Advances and Applications in Discrete Mathematics
Volume 35, , Pages 1 - 10
(November 2022) http://dx.doi.org/10.17654/0974165822046 |
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DOWNWARD UNARY COLORINGS
Yonah Cherniavsky and Adi Jarden
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Abstract: We introduce downward unary colorings, a particular case of additive colorings and show that it is a key notion in generalizing coloring theorems from the context of additive colorings to the context of locally-additive colorings. In addition, we give a full characterization of the downward unary colorings.
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Keywords and phrases: Ramsey, colorings, additive colorings.
Received: August 3, 2022; Revised: September 28, 2022; Accepted: October 18, 2022; Published: November 2, 2022
How to cite this article: Yonah Cherniavsky and Adi Jarden, Downward unary colorings, Advances and Applications in Discrete Mathematics 35 (2022), 1-10. http://dx.doi.org/10.17654/0974165822046
This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License
References:
[1] Adi Jarden and Ziv Shami, A note on edge colorings and trees, Mathematical Logic Quarterly 167 (2022), 447-457. [2] Saharon Shelah, The monadic theory of order, Annals of Mathematics 102(3) (1975), 379-419.
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