English

Growing Graceful and Harmonious Trees

Combinatorics 2020-05-01 v7

Abstract

We describe symbolic constructions for listing and enumerating graphs having the same induced edge label sequence. We settle in the affirmative R. Whitty's [W08] conjectured existence of determinantal constructions for listing and enumerating gracefully labeled trees. We conclude the paper with a description of a new graceful labeling algorithm.

Keywords

Cite

@article{arxiv.1808.05551,
  title  = {Growing Graceful and Harmonious Trees},
  author = {Edinah K. Gnang and Isaac Wass},
  journal= {arXiv preprint arXiv:1808.05551},
  year   = {2020}
}
R2 v1 2026-06-23T03:35:59.343Z