Extremal Values of Total Multiplicative Sum Zagreb Index and First Multiplicative Sum Zagreb Coindex on Unicyclic and Bicyclic Graphs

被引:0
作者
Bozovic, Vladimir [1 ]
Vukicevic, Zana Kovijanic [1 ]
Popivoda, Goran [1 ]
机构
[1] Univ Montenegro, Fac Sci & Math, POB 211, Podgorica 81000, Montenegro
关键词
TREES;
D O I
暂无
中图分类号
O6 [化学];
学科分类号
0703 ;
摘要
The total multiplicative sum Zagreb index of a simple graph G is defined as Pi(T)(G) := Pi(u,v is an element of V(G)) (d(G)(u) + d(G)(v)), while (Pi) over bar (1)(G) := Pi(uv is not an element of E(G)) (d(G)(u) + d(G)(v)) represents the first multiplicative sum Zagreb coindex. Both graphical invariants were introduced by Xu, Das and Tang in [10]. We obtained extremal values of those indices on the class of unicyclic and bicyclic graphs.
引用
收藏
页码:417 / 430
页数:14
相关论文
共 11 条
[1]  
Eliasi M, 2012, MATCH-COMMUN MATH CO, V68, P217
[2]   GRAPH THEORY AND MOLECULAR-ORBITALS - TOTAL PI-ELECTRON ENERGY OF ALTERNANT HYDROCARBONS [J].
GUTMAN, I ;
TRINAJSTIC, N .
CHEMICAL PHYSICS LETTERS, 1972, 17 (04) :535-538
[3]  
Gutman I., 2011, B SOC MATH BANJA LUK, V18, P17
[4]  
Gutman I, 2015, MATCH-COMMUN MATH CO, V74, P5
[5]  
Narumi H., 1984, Mem. Fac. Engin. Hokkaido Univ, V16, P209
[6]  
Todeschini R., 2010, Novel molecular structure descriptors - Theory and applications I, P73
[7]  
Todeschini R, 2010, MATCH-COMMUN MATH CO, V64, P359
[8]   ON THE MULTIPLICATIVE ZAGREB COINDEX OF GRAPHS [J].
Xu, Kexiang ;
Das, Kinkar Ch. ;
Tang, Kechao .
OPUSCULA MATHEMATICA, 2013, 33 (01) :191-204
[9]  
Xu KX, 2012, MATCH-COMMUN MATH CO, V68, P257
[10]  
Xu KX, 2012, MATCH-COMMUN MATH CO, V68, P241