Zagreb indices of transformation graphs and total transformation graphs

Zagreb indices of transformation graphs and total transformation graphs

The first Zagreb index of a graph G is the sum of squares of the degrees of the vertices of G. Expressions for the first Zagreb index and first Zagreb coindex are obtained for total, semitotal-line (or middle), and semitotal-point graphs, as well as of eight distinct types of total transformation gr...

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Veröffentlicht in:Applied mathematics and computation 2014-11, Vol.247, p.1156-1160
Hauptverfasser: Hosamani, Sunilkumar M., Gutman, Ivan
Format: Artikel
Sprache:eng
Schlagworte:
Computation
Graphs
Mathematical models
Semi-total graph
Total graph
Total transformation graphs
Transformation graphs
Transformations
Transformations (mathematics)
Zagreb coindex
Zagreb index
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Zusammenfassung:The first Zagreb index of a graph G is the sum of squares of the degrees of the vertices of G. Expressions for the first Zagreb index and first Zagreb coindex are obtained for total, semitotal-line (or middle), and semitotal-point graphs, as well as of eight distinct types of total transformation graphs Gxyz.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2014.09.080