A Proof of the Multiplicative 1-2-3 Conjecture
نویسندگان
چکیده
We prove that the product version of 1-2-3 Conjecture, raised by Skowronek-Kaziów in 2012, is true. Namely, for every connected graph with order at least 3, we can assign labels 1, 2, 3 to edges such a way no two adjacent vertices are incident same labels.
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ژورنال
عنوان ژورنال: Combinatorica
سال: 2023
ISSN: ['0209-9683', '1439-6912']
DOI: https://doi.org/10.1007/s00493-023-00003-0