Uniqueness of the matching polynomial

Match

Volumn 55, Issue 2, 2006, Pages 351-358

  Gutman, Ivan ^a  

^a UNIVERSITY OF KRAGUJEVAC   (Serbia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33645691724     PISSN: 03406253     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (22)

1. S. J. Cyvin, I. Gutman, Kekulé Structures in Benzenoid Hydrocarbons, Springer-Verlag, Berlin, 1988.
2. I. Gutman, D. Vukičević, A. Graovac, M. Randić, Algebraic Kekulé structures of benzenoid hydrocarbons, J. Chem. Inf. Comput. Sci. 44 (2004) 296-299.
3. M. Randić, Algebraic Kekulé formulas for benzenoid hydrocarbons, J. Chem. Inf. Comput. Sci. 44 (2004) 365-372.
4. T. Morikawa, D. J. Klein, Quantification of π-electron capacity of Kekuléan substructures in benzenoid hydrocarbons, Polyc. Arom. Comp. 25 (2005) 129-140.
5. A. Vesel, Characterization of resonance graphs of catacondensed hexagonal graphs, MATCH Commun. Math. Comput. Chem. 53 (2005) 195-208.
6. M. Lin, X. Guo, Ordering catacondensed hexagonal systems with small numbers of Kekulé structures, MATCH Commun. Math. Comput. Chem. 53 (2005) 403-418.
7. I. Gutman, O. E. Polansky, Mathematical Concepts in Organic Chemistry, Springer-Verlag, Berlin, 1986.
8. H. Hosoya, The topological index Z before and after 1971, Internet Electr. J. Mol. Design 1 (2002) 428-442.
9. I. Gutman, B. Furtula, D. Vidović, H. Hosoya, A concealed property of the topological index Z, Bull. Chem. Soc. Jpn. 77 (2004) 491-496.
10. X. Li, H. Zhao, Trees with the first smallest and largest generalized topological indices, MATCH Commun. Math. Comput. Chem. 50 (2004) 57-62.
11. B. Zhou, I. Gutman, Estimating the modified Hosoya index, MATCH Commun. Math. Comput. Chem. 52 (2004) 183-192.
12. L. Ye, R. S. Chen, Ordering of trees with given bipartition by their energies and Hosoya indices, MATCH Commun. Math. Comput. Chem. 52 (2004) 193-208.
13. I. Gutman, S. Radenković, B. Furtula, H. Hosoya, Some properties of the topological bond order, Chem. Phys. Lett. 407 (2005) 73-77.
14. I. Gutman, The acyclic polynomial of a graph, Publ. Inst. Math. (Beograd) 22 (1977) 63-69.
15. 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.
16. E. J. Farrell, An introduction to matching polynomials, J. Comb. Theory B 27 (1979) 75-86.
17. I. Gutman, Some relations for the independence and matching polynomials and their chemical applications, Bull. Acad. Serbe Sci. Arts 105 (1992) 39-49.
18. D. M. Cvetković, M. Doob, I. Gutman, A. Torgašev, Recent Results in the Theory of Graph Spectra, North-Holland, Amsterdam, 1988.
19. C. D. Godsil, I. Gutman, On the theory of the matching polynomial, J. Graph Theory 5 (1981) 137-144.
20. M. Randić, A route to acyclic (matching) polynomial, in: M. F. Capobianco, M. Guan, D. F. Hsu, F. Tian (Eds.), Graph Theory and Its Applications: East and West, New York Acad. Sci., New York, 1989, pp. 458-465.
21. V. R. Rosenfeld, I. Gutman, A novel approach to graph polynomials, MATCH Commun. Math. Chem. 24 (1989) 191-199.
22. G. G. Cash, W. C. Herndon, Novel approaches to exact coefficients of acyclic polynomials, MATCH Commun. Math. Comput. Chem. 40 (1999) 273-278.