Optimal design of spatial distribution networks

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 74, Issue 1, 2006, Pages

  Gastner, Michael T ^a,b   Newman, M E J ^b  

^a SANTA FE INSTITUTE   (United States)

^b UNIVERSITY OF MICHIGAN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AIRPORTS; APPROXIMATION THEORY; HOSPITALS; NUMERICAL ANALYSIS; POPULATION STATISTICS; REGRESSION ANALYSIS;

DENSITY-DEPENDENT MAP; POPULATION DENSITY; SPATIAL NETWORK;

STRUCTURAL DESIGN;

EID: 33746342799     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.74.016117     Document Type: Article

References (28)

1. R. Guimerà, S. Mossa, A. Turtschi, and L. A. N. Amaral, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 10.1073/pnas.0407994102 102, 7794 (2005).
2. D. J. Watts and S. H. Strogatz, Nature (London) NATUAS 0028-0836 10.1038/30918 393, 440 (1998).
3. N. Megiddo and K. Supowit, SIAM J. Comput. SMJCAT 0097-5397 13, 182 (1984).
4. Approximation Algorithms for NP-hard Problems, edited by, D. S. Hochbaum, (PWS, Boston, 1997).
5. J. Mycielski and W. Trzeciakowski, J. Regional Sci. ZZZZZZ 0022-4146 5, 59 (1963).
6. J. Viriakis, Ekistics 27, 362 (1969).
7. D. S. Palmer, Oper. Res. Q. ZZZZZZ 0030-3623 24, 121 (1973).
8. G. E. Stephan, Science SCIEAS 0036-8075 196, 523 (1977).
9. C. Cameron, S. Low, and D. Wei, in Proceedings of the 2002 ACM SIGMETRICS International Conference on Measurement and Modeling of Computer Systems (Marina del Rey, 2002), pp. 152-159.
10. S. M. Gusein-Zade, Geogr. Anal. GPHAA4 0016-7363 14, 246 (1982).
11. U. S. Census Bureau, Census 2000: Census of Population and Housing, DVD-ROM (2003).
12. M. T. Gastner, Ph.D. thesis, University of Michigan, Ann Arbor, MI (2005).
13. D. R. Vining, C.-H. Yang, and S.-T. Yeh, Science SCIEAS 0036-8075 205, 219 (1979).
14. M. E. J. Newman, Contemp. Phys. CTPHAF 0010-7514 46, 323 (2005).
15. M. L. Goldstein, S. A. Morris, and G. G. Yen, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2004-00316-5 41, 255 (2004).
16. A. Lösch, Die Räumliche Ordnung der Wirtschaft (Fischer, Jena, 1940).
17. W. Bunge, Discussion paper 3, University of Michigan Inter-University Community of Mathematical Geographers (1964).
18. S. M. Guseyn-Zade and V. S. Tikunov, Mapping Sciences and Remote Sensing 31, 49 (1994).
19. D. Dorling, Concepts and Techniques in Modern Geography (CATMOG) 59 (1996).
20. B. D. Dent, Cartography: Thematic Map Design, 5th ed. (WCB/McGraw-Hill, Boston, 1999).
21. W. Tobler, Ann. Assoc. Am. Geogr. AAAGAK 0004-5608 94, 58 (2004).
22. A. Getis, Economic Geography 39, 14 (1963).
23. G. Rushton, Papers of the Regional Science Association 28, 111 (1971).
24. M. T. Gastner and M. E. J. Newman, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 10.1073/pnas.0400280101 101, 7499 (2004).
25. W. Christaller, Die Zentralen Orte in Süddeutschland, 3rd ed. (Wissenschaftliche Buchgesellschaft, Darmstadt, 1980).
26. M. Barthélemy and A. Flammini, e-print physics/0601203.
27. J. W. Billheimer and P. Gray, Transp. Sci. TRSCBJ 0041-1655 7, 49 (1973).
28. M. Los and C. Lardinois, Transp. Res., Part B: Methodol. TRBMDY 0191-2615 16, 89 (1982).