Complete-factors and f-factors
Copyright policy )Complete-factors and f-factors
Let \(G\) be a graph and \(F\) a spanning subgraph of \(G\) with at least two components and with all components complete. Let \(f\) be an integer-valued function defined on \(V(G)\) with \(\sum_{x \in V(G)} f(x)\) even. If for each component \(C\) of \(F\), \(G - V(C)\) has an \(f\)-factor (that is, a spanning subgraph \(H\) in which \(\deg_H(x) = f(x)\) for all \(x \in V(G)\)), then \(G\) has an \(f\)-factor.
- Keio University Japan
- Tokyo Denki University Japan
\(f\)-factor, Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.), Discrete Mathematics and Combinatorics, Structural characterization of families of graphs, graph, Theoretical Computer Science
\(f\)-factor, Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.), Discrete Mathematics and Combinatorics, Structural characterization of families of graphs, graph, Theoretical Computer Science
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