g-convex weight sequences (Q1649131)
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scientific article; zbMATH DE number 6898746
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | g-convex weight sequences |
scientific article; zbMATH DE number 6898746 |
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g-convex weight sequences (English)
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5 July 2018
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Summary: In this paper, we introduce the notion of g-convex weight sequence (gcws) for connected graphs based on the concept of g-convexity and g-weight. g-weight is a natural generalization of the notion of branch weight for trees. We investigate the various questions of realization of an integer sequence as a g-convex weight sequence for trees and some special classes of graphs such as complete graphs, windmill and degenerate windmill graphs and wheels.
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convexity
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g-convex weight sequence
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branch weight centroid
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g-centroid
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