Toward a three-dimensional counterpart of Cruse's theorem
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Publication:6490371
DOI10.1090/PROC/16714MaRDI QIDQ6490371
Publication date: 23 April 2024
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
embeddingedge coloringBaranyai's theoremLatin squaredetachmentamalgamationlist coloringone-factorizationRyser's theoremCruse's theoremEvan's theorem
Hypergraphs (05C65) Orthogonal arrays, Latin squares, Room squares (05B15) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Coloring of graphs and hypergraphs (05C15)
Cites Work
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- Hall's theorem and extending partial Latinized rectangles
- On the numbers of 1-factors and 1-factorizations of hypergraphs
- Sudoku-like arrays, codes and orthogonality
- Some partial Latin cubes and their completions
- Embedding partial idempotent d-ary quasigroups
- Latin parallelepipeds and cubes
- A finite partial idempotent latin cube can be embedded in a finite idempotent latin cube
- Orthogonal arrays. Theory and applications
- Sets of mutually orthogonal Sudoku frequency squares
- On the finite completion of partial latin cubes
- Non-extendible Latin parallelepipeds
- On embedding incomplete symmetric Latin squares
- Maximal partial Latin cubes
- Embedding in \(q\)-ary 1-perfect codes and partitions
- Nonextendible Latin Cuboids
- Detachments of Hypergraphs I: The Berge–Johnson Problem
- Embedding Incomplete Latin Squares
- Extending an edge-coloring
- A Census of Small Latin Hypercubes
- New Bounds on the List-Chromatic Index of the Complete Graph and Other Simple Graphs
- Embedding Factorizations for 3-Uniform Hypergraphs
- The geometry of diagonal groups
- A Combinatorial Theorem with an Application to Latin Rectangles
- An existence theorem for latin squares
- Symmetric Layer-Rainbow Colorations of Cubes
- Constructions of pairs of orthogonal latin cubes
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