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The saturation function of complete partite graphs

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Bohman, Tom, Fonoberova, Maria and Pikhurko, Oleg (2011) The saturation function of complete partite graphs. Journal of Combinatorics, Vol.1 (No.2). pp. 149-170. doi:10.1137/090751530

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Official URL: http://dx.doi.org/10.1137/090751530

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Abstract

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.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Mathematics
Journal or Publication Title: Journal of Combinatorics
Publisher: International Press
ISSN: 1942-5600
Official Date: 2011
Dates:
DateEvent
2011Published
Volume: Vol.1
Number: No.2
Page Range: pp. 149-170
DOI: 10.1137/090751530
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access

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