Unicyclic and bicyclic graphs with minimal augmented Zagreb index

Zhan Fu-qin1, Yu Qiao2, Jun Cai1
1College of Mathematics, Beijing Normal University, Beijing, P.R. China
2Department of Mathematics, Hechi University, Yizhou, P.R. China

Tóm tắt

Từ khóa


Tài liệu tham khảo

Harary F: Graph Theory. Addison-Wesley, Reading; 1969.

Novel Molecular Structure Descriptors - Theory and Applications. University of Kragujevac, Kragujevac; 2010.

Trinajstic N: Chemical Graph Theory. CRC Press, Boca Raton; 1992.

Topological Indices and Related Descriptors in QSAR and QSPR. Gordon & Breach, Amsterdam; 1999.

Novel Molecular Structure Descriptors - Theory and Applications. University of Kragujevac, Kragujevac; 2010.

Todeschini R, Consonni V: Molecular Descriptors for Chemoinformatics. Wiley-VCH, Weinheim; 2009.

Furtula B, Graovac A, Vukičević D: Augmented Zagreb index. J. Math. Chem. 2010, 48: 370–380. 10.1007/s10910-010-9677-3

Gutman I, Tošovič J: Testing the quality of molecular structure descriptors: vertex-degree-based topological indices. J. Serb. Chem. Soc. 2013, 78: 805–810. 10.2298/JSC121002134G

Huang Y, Liu B, Gan L: Augmented Zagreb index of connected graphs. MATCH Commun. Math. Comput. Chem. 2012, 67: 483–494.

Wang D, Huang Y, Liu B: Bounds on augmented Zagreb index. MATCH Commun. Math. Comput. Chem. 2012, 68: 209–216.

Ali, A, Bhatti, AA, Raza, Z: Further inequalities between vertex-degree-based topological indices (2014). arXiv:1401.7511

Ali, A, Raza, Z, Bhatti, AA: On the augmented Zagreb index (2014). arXiv:1402.3078

Xing R, Zhou B, Dong F: On atom-bond connectivity index of connected graphs. Discrete Appl. Math. 2011, 159: 1617–1630. 10.1016/j.dam.2011.06.004