Dominance and separability in posets, their application to isoelectronic species with equal total nuclear charge

Journal of Mathematical Chemistry

Volumn 44, Issue 2, 2008, Pages 577-602

  Restrepo, Guillermo ^a,b   Brüggemann, Rainer ^c  

^a UNIVERSIDAD DE PAMPLONA   (Colombia)

^b UNIVERSITY OF BAYREUTH   (Germany)

^c LEIBNIZ INSTITUTE OF FRESHWATER ECOLOGY AND INLAND FISHERIES   (Germany)

Author keywords

Born Oppenheimer energies; Partially ordered sets; Posets; Ranking

Indexed keywords

EID: 48349139139     PISSN: 02599791     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10910-007-9331-x     Document Type: Article

References (63)

1. Brüggemann R., Carlsen L. (2006) Partial Order in Environmental Sciences and Chemistry. Springer, Berlin
2. Rival I. (1989) Algorithms and Order. Kluwer, Dordrecht
3. P. Annoni, Environ. doi: 10.1007/s10651-007-0041-0
4. D.L. Solomon, in Ecological Diversity in Theory and Practice, ed. by J.F. Grassle, G.P. Patil, W. Smith, C. Taillie (International Co-operative Publishing House, Fairland, 1979), pp. 29-35
5. Ruch E. (1975). Theoret. Chim. Acta (Berl.) 38: 167
6. Ruch E., Mead A. (1976). Theoret. Chim. Acta (Berl.) 41: 95
7. Ruch E., Lesche B. (1978). J. Chem. Phys. 69: 393
8. Matsen F.A., Klein D.J. (1971). J. Phys. Chem. 75: 1860
9. Ruch E., Schönhofer A. (1970). Theoret. Chim. Acta (Berl.) 19: 225
10. Ruch E. (1972). Accounts Chem. Res. 5: 49
11. Gutman I., Randić M. (1977). Chem. Phys. Lett. 47: 15
12. Randić M. (1978). Chem. Phys. Lett. 55: 547
13. Randić M. (1990). J. Math. Chem. 4: 157
14. Randić M. (1992). J. Chem. Educ. 69: 713
15. El-Basil S., Randić M. (1992). Adv. Quantum Chem. 24: 239
16. Halfon E., Reggiani M.G. (1986). Environ. Sci. Technol. 20: 1173
17. Brüggemann R., Münzer B. (1993). Chemosphere 27: 1729
18. Brüggemann R., Münzer B., Halfon E. (1994). Chemosphere 28: 863
19. Brüggemann R., Bartel H.G. (1999). J. Chem. Inf. Comput. Sci. 39: 211
20. Pudenz S., Brüggemann R., Luther B., Kaune A., Kreimes K. (2000). Chemosphere 40: 1373
21. Voigt K., Gasteiger J., Brüggemann R. (2000). J. Chem. Inf. Comput. Sci. 40: 44
22. Brüggemann R., Halfon E., Welzl G., Voigt K., Steinberg C.E.W. (2001). J. Chem. Inf. Comput. Sci. 41: 918
23. Lerche D., Brüggemann R., Sørensen P., Carlsen L., Nielsen O.J. (2002). J. Chem. Inf. Comput. Sci. 42: 1086
24. Lerche D., Sørensen P., Brüggemann R. (2003). J. Chem. Inf. Comput. Sci. 43: 1471
25. Brüggemann R., Welzl G., Voigt K. (2003). J. Chem. Inf. Comput. Sci. 43: 1771
26. Brüggemann R., Sørensen P.B., Lerche D., Carlsen L. (2004). J. Chem. Inf. Comput. Sci. 44: 618
27. Brüggemann R., Restrepo G., Voigt K. (2006). J. Chem. Inf. Comput. Sci. 46: 894
28. Restrepo G., R. Brüggemann, in Recent Progress in Computational Sciences and Engineering, ed. by T. Simos, G. Maroulis, (VSP, Leiden, 2006), pp. 1386-1389
29. Restrepo G., Brüggemann R., Voigt K. (2007). Croat. Chem. Acta. 80: 261
30. Gabarro-Arpa J. (2007). J. Math. Chem. 42: 691
31. Dias J.R. (1990). J. Math. Chem. 4: 17
32. Daza E.E., Bernal A. (2005). J. Math. Chem. 38: 247
33. Bernal A., Ordenamientos moleculares basados en la energía (BSc Thesis, Universidad Nacional de Colombia, Bogotá, 2004)
34. Papers in MATCH Commun. Math. Comput. Chem. 42,7 (2000); 54, 489 (2005)
35. Klein D.J. (1995). J. Math. Chem. 18: 321
36. Klein D.J., Babić D. (1997). J. Chem. Inf. Comput. Sci. 37: 656
37. Rival I., Zaguia N. (1986). Congressus numerantium 55: 199
38. Brightwell G., Winkler P. (1991). Order 8: 225
39. Trotter W.T. (1992) Combinatorics and Partially Ordered Sets, Dimension Theory. The Johns Hopkins University Press, Baltimore
40. Restrepo G., Brüggemann R. (2005). WSEAS Trans. Inf. Sci. Appl. 2: 976
41. Hedetniemi S.T., Laskar R.C. (1991) Topics on Domination. North-Holland, Amsterdam
42. Rosenbaum P.R. (1995) Observational Studies. Springer, New York
43. Rosenbaum P.R. (1991). Ann. Stat. 19: 1091
44. O. Gefeller, L. Pralle, in Nonrandomized Comparative Clinical Studies. Proceedings of the International Conference on Nonrandomized Comparative Clinical Studies, 10-11 April 1997, Heidelberg, Germany, ed. by U. Abel, A. Koch (Symposion Publishing, Düsseldorf, 1997).
45. Mezey P.G. (1985). J. Am. Chem. Soc. 107: 3100
46. Daza E.E., Villaveces J.L. (1994). J. Chem. Inf. Comput. Sci. 34: 309
47. Thirring W. (1975). Acta Phys. Aust. Suppl. 14: 631
48. Narnhofer H., Thirring W. (1975). Acta Phys. Aust. 41: 281
49. Lieb E.H., Simon B. (1978). J. Phys. B. 11: 1537
50. Mezey P.G. (1981). Theor. Chim. Acta. 59: 321
51. Mezey P.G. (1982). Int. J. Quant. Chem. 22: 101
52. Mezey P.G. (1982). Mol. Phys. 47: 121
53. Mezey P.G. (1984). J. Chem. Phys. 80: 5055
54. G. Restrepo, W. Weckert, R. Brüggemann, S. Gerstmann and H. Frank, submitted to Environ. Sci. Technol.
55. De Baets B., De Meyer H. (2003). Soft Comput. 7: 210
56. De Baets B., De Meyer H. (2003). Inform. Sci. 152: 167
57. De Meyer H., Naessens H., De Baets B. (2004). Eur. J. Oper. Res. 155: 226
58. De Baets B., De Meyer H., De Schuymer B., Jenei S. (2006). Soc. Choice Welfare 26: 217
59. Restrepo G., Mesa H., Llanos E., Villaveces J.L. (2004). J. Chem. Inf. Comput. Sci. 44: 68
60. Restrepo G., Villaveces J.L. (2005). Croat. Chem. Acta 78: 275
61. Restrepo G., Llanos E.J., Mesa H. (2006). J. Math. Chem. 39: 401
62. G. Restrepo, H. Mesa, E. Llanos, J.L. Villaveces, in The Mathematics of the Periodic Table, ed. by R.B. King, D.H. Rouvray (Nova, New York, 2006), pp. 75-100
63. de Nooy W., Mrvar A., Batagelj V. (2006) Exploratory Social Network Analysis wth Pajek. Cambridge University Press, Cambridge