Quaternionic 1-factorizations and complete sets of rainbow spanning trees
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Publication:2689122
DOI10.1007/s00373-023-02610-6OpenAlexW4318241251MaRDI QIDQ2689122
Publication date: 9 March 2023
Published in: Graphs and Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.01653
startercomplete graphsharply transitive permutation groupsrainbow spanning treesregular 1-factorizations
Trees (05C05) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Coloring of graphs and hypergraphs (05C15) Graph designs and isomorphic decomposition (05C51)
Cites Work
- Edge-disjoint rainbow spanning trees in complete graphs
- Linearly many rainbow trees in properly edge-coloured complete graphs
- Symmetric 1-factorizations of the complete graph
- Cyclic one-factorization of the complete graph
- Rainbow spanning trees in properly coloured complete graphs
- Rainbow spanning tree decompositions in complete graphs colored by cyclic 1-factorizations
- Spanning tree decompositions of complete graphs orthogonal to rotational 1-factorizations
- Decompositions into isomorphic rainbow spanning trees
- Frattini-based starters in 2-groups
- Quaternionic starters
- One-factorizations of complete graphs with vertex-regular automorphism groups
- Multicolored Isomorphic Spanning Trees in Complete Graphs
- One-Factorizations of Complete Graphs with a Doubly Transitive Automorphism Group
- Rainbow spanning trees in complete graphs colored by one‐factorizations
- Sharply transitive 1‐factorizations of the complete graph with an invariant 1‐factor
- Decompositions into spanning rainbow structures
- Endliche Gruppen I
- Nilpotent 1-factorizations of the complete graph
- Multicolored trees in complete graphs
- Multicolored trees in complete graphs
- Abelian 1-factorizations of the complete graph
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