Rainbow stackings of random edge‐colorings

Abstract A rainbow stacking of ‐edge‐colorings of the complete graph on vertices is a way of superimposing so that no edges of the same color are superimposed on each other. We determine a sharp threshold for (as a function of and ) governing the existence and nonexistence of rainbow stackings of random ‐edge‐colorings .

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Publication Details

Journal
Bulletin of the London Mathematical Society
Published
2025-03-13
DOI
https://doi.org/10.1112/blms.70052
Primary Topic
Advanced Graph Theory Research
Type
article
Field-Weighted Citation Impact
0.00

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article

Rainbow stackings of random edge‐colorings

Colin Defant, Noah Kravitz, Noga Alon
Bulletin of the London Mathematical Society
Advanced Graph Theory Research
article

Rainbow stackings of random edge‐colorings

Colin Defant, Noah Kravitz, Noga Alon
article en

Abstract

Abstract A rainbow stacking of ‐edge‐colorings of the complete graph on vertices is a way of superimposing so that no edges of the same color are superimposed on each other. We determine a sharp threshold for (as a function of and ) governing the existence and nonexistence of rainbow stackings of random ‐edge‐colorings .

Bulletin of the London Mathematical SocietyVol. 57(6)
Tel Aviv University (IL), Princeton University (US), Harvard University Press (US)
National Science Foundation, Harvard University
Openalex Percentile: Top 94%
Advanced Graph Theory Research
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