MathDBBroersma–Hoede strongly graceful tree conjecture
Broersma–Hoede strongly graceful tree conjecture
A strongly graceful labeling is the strong graceful-labeling notion for trees used in the source. Broersma–Hoede conjecture. Every tree containing a perfect matching is strongly graceful. The source says that Wang and Yao proved this conjecture equivalent to the graceful tree conjecture; no resolution of either conjecture is supplied here.
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Primary source
Bing Yao, Chao Yang, Xia Liu, Fei Ma, Jing Su, Hui Sun, Xiaohui Zhang and Yarong Mu, “Strings And Colorings Of Topological Coding Towards Asymmetric Topology Cryptography”, arXiv:2209.15312 (2022).
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