Two-Dimensional Arrays in the Analysis of Trends in Series of Molecules: Strongly Subspectral Molecular Graphs, Formula Periodic Tables, and Number of Resonance Structures

Journal of Chemical Information and Computer Sciences

Volumn 40, Issue 3, 2000, Pages 810-815

  Dias, Jerry Ray ^a  

^a UNIVERSITY OF MISSOURI KANSAS CITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001014454     PISSN: 00952338     EISSN: None     Source Type: Journal    
DOI: 10.1021/ci000005f     Document Type: Article

References (22)

1. Dias, J. R. Strongly Subspectral Conjugated Molecular Systems. From Small Molecules to Infinitely Large π-Electronic Networks. J. Phys. Chem. A 1997, 101, 7167-7175. Dias, J. R. Directed toward the Development of a Unified Structure Theory of Polycyclic Conjugated Hydrocarbons: The Aufbau Principle in Structure/Similarity Studies. J. Chem. Inf. Comput. Sci. 1999, 39, 197-203.
2. Dias, J. R. Strongly Subspectral Conjugated Molecular Systems. From Small Molecules to Infinitely Large π-Electronic Networks. J. Phys. Chem. A 1997, 101, 7167-7175. Dias, J. R. Directed toward the Development of a Unified Structure Theory of Polycyclic Conjugated Hydrocarbons: The Aufbau Principle in Structure/Similarity Studies. J. Chem. Inf. Comput. Sci. 1999, 39, 197-203.
3. Dias, J. R. Setting Benzenoids to Order. Chem. Br. 1994, 30, 384-386. Dias, J. R. The Formula Periodic Table for Benzenoid Hydrocarbons and the Unifying Theory of a Periodic Table Set. Polycyclic Aromat. Compd. 1994, 4, 87-106. Dias. J. R. Current Status of Isomer Enumeration of Practical Benzenoids. J. Mol. Struct. (THEOCHEM) 1991, 230, 155-190. Dias, J. R. A Periodic Table for Polycyclic Aromatic Hydrocarbons. Isomer Enumeration of Fused Polycyclic Aromatic Hydrocarbons. J. Chem. Inf. Comput. Sci. 1982, 32, 15- 22. Cyvin, S. J.; Cyvin, B. N.; Brunvoll, J. Enumeration of Benzenoid Chemical Isomers with a Study of Constant-Isomer Series. Top. Curr. Chem. 1993, 166, 67-119.
4. Dias, J. R. Setting Benzenoids to Order. Chem. Br. 1994, 30, 384- 386. Dias, J. R. The Formula Periodic Table for Benzenoid Hydrocarbons and the Unifying Theory of a Periodic Table Set. Polycyclic Aromat. Compd. 1994, 4, 87-106. Dias. J. R. Current Status of Isomer Enumeration of Practical Benzenoids. J. Mol. Struct. (THEOCHEM) 1991, 230, 155-190. Dias, J. R. A Periodic Table for Polycyclic Aromatic Hydrocarbons. Isomer Enumeration of Fused Polycyclic Aromatic Hydrocarbons. J. Chem. Inf. Comput. Sci. 1982, 32, 15- 22. Cyvin, S. J.; Cyvin, B. N.; Brunvoll, J. Enumeration of Benzenoid Chemical Isomers with a Study of Constant-Isomer Series. Top. Curr. Chem. 1993, 166, 67-119.
5. Dias, J. R. Setting Benzenoids to Order. Chem. Br. 1994, 30, 384- 386. Dias, J. R. The Formula Periodic Table for Benzenoid Hydrocarbons and the Unifying Theory of a Periodic Table Set. Polycyclic Aromat. Compd. 1994, 4, 87-106. Dias. J. R. Current Status of Isomer Enumeration of Practical Benzenoids. J. Mol. Struct. (THEOCHEM) 1991, 230, 155-190. Dias, J. R. A Periodic Table for Polycyclic Aromatic Hydrocarbons. Isomer Enumeration of Fused Polycyclic Aromatic Hydrocarbons. J. Chem. Inf. Comput. Sci. 1982, 32, 15- 22. Cyvin, S. J.; Cyvin, B. N.; Brunvoll, J. Enumeration of Benzenoid Chemical Isomers with a Study of Constant-Isomer Series. Top. Curr. Chem. 1993, 166, 67-119.
6. Dias, J. R. Setting Benzenoids to Order. Chem. Br. 1994, 30, 384- 386. Dias, J. R. The Formula Periodic Table for Benzenoid Hydrocarbons and the Unifying Theory of a Periodic Table Set. Polycyclic Aromat. Compd. 1994, 4, 87-106. Dias. J. R. Current Status of Isomer Enumeration of Practical Benzenoids. J. Mol. Struct. (THEOCHEM) 1991, 230, 155-190. Dias, J. R. A Periodic Table for Polycyclic Aromatic Hydrocarbons. Isomer Enumeration of Fused Polycyclic Aromatic Hydrocarbons. J. Chem. Inf. Comput. Sci. 1982, 32, 15-22. Cyvin, S. J.; Cyvin, B. N.; Brunvoll, J. Enumeration of Benzenoid Chemical Isomers with a Study of Constant-Isomer Series. Top. Curr. Chem. 1993, 166, 67-119.
7. Dias, J. R. Setting Benzenoids to Order. Chem. Br. 1994, 30, 384- 386. Dias, J. R. The Formula Periodic Table for Benzenoid Hydrocarbons and the Unifying Theory of a Periodic Table Set. Polycyclic Aromat. Compd. 1994, 4, 87-106. Dias. J. R. Current Status of Isomer Enumeration of Practical Benzenoids. J. Mol. Struct. (THEOCHEM) 1991, 230, 155-190. Dias, J. R. A Periodic Table for Polycyclic Aromatic Hydrocarbons. Isomer Enumeration of Fused Polycyclic Aromatic Hydrocarbons. J. Chem. Inf. Comput. Sci. 1982, 32, 15- 22. Cyvin, S. J.; Cyvin, B. N.; Brunvoll, J. Enumeration of Benzenoid Chemical Isomers with a Study of Constant-Isomer Series. Top. Curr. Chem. 1993, 166, 67-119.
8. Dias, J. R. Studies in Deciphering the Information Content of Chemical Formulas: A Comprehensive Study of Fluorenes and Fluoranthenes. J. Chem. Inf. Comput. Sci. 1992, 32, 2-11. Cyvin, S. J. Graph- Theoretical Studies on Fluoranthenoids and Fluorenoids. Part I. J. Mol. Struct. (THEOCHEM) 1992, 262, 219-231. Cyvin, S. J.; Cyvin, B. N.; Brunvoll. J. Graph-Theoretical Studies on Fluoranthenoids and Fluorenoids. Part 2. J. Mol. Struct. (THEOCHEM) 1993, 281, 229- 236.
9. Dias, J. R. Studies in Deciphering the Information Content of Chemical Formulas: A Comprehensive Study of Fluorenes and Fluoranthenes. J. Chem. Inf. Comput. Sci. 1992, 32, 2-11. Cyvin, S. J. Graph-Theoretical Studies on Fluoranthenoids and Fluorenoids. Part I. J. Mol. Struct. (THEOCHEM) 1992, 262, 219-231. Cyvin, S. J.; Cyvin, B. N.; Brunvoll. J. Graph-Theoretical Studies on Fluoranthenoids and Fluorenoids. Part 2. J. Mol. Struct. (THEOCHEM) 1993, 281, 229- 236.
10. Dias, J. R. Studies in Deciphering the Information Content of Chemical Formulas: A Comprehensive Study of Fluorenes and Fluoranthenes. J. Chem. Inf. Comput. Sci. 1992, 32, 2-11. Cyvin, S. J. Graph- Theoretical Studies on Fluoranthenoids and Fluorenoids. Part I. J. Mol. Struct. (THEOCHEM) 1992, 262, 219-231. Cyvin, S. J.; Cyvin, B. N.; Brunvoll. J. Graph-Theoretical Studies on Fluoranthenoids and Fluorenoids. Part 2. J. Mol. Struct. (THEOCHEM) 1993, 281, 229-236.
11. Dias, J. R. Deciphering the Information Content of Chemical Formulas: Chemical and Structural Characteristics and Enumeration of Indacenes. J. Chem. Inf. Comput. Sci. 1992, 32, 203-209. Brunvoll, J.; Cyvin, B. N.; Cyvin, S. J.; Brinkmann, G.; Bornhoft, J. Enumeration of Chemical Isomers of Polycyclic Conjugated Hydrocarbons with Six-Membered and Five-Membered Rings. Z. Naturforsch. 1996, 51a, 1073-1078.
12. Dias, J. R. Deciphering the Information Content of Chemical Formulas: Chemical and Structural Characteristics and Enumeration of Indacenes. J. Chem. Inf. Comput. Sci. 1992, 32, 203-209. Brunvoll, J.; Cyvin, B. N.; Cyvin, S. J.; Brinkmann, G.; Bornhoft, J. Enumeration of Chemical Isomers of Polycyclic Conjugated Hydrocarbons with Six-Membered and Five-Membered Rings. Z. Naturforsch. 1996, 51a, 1073-1078.
13. Dias, J. R. Notes on Constant-Isomer Series. J. Chem. Inf. Comput. Sci. 1993, 33, 117-127.
14. Cyvin, S. J.; Gutman, I. Kekulé Structures in Benzenoid Hydrocarbons; Springer-Verlag: Berlin. 1988. Gutman, I.; Cyvin, S. J. A New Method for Enumeration of Kekulé Structures. Chem. Phys. Lett. 1987, 136, 137-141. Rogsi, C.; Cyvin, B. N.; Brunvoll, J.; Klein, D. J. Methods of Enumerating Kekulé Structures. Top. Curr. Chem. 1990, 153, 221- 253.
15. Cyvin, S. J.; Gutman, I. Kekulé Structures in Benzenoid Hydrocarbons; Springer-Verlag: Berlin. 1988. Gutman, I.; Cyvin, S. J. A New Method for Enumeration of Kekulé Structures. Chem. Phys. Lett. 1987, 136, 137-141. Rogsi, C.; Cyvin, B. N.; Brunvoll, J.; Klein, D. J. Methods of Enumerating Kekulé Structures. Top. Curr. Chem. 1990, 153, 221- 253.
16. Cyvin, S. J.; Gutman, I. Kekulé Structures in Benzenoid Hydrocarbons; Springer-Verlag: Berlin. 1988. Gutman, I.; Cyvin, S. J. A New Method for Enumeration of Kekulé Structures. Chem. Phys. Lett. 1987, 136, 137-141. Rogsi, C.; Cyvin, B. N.; Brunvoll, J.; Klein, D. J. Methods of Enumerating Kekulé Structures. Top. Curr. Chem. 1990, 153, 221-253.
17. Herndon, W. C. Enumeration of Resonance Structures. Tetrahedron 1973, 29, 3-12.
18. Dias, J. R. Resonance Structures of Benzenoid Conjugated Radicals. Phys. Chem. Chem. Phys. 1999, 1, 5081-5086.
19. Homann, K.-H. Fullerenes and Soot Formation-New Pathways to Particles in Flames. Angew Chem., Int. Ed. Engl. 1998, 37, 2434-2451.
20. Randić, M.; Trinajstić, N. Conjugation and Aromaticity of Corannulenes. J. Am. Chem. Soc. 1984, 106, 4428-4434.
21. Ramaraj, R.; Balasubramanian, K. Computer Generation of Matching Polynomials of Chemical Graphs and Lattices. J. Comput. Chem. 1985, 6, 122-141.
22. Scerri, E. R. The Evolution of the Periodic System. Sci. Am. 1998, 78-83.