G-CONVEX WEIGHT SEQUENCES

g-Convex Weight Sequences

g-Convex Weight Sequences

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In roneverhart.com 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 apac1/60/1/cw degenerate windmill graphs and wheels.

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