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- Cycle_decomposition_(graph_theory) abstract "In graph theory, a cycle decomposition is a partitioning of the edges of a graph into subsets, such that the edges in each subset lie on a cycle.Given a graph separate this graph into proper subgraphs in such a way that no two subgraphs have a common edge and the union of these subgraphs will give us the original graph. We call the set of these subgraphs the decomposition of .A cycle decomposition is a decomposition such that each subgraph in the decomposition is a cycle. Every vertex in a graph that has a cycle decomposition must have even degree. is a spanning subgraph of , if is obtained from graph only by the removal of edges. Therefore, graph has all the vertices of graph .A spanning subgraph of a graph is called an r-factor of if is regular of degree . That is, all the vertices of have the same degree, namely r.A spanning subgraph of graph is called a 1-factor of if is regular of degree 1. Thus, no two edges of a 1-factor share a vertex and there are no isolated vertices. To have a 1-factor, a graph must have an even number of vertices. 1-factors are also called matchings.".
- Cycle_decomposition_(graph_theory) wikiPageID "27268816".
- Cycle_decomposition_(graph_theory) wikiPageRevisionID "603537377".
- Cycle_decomposition_(graph_theory) hasPhotoCollection Cycle_decomposition_(graph_theory).
- Cycle_decomposition_(graph_theory) subject Category:Graph_theory.
- Cycle_decomposition_(graph_theory) comment "In graph theory, a cycle decomposition is a partitioning of the edges of a graph into subsets, such that the edges in each subset lie on a cycle.Given a graph separate this graph into proper subgraphs in such a way that no two subgraphs have a common edge and the union of these subgraphs will give us the original graph. We call the set of these subgraphs the decomposition of .A cycle decomposition is a decomposition such that each subgraph in the decomposition is a cycle.".
- Cycle_decomposition_(graph_theory) label "Cycle decomposition (graph theory)".
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- Cycle_decomposition_(graph_theory) sameAs Q5198158.
- Cycle_decomposition_(graph_theory) sameAs Q5198158.
- Cycle_decomposition_(graph_theory) wasDerivedFrom Cycle_decomposition_(graph_theory)?oldid=603537377.
- Cycle_decomposition_(graph_theory) isPrimaryTopicOf Cycle_decomposition_(graph_theory).