Broersma–Hoede strongly graceful tree conjecture

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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.

References

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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