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g-Convex Weight Sequences

Author

Listed:
  • Prakash Veeraraghavan

    (Department of Computer Science and Information Technology, La Trobe University, Bundoora, VIC 3086, Australia)

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.

Suggested Citation

  • Prakash Veeraraghavan, 2018. "g-Convex Weight Sequences," Mathematics, MDPI, vol. 6(4), pages 1-16, April.
    • Handle: RePEc:gam:jmathe:v:6:y:2018:i:4:p:54-:d:139757
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