Extremal merrifield-simmons index and Hosoya index of polyphenyl chains

Match

Volumn 62, Issue 3, 2009, Pages 649-656

  Bai, Yaii ^a   Zhao, Biao ^a   Zhao, Peiying ^a  

^a XINJIANG UNIVERSITY   (China)

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[No Author keywords available]

Indexed keywords

EID: 77949399414     PISSN: 03406253     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (16)

1. R. E. Merrifield, H. E. Simmons, Topological Methods in Chemistry, Wiley, New York, 1989.
2. H. Hosoya, Topological index, Bull. Chem. Soc. Japan 44 (1971) 2332-2339.
3. J. A. Bondy, U. S. R. Murty, Graph Theory with Applications, MacMillan, London, 1976.
4. T. M. Westerberg, K. J. Dawson, K. W. McLaughlin, The Hosoya index, Lucas numbers and QSPR, Endeavor 1 (2005) 1-15.
5. I. Gutman, O. E. Polansky, Mathematical Concept in Organic Chemistry, Springer, Berlin, 1986.
6. N. Trinajstić, Chemical Graph Theory, CRC Press, Boca Raton, 1992.
7. H. Hosoya, N. Ohkami, Operator technique for obtaining the recursion formulas of characteristic and matching polynomials as applied to polyhex graphs, J. Comput. Chem. 4 (1983) 585-593.
8. H. Hosoya, in: N. Trinajstić (Ed.), Mathematics and Computational Concepts in Chemistry Horwood, Chichester, 1986, p. 110.
9. L. Z. Zhang, The proof of Gutman's conjectures concerning extremal hexagonal chains, J. Systems Sci. Math. Sci. 18 (1998) 460-465.
10. S. G. Wagner, Extremal trees with respect to Hosoya index and MerrifieldSimmons index, MATCH Commun. Math. Comput. Chem. 57 (2007) 221-233.
11. X. Pan, J. M. Xu, C. Yang, M. J. Zhou, Some graphs with minimum Hosoya index and maximum Merrifield-Simmons index, MATCH Commun. Math. Comput. Chem. 57 (2007) 235-242.
12. Z. Yan, H. Liu, H. Liu, The maximal Merrifield-Simmons indices and minimal Hosoya indices of unicyclic graphs, MATCH Commun. Math. Comput. Chem. 59 (2008) 157-170.
13. H. Deng, S. Chen, The extremal unicyclic graphs with respect to Hosoya index and Merrifield-Simmons index, MATCH Commun. Math. Comput. Chem. 59 (2008) 171-190.
14. Y. Ye, X. F. Pan, H. Liu, Ordering unicyclic graphs with respect to Hosoya indices and Merrifield-Simmons indices, MATCH Commun. Math. Comput. Chem. 59 (2008) 191-202.
15. B. Wang, C. Ye, H. Zhao, Extremal unicyclic graphs with respect to MerrifieldSimmons index, MATCH Commun. Math. Comput. Chem. 59 (2008) 203-216.
16. H. Deng, Q. Guo, On the minimal Merrifield-Simmons index of trees of order n with at least [n/2] +1 pendent vertices, MATCH Commun. Math. Comput. Chem. 60 (2008) 601-608.