
doi: 10.1002/jgt.21654
AbstractWe consider those graphs G that admit decompositions into copies of a fixed graph F, each copy being an induced subgraph of G. We are interested in finding the extremal graphs with this property, that is, those graphs G on n vertices with the maximum possible number of edges. We discuss the cases where F is a complete equipartite graph, a cycle, a star, or a graph on at most four vertices.
Extremal problems in graph theory, decomposition, Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.), induced subgraph, extremal graph theory
Extremal problems in graph theory, decomposition, Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.), induced subgraph, extremal graph theory
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