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- W949619150 abstract "The rst Zagreb index M1 of a graph G is equal to the sum of squares of degrees of the vertices of G. Goubko proved that for trees with n1 pendent vertices, M1 9n1 16. We show how this result can be extended to hold for any connected graph with cyclomatic number 0. In addition, graphs with n vertices, n1 pendent vertices, cyclomatic number , and minimal M1 are characterized. Explicit expressions for minimal M1 are given for = 0;1;2, which directly can be extended for > 2." @default.
- W949619150 created "2016-06-24" @default.
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- W949619150 date "2015-03-01" @default.
- W949619150 modified "2023-10-18" @default.
- W949619150 title "Graphs with fixed number of pendent vertices and minimal first Zagreb index" @default.
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