The (n, m)-graphs of minimum hosoya index

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Volumn 64, Issue 3, 2010, Pages 811-820

  Pan, Xiang Feng ^a   Sun, Zhi Rong ^a  

^a ANHUI UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 78651398470     PISSN: 03406253     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (10)

1. J. A. Bondy, U. S. R. Murty, Graph Theory with Applications, MacMillan, New York, 1976.
2. H. Hosoya, Topological index, A newly proposed quantity characterizing the topological nature of structural isomers of saturated hydrocarbons, Bull. Chem. Soc. Jpn. 44 (1971) 2332-2339.
3. I. Gutman, O. E. Polansky, Mathematical Concepts in Organic Chemistry, Springer, Berlin, 1986.
4. R. E. Merrifield, H. E. Simmons, Topological Methods in Chemistry, Wiley, New York, 1989.
5. J. P. Ou, On extremal unicyclic molecular graphs with prescribed girth and minimal Hosoya index, J. Math. Chem. 42 (2007) 423-432.
6. J. P. Ou, On extremal unicyclic molecular graphs with maximal Hosoya index, Discr. Appl. Math. 157 (2009) 391-397.
7. H. Y. Deng, The smallest Hosoya index in (n, n + 1)-graphs, J. Math. Chem. 43 (2008) 119-133.
8. H. Zhao, R. Liu, On the Merrifield-Simmons index of graphs, MATCH Commun. Math. Comput. Chem. 56 (2006) 617-624.
9. Y. L. Ye, X. F. Pan, H. Q. Liu, Ordering unicyclic graphs with respect to Hosoya indices and Merrifield-Simmons indices, MATCH Commun. Math. Comput. Chem. 59 (2008) 191-202.
10. H. Q. Liu, X. Yan, Z. Yan, On the Merrifield-Simmons indices and Hosoya indices of trees with a prescribed diameter, MATCH Commun. Math. Comput. Chem. 57 (2007) 371-384.