Decompositions of Complete Graphs into Bipartite 2-Regular Subgraphs
Copyright policy )Decompositions of Complete Graphs into Bipartite 2-Regular Subgraphs
It is shown that if $G$ is any bipartite 2-regular graph of order at most $n/2$ or at least $n-2$, then the obvious necessary conditions are sufficient for the existence of a decomposition of the complete graph of order $n$ into a perfect matching and edge-disjoint copies of $G$.
- University of Queensland Australia
- University of Queensland Australia
Other designs, configurations, 2604 Applied Mathematics, graph decompositions, Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.), Graph designs and isomorphic decomposition, 2607 Discrete Mathematics and Combinatorics, 2608 Geometry and Topology, 2614 Theoretical Computer Science, 1703 Computational Theory and Mathematics
Other designs, configurations, 2604 Applied Mathematics, graph decompositions, Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.), Graph designs and isomorphic decomposition, 2607 Discrete Mathematics and Combinatorics, 2608 Geometry and Topology, 2614 Theoretical Computer Science, 1703 Computational Theory and Mathematics
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