g-Convex Weight Sequences

Prakash Veeraraghavan
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Prakash Veeraraghavan: Department of Computer Science and Information Technology, La Trobe University, Bundoora, VIC 3086, Australia

Mathematics, 2018, vol. 6, issue 4, 1-16

Abstract: 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.

Keywords: convexity; gcws; branch weight centroid; g-centroid (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
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