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Forbidden induced bipartite graphs

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Allen, Peter (2009) Forbidden induced bipartite graphs. Journal of Graph Theory, Vol.60 (No.3). pp. 219-241. doi:10.1002/jgt.20355

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Official URL: http://dx.doi.org/10.1002/jgt.20355

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Abstract

Given a fixed bipartite graph H, we study the asymptotic speed of growth of the number of bipartite graphs on n vertices which do not contain an induced copy of H. Whenever H contains either a cycle or the bipartite complement of a cycle, the speed of growth is . For every other bipartite graph except the path on seven vertices, we are able to find both upper and lower bounds of the form . In many cases we are able to determine the correct value of c. © 2008 Wiley Periodicals

Item Type: Journal Article
Divisions: Faculty of Science > Mathematics
Journal or Publication Title: Journal of Graph Theory
Publisher: John Wiley & Sons Ltd.
ISSN: 0364-9024
Official Date: 2009
Dates:
DateEvent
2009Published
Volume: Vol.60
Number: No.3
Page Range: pp. 219-241
DOI: 10.1002/jgt.20355
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access

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