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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
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: |
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| 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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