The Saturation Function of Complete Partite Graphs
نویسندگان
چکیده
A graph G is called F -saturated if it is F -free but the addition of any missing edge to G creates a copy of F . Let the saturation function sat(n, F ) be the minimum number of edges that an F -saturated graph on n vertices can have. We determine this function asymptotically for every fixed complete partite graph F as n tends to infinity and give some structural information about almost extremal F -saturated graphs. If the two largest parts of F have different sizes, then we can reduce the error term to an additive constant.
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