Graceful Tree Conjecture for Infinite Trees

Tsz Lung Chan, Wai Shun Cheung, Tuen Wai Ng


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.

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