steiner Minimal Trees, Twist Angles, and the Protein Folding Problem. In: BIOMAT 2005, International Symposium on Mathematical and Computational Biology, World Scientific Co. Pte. Ltd., pp 299–326

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  4. Mondaini RP (2006) Steiner Trees as Intramolecular Networks of the Biomacromolecular Structures. In: BIOMAT 2005, International Symposium on Mathematical and Computational Biology, World Scientific, pp 327–342

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  5. Mondaini RP (2007) Euclidean Full Steiner Trees and the Modelling of Biomolecular Structures. In: BIOMAT 2006, International Symposium on Mathematical and Computational Biology, World Scientific Co. Pte. Ltd., pp 247–258

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  6. Protein Data Bank (2004) Education Section. http://www.rothamsted.bbsrc.ac.uk/notebook/courses/guide/aa.htm

  7. Voet D, Voet J (1990) Biochemistry. Wiley, New York

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Author information

Authors and Affiliations

  1. BIOMAT Institute for Advanced Studies of Biosystems, Federal University of Rio de Janeiro, Centre of Technology/COPPE, Rio de Janeiro, Brazil

    Rubem P. Mondaini

Authors
  1. Rubem P. Mondaini
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Editor information

Editors and Affiliations

  1. Department of Chemical Engineering, Princeton University, Princeton, NJ, 08544-5263, USA

    Christodoulos A. Floudas

  2. Center for Applied Optimization, Department of Industrial and Systems Engineering, University of Florida, Gainesville, FL, 32611-6595, USA

    Panos M. Pardalos

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© 2008 Springer-Verlag

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Mondaini, R.P. (2008). Steiner Ratio of Biomolecular Structures . In: Floudas, C., Pardalos, P. (eds) Encyclopedia of Optimization. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-74759-0_644

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