On the entire Zagreb indices of the line graph and line cut-vertex graph of the subdivision graph
Let \(G=(V,E)\) be a graph. Then the first and second entire Zagreb indices of \(G\) are defined, respectively, as \(M^{ε}_{1}(G)=∑_{x∈V(G)∪E(G)}(d_{G}(x))^{2}\) and \(M^{ε}_{2}(G)=∑_{{x,y}∈B(G)}d_{G}(x)d_{G}(y)\), where \(B(G)\) denotes the set of all 2-element subsets \({x,y}\) such that \({x...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Ptolemy Scientific Research Press
2020-12-01
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Series: | Open Journal of Mathematical Sciences |
Subjects: | |
Online Access: | https://pisrt.org/psr-press/journals/oms-vol-4-2020/on-the-entire-zagreb-indices-of-the-line-graph-and-line-cut-vertex-graph-of-the-subdivision-graph/ |