(k,d)-Balanced of Uniform k-Distant Trees

Authors

  • M. Murugan

DOI:

https://doi.org/10.11113/matematika.v29.n.579

Abstract

A k-distant tree consists of a main path called the "spine", such that each vertex on the spine is joined by an edge to at most one path on k-vertices. Those paths are called "tails" (i.e. each tail must be incident with a vertex on the spine). When every vertex on the spine has exactly one incident tail of length k, we call the tree a uniform k-distant tree. In this paper, we show that all uniform k-distant trees are graceful, skolem graceful, odd graceful, k-graceful, (k, d)-graceful and (k, d)-balanced. Keywords :Uniform k-distant tree; skolem-graceful; odd graceful; k-graceful; (k, d)-graceful; (k, d)-balanced. 2010 Mathematics Subject Classification: 05C78.

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Published

2013-06-01

How to Cite

Murugan, M. . (2013). (k,d)-Balanced of Uniform k-Distant Trees. MATEMATIKA: Malaysian Journal of Industrial and Applied Mathematics, 29, 65–71. https://doi.org/10.11113/matematika.v29.n.579

Issue

Section

Mathematics