On the zeroth-order general Randić index, variable sum exdeg index and trees having vertices with prescribed degree
نویسندگان
چکیده
منابع مشابه
A note on the zeroth-order general randić index of cacti and polyomino chains
The present note is devoted to establish some extremal results for the zeroth-order general Randi'{c} index of cacti, characterize the extremal polyomino chains with respect to the aforementioned index, and hence to generalize two already reported results.
متن کاملOn the variable sum exdeg index and cut edges of graphs
The variable sum exdeg index of a graph G is defined as $SEI_a(G)=sum_{uin V(G)}d_G(u)a^{d_G(u)}$, where $aneq 1$ is a positive real number, du(u) is the degree of a vertex u ∈ V (G). In this paper, we characterize the graphs with the extremum variable sum exdeg index among all the graphs having a fixed number of vertices and cut edges, for every a>1.
متن کاملa note on the zeroth-order general randić index of cacti and polyomino chains
the present note is devoted to establish some extremal results for the zeroth-order general randi'{c} index of cacti, characterize the extremal polyomino chains with respect to the aforementioned index, and hence to generalize two already reported results.
متن کاملOn trees and the multiplicative sum Zagreb index
For a graph $G$ with edge set $E(G)$, the multiplicative sum Zagreb index of $G$ is defined as$Pi^*(G)=Pi_{uvin E(G)}[d_G(u)+d_G(v)]$, where $d_G(v)$ is the degree of vertex $v$ in $G$.In this paper, we first introduce some graph transformations that decreasethis index. In application, we identify the fourteen class of trees, with the first through fourteenth smallest multiplicative sum Zagreb ...
متن کاملon the first extended zeroth-order connectivity index of trees
the first extended zeroth-order connectivity index of a graph g is defined as 0 1/2 1 ( ) ( ) , v v v g g d where v (g) is the vertex set of g, and v d is the sum of degrees of neighbors of vertex v in g. we give a sharp lower bound for the first extended zeroth-order connectivity index of trees with given numbers of vertices and pendant vertices,...
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ژورنال
عنوان ژورنال: Discrete Mathematics, Algorithms and Applications
سال: 2018
ISSN: 1793-8309,1793-8317
DOI: 10.1142/s1793830918500155