Graceful tree conjecture for infinite trees
The electronic journal of combinatorics, Tome 16 (2009) no. 1
One of the most famous open problems in graph theory is the Graceful Tree Conjecture, which states that every finite tree has a graceful labeling. In this paper, we define graceful labelings for countably infinite graphs, and state and verify a Graceful Tree Conjecture for countably infinite trees.
DOI :
10.37236/154
Classification :
05C78, 05C05
Mots-clés : graceful tree conjecture, countably infinite trees, gaceful labeling
Mots-clés : graceful tree conjecture, countably infinite trees, gaceful labeling
@article{10_37236_154,
author = {Tsz Lung Chan and Wai Shun Cheung and Tuen Wai Ng},
title = {Graceful tree conjecture for infinite trees},
journal = {The electronic journal of combinatorics},
year = {2009},
volume = {16},
number = {1},
doi = {10.37236/154},
zbl = {1188.05110},
url = {http://geodesic.mathdoc.fr/articles/10.37236/154/}
}
Tsz Lung Chan; Wai Shun Cheung; Tuen Wai Ng. Graceful tree conjecture for infinite trees. The electronic journal of combinatorics, Tome 16 (2009) no. 1. doi: 10.37236/154
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