comparing the second multiplicative zagreb coindex with some graph invariants
نویسندگان
چکیده
the second multiplicative zagreb coindex of a simple graph $g$ is defined as: $${overline{pi{}}}_2left(gright)=prod_{uvnotin{}e(g)}d_gleft(uright)d_gleft(vright),$$ where $d_gleft(uright)$ denotes the degree of the vertex $u$ of $g$. in this paper, we compare $overline{{pi}}_2$-index with some well-known graph invariants such as the wiener index, schultz index, eccentric connectivity index, total eccentricity, eccentric-distance sum, the first zagreb index and coindex and the first multiplicative zagreb index and coindex.
منابع مشابه
On the Multiplicative Zagreb Coindex of Graphs
Abstract. For a (molecular) graph G with vertex set V (G) and edge set E(G), the first and second Zagreb indices of G are defined as M1(G) = ∑ v∈V (G) dG(v) 2 and M2(G) = ∑ uv∈E(G) dG(u)dG(v), respectively, where dG(v) is the degree of vertex v in G. The alternative expression of M1(G) is ∑ uv∈E(G)(dG(u) + dG(v)). Recently Ashrafi, Došlić and Hamzeh introduced two related graphical invariants M...
متن کاملThe F-coindex of some graph operations
The F-index of a graph is defined as the sum of cubes of the vertex degrees of the graph. In this paper, we introduce a new invariant which is named as F-coindex. Here, we study basic mathematical properties and the behavior of the newly introduced F-coindex under several graph operations such as union, join, Cartesian product, composition, tensor product, strong product, corona product, disjun...
متن کاملOn the Zagreb and Eccentricity Coindices of Graph Products
The second Zagreb coindex is a well-known graph invariant defined as the total degree product of all non-adjacent vertex pairs in a graph. The second Zagreb eccentricity coindex is defined analogously to the second Zagreb coindex by replacing the vertex degrees with the vertex eccentricities. In this paper, we present exact expressions or sharp lower bounds for the second Zagreb eccentricity co...
متن کاملSome Results on Forgotten Topological Coindex
The forgotten topological coindex (also called Lanzhou index) is defined for a simple connected graph G as the sum of the terms du2+dv2 over all non-adjacent vertex pairs uv of G, where du denotes the degree of the vertex u in G. In this paper, we present some inequalit...
متن کاملSome Inequalities for the Multiplicative Sum Zagreb Index of Graph Operations
The multiplicative sum Zagreb index is defined for a simple graph G as the product of the terms dG(u)+dG(v) over all edges uv∈E(G) , where dG(u) denotes the degree of the vertex u of G . In this paper, we present some lower bounds for the multiplicative sum Zagreb index of several graph operations such as union, join, corona product, composition, direct product, Cartesian product and strong pro...
متن کاملمنابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
transactions on combinatoricsناشر: university of isfahan
ISSN 2251-8657
دوره 3
شماره 4 2014
میزبانی شده توسط پلتفرم ابری doprax.com
copyright © 2015-2023