[PDF] Top 20 The second geometric-arithmetic index for trees and unicyclic graphs

... Dendrimers are nanostructures that can be precisely designed and manufactured for a wide variety of applications, such as drug delivery, gene delivery and diagnostic tests. In this section we calculate the second ... See full document

... a unicyclic graph is bipartite if and only if its unique cycle length is ...the unicyclic graph with cycle C r  v v 1 2 v v r 1 , where the deletion of edges of the cycle results in vertex-disjoint ... See full document

... chain graphs embraces, as special cases, all trees (among which are the molecular graphs of alkanes) and all unicyclic graphs (among which are the molecular graphs of ... See full document

... for geometric-arithmetic index of molecular graphs in terms of the numbers of vertices and ...molecular trees with the minimum, the second and the third minimum, as well as the ... See full document

... AZI index of a chemical tree and showed that among all trees, the star graph has the minimal AZI ...connected graphs and characterized the corresponding extremal ...and unicyclic graphs ... See full document

... connectivity index of TUC C (s) 4 8 nanotube and TC C (s) ...connectivity index of chemical ...connectivity index of ...connectivity index of unicyclic ...a unicyclic graph with ... See full document

... extremal graphs of the matching energy in unicyclic, bicyclic graphs with a given diameter, ...in unicyclic graphs with fixed girth and the graphs with given clique ...in ... See full document

... this index first appeared in ...harmonic index for simple connected graphs, trees and unicyclic graphs and characterized the corresponding extremal ...harmonic index of a ... See full document

... connected graphs, the trees and unicyclic graphs are always the focus of research in graph ...of trees has a long history, and a large number of results have been ...of unicyclic ... See full document

... on trees and it’s line graphs, bipartite graphs, unicyclic graphs, bicyclic graphs and tricyclic graphs are known (see ... See full document

... sum-connectivity index and general sum-connectivity index for trees, unicyclic graphs, -connected graphs and bicyclic graphs were given in ...Wiener index of four ... See full document

... irregularity index and dominating number for this new graph are presented in ...and second Zagreb indices, Randić index, geometric-arithmetic index and atom-bond connectivity ... See full document

... Zagreb index Zg G 1 ( ) , Second Zagreb index Zg G 2 ( ) , Randić connectivity index R G ( ) , sum-connectivity index X G ( ) , Geometric-Arithmetic index ... See full document

... of geometricarithmetic indices (GA) was put forward in chemical graph theory very ...the second geometricarithmetic index (GA 2 ) and characterize the extremal ... See full document

... first, second and third status neighborhood Dakashayani indices, first and second hyper status neighborhood Dakshayani indices of complete graphs, complete bipartite graphs, wheel ... See full document

... connectivity index and its wide applications, Kulli [3] introduced the multiplicative product connectivity index, multiplicative sum connectivity index, multiplicative atom bond connectivity ... See full document

... the unicyclic graphs with the minimal and maximal matching ...the unicyclic graphs with the first eight minimal matching ...bipartite unicyclic graphs with the first   ( n − 3 ... See full document

... and second hyper status Gourava indices, multiplicative sum and product connectivity status Gourava indices, general multiplicative first and second status Gourava indices of a ... See full document

... this index can enhance the physico-chemical applicability of Zagreb ...K-edge index which is defined as the sum of the cubes of the edge degrees of a ...K-edge index, K-edge coindex AMS Mathematics ... See full document

... However, there are many different types of ”all-kink” phenylene chains. So it still remain unsolved which ”all- kink” phenylene chain has the minimum Kirchhoff index. For this problem, we only have some intuitive ... See full document