Steiner Trees and 3-D Macromolecular Conformation
Published Online:1 Nov 2004https://doi.org/10.1287/ijoc.1040.0101
References
- Molecular Biology of the Cell (1983) 2nd ed.(Garland Publishing, New York) Google Scholar
- Polynomial time approximation scheme for Euclidean traveling salesman and other geometric problems. J. ACM (1998) 45:753–782Crossref, Google Scholar
- Introduction to Protein Structure (1991) (Gabriel Publishing, New York) Google Scholar
- Chembuilder Version 1.1. Interactive Simulations (1997) (San Diego, CA)Google Scholar
- An energetic evaluation of a “Smith” collagen microfibril model. J. Protein Chemistry (1991) 10:535–552Crossref, Google Scholar
- , Lander E. Folding the sheets: Using computational methods to predict the structure of proteins. Calculating the Secrets of Life (1995) (National Academy of Sciences, Washington, D.C.) 236–271Google Scholar
- Creighton T. E.Protein Folding (1992) (Freeman and Company, New York) Google Scholar
- The Structure and Action of Proteins (1969) (Harper and Row, New York) Google Scholar
- Additivity principles in biochemistry. J. Biological Chemistry (1997) 272:701–704Crossref, Google Scholar
- On Steiner ratio conjectures. Ann. Oper. Res. (1991) 33:437–449Crossref, Google Scholar
- A proof of the Gilbert-Pollak conjecture on the Steiner ratio. Algorithmica (1992) 7:121–135Crossref, Google Scholar
- Steiner minimal trees on zig-zag lines. Trans. Amer. Math Soc. (1982) 278:149–156Crossref, Google Scholar
- Conformational energy studies of beta-sheets of model silk fibroin peptides. I. sheets of poly(Ala-Gly) chains. Biopolymers (1991) 31:1529–1541Crossref, Google Scholar
- Computers and Intractability: A Guide to the Theory of NP-Completeness (1979) (W. H. Freeman and Company, San Francisco, CA) Google Scholar
- The complexity of computing Steiner minimal trees. SIAM J. Appl. Math (1977) 32:835–859Crossref, Google Scholar
- Private communication. (1994) June 9, 1994Google Scholar
- Steiner minimal trees. SIAM J. Appl. Math. (1968) 16:1–29Crossref, Google Scholar
- The first compound with a helical chain of face-sharing tetrahedra as a structural element. Angewandte Chemie Internat. Ed. English (1994) 33:1841–1842Crossref, Google Scholar
- The Steiner Problem (1992) (North-Holland Elsevier Scientific Publishers, Amsterdam, The Netherlands) Google Scholar
- Molecular Modeling—Principles and Applications (1996) 2nd ed.(Prentice-Hall, New York) Google Scholar
- Calculation of the structures of collagen models. Role of interchain interactions in determining the triple-helical coiled-coil conformation. I. Poly(glycyl-prolyl-prolyl). J. Polymer Sci., Polymer Symp. (1976) 54:171–200Google Scholar
- Order, frustration, and defects in liquids and glasses. Phys. Rev. (1983) B28:5515–5525Crossref, Google Scholar
- Protein Data Bank (2004) . Education Section. http://www.rothamsted.bbsrc.ac.uk/notebook/courses/guide/aa.htmGoogle Scholar
- Protein Explorer> (2004) . http://molvis.sdsc.edu/protexpl/frntdoor.htmGoogle Scholar
- Automation and determination of 3-D protein structure. (1994) . Working paper MCS-P417-0294. Mathematics and Computer Science Division, Argonne National Laboratory, Argonne, ILGoogle Scholar
- Euclidean Steiner minimal trees, minimum energy configurations, and the embedding problem of weighted graphs in E3. Discrete Appl. Math. (1996) 71:187–215Crossref, Google Scholar
- An O(N2) heuristic for the Steiner minimal tree problem in E3. Networks (1995) 25:273–289Crossref, Google Scholar
- How to find Steiner minimal trees in Euclidean d-space. Algorithmica (1992) 7:137–177Crossref, Google Scholar
- On the Steiner ratio in 3-space. J. Combin. Theory, Series A (1995) 69:301–332Crossref, Google Scholar
- Sculpting proteins interactively: Continual energy minimization embedded in a graphical modeling system. Protein Sci. (1994) 3:198–210Crossref, Google Scholar
- Biochemistry (1990) (Wiley, New York) Google Scholar
- Mathematica (1996) 3rd ed.(Cambridge, New York) Google Scholar
- A helical face-sharing tetrahedron chain with irrational twist, stella quadrangula, and related matters. J. Amer. Chemical Soc. (1990) 112:3784–3791Crossref, Google Scholar

