Some extremal unicyclic graphs with respect to Hosoya index and Merrifield-Simmons index

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Volumn 62, Issue 3, 2009, Pages 629-648

  Xu, Kxiang ^a,b   Xu, Baogang ^a  

^a NANJING NORMAL UNIVERSITY   (China)

^b NANJING UNIVERSITY OF AERONAUTICS AND ASTRONAUTICS   (China)

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[No Author keywords available]

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EID: 76749099482     PISSN: 03406253     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (12)

1. H. Hosoya, Topological index, Bull. Chem. Soc. Jpn. 44 (1971) 2332-2339.
2. H. Y. Deng, The largest Hosoya index of (n,n+1) graphs, Comput. Math. Appl. 56 (2008) 2499-2506.
3. S. Wagner, Extremal trees with respect to Hosoya index and Merrifield-Simmons index, MATCH Commun. Math. Comput. Chem. 57 (2007) 221-233.
4. H. Y. Deng, S. Chen, The extremal unicyclic graphs with respect to Hosoya index and Merrified-Simmons index, MATCH Commun. Math. Comput. Chem. 59 (2008) 171-190.
5. I. Gutman, Extremal hexagonal chains, J. Math. Chem. 12 (1993) 197-210.
6. R. E. Merrifield, H. E. Simmons, Topological Methods in Chemistry, Wiley, New York, 1989.
7. H. Prodinger, R. F. Tichy, Fibonacci numbers of graphs, Fibonacci Quart. 20 (1982) 16-21.
8. I. Gutman, O. E. Polansky, Mathematical Concepts in Organic Chemistry, Springer, Berlin, 1986.
9. X. L. Li, H. X. Zhao, I. Gutman, On the Merrified-Simmons index of trees, MATCH Commun. Math. Comput. Chem. 54 (2005) 389-402.
10. H. Y. Deng, The smallest Merrified-Simmons index of (n,n+1) graphs, Math. Comput. Model. 49 (2008) 320-326.
11. X. L. Li, H. X. Zhao, On the Fibonacci numbers of trees, Fibonacci Quart. 44 (2006) 32-38.
12. J. A. Bondy, U. S. R. Murty, Graph Theory with Applications, Macmillan Press, New York, 1976.