On the Zagreb and Eccentricity Coindices of Graph Products
نویسندگان
چکیده
منابع مشابه
The Zagreb coindices of graph operations
Recently introduced Zagreb coindices are a generalization of classical Zagreb indices of chemical graph theory. We explore here their basic mathematical properties and present explicit formulae for these new graph invariants under several graph operations.
متن کاملEDGE a-ZAGREB INDICES AND ITS COINDICES OF GRAPH OPERATIONS
In this paper, the edge a-Zagreb indices and its coindices of some graph operations, such as generalized hierarchical product, Cartesian Product, join, composition of two graphs are obtained. Using the results obtained here, we deduce the F -indices and its coindices for the above graph operation. Finally, we have computed the edge a-Zagreb Index, F -index and their coindices of some important ...
متن کاملZagreb Indices and Coindices of Total Graph, Semi-Total Point Graph and Semi-Total Line Graph of Subdivision Graphs
Expressions for the Zagreb indices and coindices of the total graph, semi-total point graph and of semi-total line graph of subdivision graphs in terms of the parameters of the parent graph are obtained, thus generalizing earlier existing results.
متن کاملMore on Zagreb Coindices of Composite Graphs
For a nontrivial graph G, its first and second Zagreb coindices are defined [1], respectively, as M1(G) = ∑ uv ∈E(G) (dG(u)+dG(v)) and M2(G) = ∑ uv ∈E(G) dG(u)dG(v), where dG(x) is the degree of vertex x in G. In this paper, we obtained some new properties of Zagreb coindices. We mainly give explicit formulae for the first Zagreb coindex of line graphs and total graphs. Mathematics Subject Clas...
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ژورنال
عنوان ژورنال: Iranian Journal of Mathematical Sciences and Informatics
سال: 2023
ISSN: ['1735-4463', '2008-9473']
DOI: https://doi.org/10.52547/ijmsi.18.1.165