The chemical roots of the matching polynomial

Physical Chemistry Chemical Physics

Volumn 12, Issue 20, 2010, Pages 5295-5306

  Chauvin, Remi ^a,b   Lepetit, Christine ^a,b   Fowler, Patrick W ^c   Malrieu, Jean Paul ^d  

^a LCC LABORATOIRE DE CHIMIE DE COORDINATION   (France)

^b UNIVERSITÉ PAUL SABATIER   (France)

^c UNIVERSITY OF SHEFFIELD   (United Kingdom)

^d Université Paul Sabatier   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77952384658     PISSN: 14639076     EISSN: None     Source Type: Journal    
DOI: 10.1039/b923893j     Document Type: Article

References (84)

1. V. I. Minkin, M. N. Glukhovtsev and B. Y. Simkin, Aromaticity and Antiaromaticity: Electronic and Structural Aspects, Wiley, New York, 1994
2. P. v. R. Schleyer Aromaticity Chem. Rev. 2001 101 5 1115
3. M. K. Cyrański T. M. Krygowski A. R. Katritzky P. v. R. Schleyer J. Org. Chem. 2002 67 1333 1338
4. Aromaticity in Heterocyclic Compounds, ed., T. M. Krygowski, and, M. K. Cyranski, Topics in Heterocyclic Chemistry, 2009, 19
5. V. I. Minkin Pure Appl. Chem. 1999 71 1919 1981
6. C. Zou C. Lepetit Y. Coppel R. Chauvin Pure Appl. Chem. 2006 78 791 811
7. M. K. Cyranski Chem. Rev. 2005 105 3773 3811
8. T. M. Krygowski M. K. Cyranski Chem. Rev. 2001 101 1385 1419
9. B. Silvi A. Savin Nature 1994 371 683 686
10. C. Lepetit B. Silvi R. Chauvin J. Phys. Chem. A 2003 107 464 473
11. J. C. Santos W. Tiznado R. Contreras P. Fuentebella J. Chem. Phys. 2004 120 1670 1673
12. J. C. Santos J. Andres A. Aizman P. Fuentealba J. Chem. Theory Comput. 2005 1 83 86
13. J. Poater M. Duran M. Sola B. Silvi Chem. Rev. 2005 105 3911 3947
14. P. Lazzeretti Prog. Nucl. Magn. Reson. Spectrosc. 2000 36 1 88
15. J. A. N. F. Gomes R. B. Mallion Chem. Rev. 2001 101 1349 1383
16. P. W. Fowler E. Steiner R. W. Havenith L. W. Jenneskens Magn. Reson. Chem. 2004 42 S68 S78
17. P. W. Fowler M. Lillington L. P. Olson Pure Appl. Chem. 2007 79 969 979
18. L. J. Schaad B. A. Hess, Jr Pure Appl. Chem. 1982 54 1097 1114
19. M. J. S. Dewar C. de Llano J. Am. Chem. Soc. 1969 91 789
20. L. J. Schaad B. A. Hess Jr. Chem. Rev. 2001 101 1465 1476
21. R. Breslow E. Mohacsi J. Am. Chem. Soc. 1963 85 431
22. J. Aihara J. Am. Chem. Soc. 1976 98 2750 2758
23. I. Gutman M. Milun N. Trinajstić Croat. Chem. Acta. 1976 48 87 95
24. I. Gutman M. Milun N. Trinajstić J. Am. Chem. Soc. 1977 99 1692 1704
25. I. Gutman N. Trinajstić Topics in Current Chemistry Fortschritte der Chemischen Forschung 1973 42 49 93
26. E. J. Farrell J. Comb. Theory 1979 26B 111 122
27. R. F. Langler Chem. Educ. 2000 5 171 174
28. M. Randić Croat. Chem. Acta 2004 77 1 15
29. I. Gutman Theor. Chim. Acta 1980 56 89 92
30. J.-P. Malrieu C. Lepetit M. Gicquel J.-L. Heully P. W. Fowler R. Chauvin New J. Chem. 2007 31 1918 1927
31. J.-P. Malrieu M. Gicquel P. W. Fowler C. Lepetit J.-L. Heully R. Chauvin J. Phys. Chem. A 2008 112 13203 13214
32. W. C. Herndon L. Ellzey, Jr. J. Chem. Inf. Model. 1979 19 260 264
33. H. Sachs Publ. Math. (Debrecen) 1964 11 119
34. H. Hosoya Croat. Chim. Acta 2007 80 239 249
35. O. J. Heilmann E. H. Leib Commun. Math. Phys. 1972 25 190 232
36. C. D. Godsil I. Gutman Z. Naturforsch., A 1979 34A 776 777
37. X. Li I. Gutman G. V. Milovanović Publ. Instit. Math. 2000 67 1 6
38. J. Aihara Bull. Chem. Soc. Jpn. 1978 51 1788 1792
39. A. Graovac O. E. Polansky N. Trinajstić N. Tyutyulkov Z. Naturforsch. A 1975 30 1696 1697
40. J. Aihara J. Am. Chem. Soc. 1976 98 6840 6844
41. N. Trinajstić Croat. Chem. Acta 1977 49 593 633
42. J. Cioslowski Int. J. Quantum Chem. 1988 34 417 421
43. I. Gutman Publ. Instit. Math. 1982 31 27 82
44. J. H. Koolen V. Moulton I. Gutman Chem. Phys. Lett. 2000 320 213 216
45. H. Hosoya M. Murakami Bull. Chem. Soc. Jpn. 1975 48 3512 3517
46. J. R. Dias Can. J. Chem. 1987 65 734 739
47. J. Aihara Bull. Chem. Soc. Jpn. 1979 52 1529 1530
48. N. Mizoguchi J. Am. Chem. Soc. 1985 107 4419 4421
49. J. Aihara H. Ichikawa Bull. Chem. Soc. Jpn. 1988 61 223 228
50. B. A. Hess, Jr. L. J. Schaad C. W. Holyoke, Jr. Tetrahedron 1972 28 5299
51. B. A. Hess, Jr. L. J. Schaad C. W. Holyoke, Jr. Tetrahedron 1975 31 295
52. B. A. Hess, Jr. L. J. Schaad C. W. Holyoke, Jr. Tetrahedron 1972 28 3657
53. M. Shen Int. J. Quantum Chem. 1990 37 121 123
54. I. Gutman M. Milun N. Trinajstić Croat. Chem. Acta 1977 49 441 452
55. J. Aihara Bull. Chem. Soc. Jpn. 1980 53 1163 1164
56. A. A. Frost B. Musulin J. Chem. Phys. 1953 21 572 573
57. H. E. Zimmermann J. Am. Chem. Soc. 1966 88 1564 1565
58. H. E. Zimmermann Acc. Chem. Res. 1971 4 272 280
59. Z. Zou Int. J. Quantum Chem. 1994 51 181 186
60. J. Aihara J. Am. Chem. Soc. 1977 99 2048 2053
61. S. Bosanać I. Gutman Z. Naturforsch. 1977 32a 10 12
62. I. Gutman S. Bosanać Tetrahedron 1977 33 1809 1812
63. J. Aihara J. Am. Chem. Soc. 1979 101 5913 5917
64. J. Aihara J. Am. Chem. Soc. 1981 103 5704 5706
65. W. C. Herndon J. Am. Chem. Soc. 1982 104 3541 3542
66. J. Aihara Pure Appl. Chem. 1982 54 1115 11128
67. I. Gutman W. C. Herndon Chem. Phys. Lett. 1984 105 281 284
68. N. Mizoguchi Bull. Chem. Soc. Jpn. 1990 63 765 769
69. H. Hosoya Monatsh. Chem. 2005 136 1037 1055
70. J. Aihara J. Am. Chem. Soc. 2006 128 2873 2879
71. J. Aihara J. Phys. Org. Chem. 2008 21 79 85
72. M. Randić Chem. Rev. 2003 103 3449 3605
73. R. E. Merrifield H. E. Simmons Chem. Phys. Lett. 1980 74 348
74. N. Mizoguchi J. Math. Chem. 1991 7 325 340
75. J. Aihara J. Am. Chem. Soc. 1995 117 4130 4136
76. J. Aihara J. Chem. Soc., Perkin Trans. 2 1996 2185 2195
77. R. S. Rzepa Chem. Rev. 2005 105 3697 3715
78. R. Herges Chem. Rev. 2006 106 4820 4842
79. G. V. Boyd N. Singer Tetrahedron 1966 22 3383 3392
80. H. Hosoya Theor. Chim. Acta 1972 25 215 222
81. C. Angeli J. P. Malrieu J. Phys. Chem. A 2008 112 11481 11486
82. P. W. Fowler, J. P. Malrieu, C. Lepetit and R. Chauvin, manuscript in preparation
83. V. K. Balakrishnan, Graph Theory, McGraw-Hill, New York, 1997
84. R. Chauvin C. Lepetit V. Maraval L. Leroyer Pure Appl. Chem. 2010 10.1351/PAC-CON-09-11-07