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A linear-programming approach to the generalized Randić index

✍ Scribed by Miranca Fischermann; Arne Hoffmann; Dieter Rautenbach; Lutz Volkmann


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
129 KB
Volume
128
Category
Article
ISSN
0166-218X

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✦ Synopsis


The generalized Randià c index R (G) of a graph G is the sum of (dG(u)dG(v)) over all edges uv of G. Using a linear-programming approach, we establish results on graphs with a given number of vertices and edges and a bounded maximum degree that are of minimum generalized Randià c index for ∈ {-1 2 ; -1}.


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