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Journal of Combinatorial Mathematics and Combinatorial Computing

  • Research article

On Odd-gracefulness of All Symmetric Trees

Xianggian ZHou1, Bing YAo2, Ming YAo®1, Xiang’en CHEN1
1College of Mathematics and Statistics, Northwest Normal University, Lanzhou, 730070, China
2Department of Information Process and Control Engineering, Lanzhou Petrochemical College of Vocational Technology, 730060, China
  • Published: 28/02/2013

Abstract

In 1991 Gnanajothi conjectured: Each tree is odd-graceful. In this paper, we define the edge-ordered odd-graceful labeling of trees and show the odd-gracefulness of all symmetric trees.

Keywords: graceful labelling, odd-graceful trees, edge-ordered odd- graceful labelling
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Citation
Xianggian ZHou, Bing YAo, Ming YAo®, Xiang’en CHEN. On Odd-gracefulness of All Symmetric Trees[J], Journal of Combinatorial Mathematics and Combinatorial Computing, Volume 087. 309-319. DOI: .