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Paper IPM / M / 14947 |
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Abstract: | |||||
For a given graph F, the F-saturation number of a graph G is the minimum number of edges in an edge-maximal F-free subgraph of G.
Recently, the F-saturation number of the Erdös-Rényi random graph \mathbbmslG(n, p) has been determined asymptotically for any complete graph F.
In this paper, we give an asymptotic formula for the F-saturation number of \mathbbmslG(n, p) when F is a star graph.
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