Advances and Applications in Discrete Mathematics

The Advances and Applications in Discrete Mathematics is a prestigious peer-reviewed journal indexed in the Emerging Sources Citation Index (ESCI). It is dedicated to publishing original research articles in the field of discrete mathematics and combinatorics, including topics such as graphs, coding theory, and block design. The journal emphasizes efficient and powerful tools for real-world applications and welcomes expository articles that highlight current developments in the field.

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DOWNWARD UNARY COLORINGS

Authors

  • Yonah Cherniavsky
  • Adi Jarden

Keywords:

Ramsey, colorings, additive colorings.

DOI:

https://doi.org/10.17654/0974165822046

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.

Received: August 3, 2022
Revised: September 28, 2022
Accepted: October 18, 2022

References

Adi Jarden and Ziv Shami, A note on edge colorings and trees, Mathematical Logic Quarterly 167 (2022), 447-457.

Saharon Shelah, The monadic theory of order, Annals of Mathematics 102(3) (1975), 379-419.

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Published

2022-11-02

Issue

Vol. 35 (2022)

Section

Articles

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How to Cite

DOWNWARD UNARY COLORINGS. (2022). Advances and Applications in Discrete Mathematics, 35, 1-10. https://doi.org/10.17654/0974165822046