Applications of information theory in chemical graph theory

Indian Journal of Chemistry - Section A Inorganic, Physical, Theoretical and Analytical Chemistry

Volumn 42, Issue 6, 2003, Pages 1227-1240

  Konstantinova, Elena V ^a   Skorobogatov, Vladimir A ^a   Vidyuk, Maxim V ^b  

^a SOBOLEV INSTITUTE OF MATHEMATICS   (Russian Federation)

^b BUDKER INSTITUTE OF NUCLEAR PHYSICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

CHEMICAL STRUCTURE; MATHEMATICS; PHYSICAL CHEMISTRY; REVIEW; STRUCTURE ACTIVITY RELATION; THEORY;

EID: 0042061050     PISSN: 03764710     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Review

References (67)

1. Trinajstić N, Chemical graph theory, 2nd Edn; (CRC Press, Boca Raton, FL), 1992.
2. Rouvray D H, J molec Struct (Theochem), 185 (1989) 187.
3. Shannon C & Weaver W, Mathematical theory of communications (University of Illinois, Urbana), 1949.
4. Ashby W R, An introduction to cybernetics (Wiley, New York), 1956.
5. Brillouin L, Science and information theory (Academic, New York), 1956.
6. Kolmogorov A N, Probl Peredachi Inf, 5 (1969) 3.
7. Mowshovitz A, Bull math Biophys, 30 (1968) 225; 30 (1968) 175; 30 (1968) 387; 30 (1968) 533.
8. Mowshovitz A, Bull math Biophys, 30 (1968) 225; 30 (1968) 175; 30 (1968) 387; 30 (1968) 533.
9. Mowshovitz A, Bull math Biophys, 30 (1968) 225; 30 (1968) 175; 30 (1968) 387; 30 (1968) 533.
10. Mowshovitz A, Bull math Biophys, 30 (1968) 225; 30 (1968) 175; 30 (1968) 387; 30 (1968) 533.
11. Rashevsky N, Bull math Biophys, 17 (1955) 229.
12. Trucco E, Bull math Biophys, 17 (1956) 129; 18 (1956) 237.
13. Trucco E, Bull math Biophys, 17 (1956) 129; 18 (1956) 237.
14. Rashevsky N, Bull math Biophys, 22 (1960) 351.
15. Morovitz H, Bull math. Biophys, 17 (1955) 81.
16. Valentinuzzi M & Valentinuzzi M E, Bull math Biophys, 25 (1963) 11.
17. Bonchev D, Kamenski D & Kamenska V, Bull math Biophys, 38 (1976) 119.
18. Bernstein R B & Levine R D, J chem Phys, 57 (1972) 434.
19. Ben-Shaul A, Levine R D & Bernstein R B, J chem Phys, 57 (1972) 5427.
20. Aslangul C, Constanciel R, Daudel R & Kottis P, Adv Quantum Chem, 6 (1972) 93.
21. Daudel R, Bader R F, Stephens M E & Borett D S, Canad J Chem, 52 (1974) 1310.
22. Aslangul C, Constanciel R, Daudel R, Esnault L & Ludena E, Int J Quantum Chem, 8 (1974) 499.
23. Fratev F, Enchev V, Polansky O.E & Bonchev D, J mol Struct (Theochem), 88 (1982) 105.
24. Bonchev D, MATCH Commun math Comput Chem, 7 (1979) 65.
25. Bonchev D, Int J Quantum Chem, 19 (1981) 673.
26. Wiener H, J Am chem Soc, 69 (1947) 17.
27. Wiener H, J chem Phys, 52 (1948) 425.
28. Hosoya H, Bull. chem Soc Jpn, 44 (1971) 2332.
29. Randić M, J Am chem Soc, 69 (1975) 6609.
30. Entringer R C, Jackson D E & Snyder D A, Czechoslovak math J, 2 (1976) 283.
31. Doyle J K & Graver J E, Discrete Math, 17 (1977) 147.
32. Kier L B & Hall LH, J pharm Sci, 70 (1981) 583.
33. Balaban A.T., Pure Appl. Chem., 55 (1983) 199-206.
34. Rouvray D H in: King R B (Ed), Chemical applications of topology and graph theory (Elsevier, Amsterdam), 1983, p 159.
35. Randić M, J chem Inf Comput Sci, 24 (1984) 164.
36. King R B & Rouvray D H (Eds), Graph theory and topology in chemistry (Elsevier, Amsterdam), 1987.
37. Randić M, J math Chem, 7 (1991) 155.
38. Nikolić S, Trinajstić N & Mihalić Z, Croat chem Acta, 68 (1995) 105.
39. Entringer R C, J combin Math combin Comput, 24 (1997) 65.
40. Diudea M V & Gutman I, Croat chem Acta, 71 (1998) 21.
41. Bonchev D & Trinajstić N, J chem Phys, 38 (1977) 4517.
42. Bonchev D & Trinajstić N, Int J Quantum Chem, S12 (1978) 293.
43. Bonchev D, Knop J V & Trinajstić N, MATCH Commun math Comput Chem, 6 (1979) 21.
44. Bonchev D, Mekenyan O & Trinajstić N, Int J Quantum Chem, 17 (1980) 845.
45. Bonchev D, Mekenyan O & Trinajstić N, J comput Chem, 2 (1981) 127.
46. Bonchev D & Trinajstić N, Int J Quantum Chem Symp, 16 (1982) 463.
47. Bonchev D, Information-theoretic indices for characterization of chemical structures (Research Studies Press, Chichester), 1983.
48. Kier L B & Hall L H, Molecular connectivity in chemistry and drug research (Academic Press, New York), 1976.
49. Kier L B & Hall L H, Molecular connectivity in structure-activity analysis (Research Studies Press, Letchworth), 1986.
50. Balaban A T, Chirac A, Motoc I & Simon Z, Steric fit in quantitative structure-activity relationships (Lecture Notes in Chemistry 15; Springer, Berlin), 1980.
51. Konstantinova E V & Paleev A A, Vychis Sistemy, 136 (1990) 38.
52. Konstantinova E V, J chem Inf Comput Sci, 36 (1996) 54.
53. Konstantinova E V & Diudea M V, Croat chem Acta, 73 (2000) 383.
54. Skorobogatov V A, Konstantinova E V, Nekrasov Y S, Sukharev Y N & Tepfer EE, MATCH Commun math Comput Chem, 26 (1991) 215.
55. Sukharev Y N, Nekrasov Y S, Molgacheva N S & Tepfer E E, Org Mass Spectr, 28 (1993) 1555.
56. Nekrasov Y S, Tepfer E E & Sukharev Y N, Russ chem Bull, 42 (1993) 343.
57. Nekrasov Y S, Sukharev Yu N, Molgacheva N S & Tepfer E.E, Russ chem Bull. 42 (1993) 1986.
58. Nekrasov Y S, Sukharev Y N, Tepfer E E & Molgacheva N S, Russ chem Bull, 45 (1996) 2542.
59. D'yachkov A G & Konstantinova E V, (in progress).
60. Konstantinova E V & Vidyuk M V (submitted in J chem Inf Comput Sci)
61. Konstantinova E V & Vidyuk M V (submitted in J chem Inf Comput Sci)
62. Razinger M, Chretien J R & Dubois J K, J chem Inf Comput Sci, 25 (1985) 23.
63. Raychaudhary C, Ray S K, Ghosh J J, Roy A B & Basak S C, J comput Chem, 5 (1984) 581.
64. Gutman I, J chem Inf Comput Sci, 34 (1994) 1087.
65. Dobrynin A A, MATCH Commun match Comput Chem, 38 (1998) 19.
66. Gutman I & Cyvin S J, Introduction to the theory of benzenoid hydrocarbons (Springer-Verlag, Berlin), 1989.
67. Gutman I & Cyvin S J (Eds.), Advances in the theory of benzenoid hydrocarbons (Springer-Verlag, Berlin), 1990.