Zagreb Eccentricity Indices of the Generalized Hierarchical Product Graphs and Their Applications
Copyright policy )Zagreb Eccentricity Indices of the Generalized Hierarchical Product Graphs and Their Applications
LetGbe a connected graph. The first and second Zagreb eccentricity indices ofGare defined asM1*(G)=∑v∈V(G)εG2(v)andM2*(G)=∑uv∈E(G)εG(u)εG(v), whereεG(v)is the eccentricity of the vertexvinGandεG2(v)=(εG(v))2. Suppose thatG(U)⊓H(∅≠U⊆V(G))is the generalized hierarchical product of two connected graphsGandH. In this paper, the Zagreb eccentricity indicesM1*andM2*ofG(U)⊓Hare computed. Moreover, we present explicit formulas for theM1*andM2*ofS-sum graph, Cartesian, cluster, and corona product graphs by means of some invariants of the factors.
- Changji University China (People's Republic of)
- Shandong Women’s University China (People's Republic of)
Distance in graphs, Graph operations (line graphs, products, etc.), Applications of graph theory, QA1-939, Vertex degrees, Mathematics
Distance in graphs, Graph operations (line graphs, products, etc.), Applications of graph theory, QA1-939, Vertex degrees, Mathematics
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