Saturated graphs with minimal number of edges


Let F = {F,, . . .} be a given class of forbidden graphs. A graph G is called F-saturated if no F, E F is a subgraph of G but the addition of an arbitrary new edge gives a forbidden subgraph. In this paper the minimal number of edges in F-saturated graphs is examined. General estimations are given and the structure of minimal graphs is described for some special forbidden graphs (stars, paths, rn pairwise disjoint edges).

DOI: 10.1002/jgt.3190100209

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@article{Kszonyi1986SaturatedGW, title={Saturated graphs with minimal number of edges}, author={L. K{\'a}szonyi and Zsolt Tuza}, journal={Journal of Graph Theory}, year={1986}, volume={10}, pages={203-210} }