Some upper bounds for the atom-bond connectivity index of graphs

Applied Mathematics Letters

Volumn 25, Issue 7, 2012, Pages 1077-1081

  Chen, Jinsong ^a,b   Liu, Jianping ^b   Guo, Xiaofeng ^c  

^a HUNAN NORMAL UNIVERSITY   (China)

^b FUZHOU UNIVERSITY   (China)

^c XIAMEN UNIVERSITY   (China)

Author keywords

Atom bond connectivity index; Matching number; Vertex connectivity

Indexed keywords

BRANCHED ALKANES; CHEMICAL TREES; CONNECTED GRAPH; CONNECTIVITY INDICES; CYCLO-ALKANES; EXTREMAL; EXTREMAL GRAPH; MATCHING NUMBER; N-VERTEX GRAPH; UPPER BOUND; VERTEX CONNECTIVITY;

FORESTRY; MOLECULAR STRUCTURE; PARAFFINS;

TREES (MATHEMATICS);

ALKANES; COEFFICIENTS; MATHEMATICAL ANALYSIS; MOLECULAR STRUCTURE;

EID: 84860222290     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aml.2012.03.021     Document Type: Article

References (15)

1. A. Behtoei, M. Jannesari, and B. Taeri Maximum Zagreb index, minimum hyper-Wiener index and graph connectivity Appl. Math. Lett. 22 2009 1571 1576
2. K.C. Das, I. Gutman, and B. Furtula Survey on Geometric-Arithmetic indices of graphs MATCH Commun. Math. Comput. Chem. 65 2011 595 644
3. B. Liu, and I. Gutman On general Randic indices MATCH Commun. Math. Comput. Chem. 58 2007 147 154
4. B. Liu, and I. Gutman On a conjecture on Randic indices MATCH Commun. Math. Comput. Chem. 62 2009 143 154
5. B. Liu, and Z. You A survey on comparing Zagreb indices MATCH Commun. Math. Comput. Chem. 65 2011 581 593
6. B. Zhou, and N. Trinajstic Further results on atom-bond connectivity index of trees Chem. Phys. Lett. 455 2008 120 123
7. M. Zhang, and B. Liu On a conjecture about the Randic index and diameter MATCH Commun. Math. Comput. Chem. 64 2010 433 442
8. M. Randi On characterization of molecular branching J. Am. Chem. Soc. 97 1975 6609 6615
9. E. Estrada Atom-bond connectivity and the energetic of branched alkanes Chem. Phys. Lett. 463 2008 422 425
10. E. Estrada, L. Torres, L. Rodrguez, and I. Gutman An atom-bond connectivity index: modelling the enthalpy of formation of alkanes Indian J. Chem. A 37 1998 849 855
11. L. Lovsz, and M.D. Plummer Matching theory [M] Ann. Discrete Math. 1986
12. J.A. Bondy, and U.S.R. Murty Graph Theory with Applications 1976 American Elsevier New York
13. B. Furtula, A. Graovac, and D. Vukicevic Atom-bond connectivity index of trees Discrete Appl. Math. 157 2009 2828 2835
14. R. Xing, B. Zhou, and Z. Du Further results on atom-bond connectivity index of trees MATCH Commun. Math. Comput. Chem. 158 2010 1536 1545
15. J. Chen, and X. Guo Extreme atom-bond connectivity index of graphs MATCH Commun. Math. Comput. Chem. 65 2011 713 722