参考文献:1. Todeschini, R, Consonni, V (2000) Handbook of Molecular Descriptors. Wiley-HCH, Weinheim CrossRef 2. Randi膰, M (1975) On characterization of molecular branching. J. Am. Chem. Soc 97: pp. 6609-6615 CrossRef 3. Li, X, Gutman, I (2006) Mathematical Aspects of Randi膰-Type Molecular Structure Descriptors. University of Kragujevac, Kragujevac 4. Li, X, Shi, Y (2008) A survey on the Randi膰 index. MATCH Commun. Math. Comput. Chem 59: pp. 127-156 5. Bozkurt, SB, G眉ng枚r, AD, Gutman, I, 脟evik, AS (2010) Randi膰 matrix and Randi膰 energy. MATCH Commun. Math. Comput. Chem 64: pp. 239-250 6. Divni膰, R, Pavlovi膰, L (2013) Proof of the first part of the conjecture of Aouchiche and Hansen about the Randi膰 index. Discrete Appl. Math 161: pp. 953-960 CrossRef 7. Das, KC, Sorgun, S (2014) On Randi膰 energy of graphs. MATCH Commun. Math. Comput. Chem 72: pp. 227-238 8. Gomes, H, Gutman, I, Martines, EA, Robbiano, M, San Martin, B (2014) On Randi膰 spread. MATCH Commun. Math. Comput. Chem 72: pp. 249-266 9. Liang, M, Liu, B (2013) On the Randi膰 index and girth of graphs. Discrete Appl. Math 161: pp. 212-216 CrossRef 10. Liu, J (2013) On a conjecture of the Randi膰 index and the minimum degree of graphs. Discrete Appl. Math 161: pp. 2544-2548 CrossRef 11. Su, G, Xiong, L, Su, X (2014) Maximally edge-connected graphs and zeroth-order general Randi膰 index for. Discrete Appl. Math 167: pp. 261-268 CrossRef 12. Bollob谩s, B, Erd艖s, P (1998) Graphs of extremal weights. Ars Comb 50: pp. 225-533 13. Fajtlowicz, S: Written on the Wall, a list of conjectures of Graffiti. Available from the author 14. Caporossi, G, Gutman, I, Hansen, P, Pavlovi膰, L (2003) Graphs with maximum connectivity index. Comput. Biol. Chem 27: pp. 85-90 CrossRef 15. Pavlovi膰, L, Gutman, I (2001) Graphs with extremal connectivity index. Novi Sad J. Math 31: pp. 53-58 16. Do拧lic, T, Furtula, B, Graovac, A, Gutman, I, Moradi, S, Yarahmadi, Z (2011) On vertex-degree-based molecular structure descriptors. MATCH Commun. Math. Comput. Chem 66: pp. 613-626 17. Hamzeh, A, Reti, T (2014) An analogue of Zagreb index inequality obtained from graph irregularity measures. MATCH Commun. Math. Comput. Chem 72: pp. 669-684 18. Xu, K, Das, KC, Balachandran, S (2014) Maximizing the Zagreb indices of -graphs. MATCH Commun. Math. Comput. Chem 72: pp. 641-654 19. Ghorbani, M, Hosseinzadeh, MA (2012) A new version of Zagreb indices. Filomat 26: pp. 93-100 CrossRef 20. Sharma, V, Goswami, R, Madan, AK (1997) Eccentric connectivity index: a novel highly discriminating topological descriptor for structure-property and structure-activity studies. J. Chem. Inf. Comput. Sci 37: pp. 273-282 CrossRef 21. Yu, G, Feng, L (2013) On connective eccentricity index of graphs. MATCH Commun. Math. Comput. Chem 69: pp. 611-628
刊物主题:Analysis; Applications of Mathematics; Mathematics, general;
出版者:Springer International Publishing
ISSN:1029-242X
文摘
The purpose of the present note is to establish the weighted version of the handshaking lemma with an application to chemical graph theory. MSC: 05C90.