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DC Field | Value | Language |
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dc.contributor.author | Chun, C | - |
dc.contributor.author | Ding, G | - |
dc.contributor.author | Oporowski, B | - |
dc.contributor.author | Vertigan, D | - |
dc.date.accessioned | 2012-12-11T09:53:31Z | - |
dc.date.available | 2012-12-11T09:53:31Z | - |
dc.date.issued | 2009 | - |
dc.identifier.citation | Journal of Graph Theory, 60 (4): 313 - 326, Apr 2009 | en_US |
dc.identifier.issn | 0364-9024 | - |
dc.identifier.uri | http://onlinelibrary.wiley.com/doi/10.1002/jgt.20361/abstract?systemMessage=Wiley+Online+Library+will+be+disrupted+on+15+December+from+10%3A00-12%3A00+GMT+%2805%3A00-07%3A00+EST%29+for+essential+maintenance | en |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/7061 | - |
dc.description | This is the post-print version of the Article - Copyright @ 2009 Wiley Periodicals | en_US |
dc.description.abstract | A parallel minor is obtained from a graph by any sequence of edge contractions and parallel edge deletions. We prove that, for any positive integer k, every internally 4-connected graph of sufficiently high order contains a parallel minor isomorphic to a variation of K_{4,k} with a complete graph on the vertices of degree k, the k-partition triple fan with a complete graph on the vertices of degree k, the k-spoke double wheel, the k-spoke double wheel with axle, the (2k+1)-rung Möbius zigzag ladder, the (2k)-rung zigzag ladder, or K_k. We also find the unavoidable parallel minors of 1-, 2-, and 3-connected graphs. | en_US |
dc.description.sponsorship | This study is funded from NSF grant numbers DMS-0556091 and ITR-0326387. | en_US |
dc.language | English | - |
dc.language.iso | en | en_US |
dc.publisher | Wiley Periodicals | en_US |
dc.title | Unavoidable parallel minors of 4-connected graphs | en_US |
dc.type | Article | en_US |
dc.identifier.doi | http://dx.doi.org/10.1002/jgt.20361 | - |
pubs.organisational-data | /Brunel | - |
pubs.organisational-data | /Brunel/Brunel Active Staff | - |
pubs.organisational-data | /Brunel/Brunel Active Staff/School of Info. Systems, Comp & Maths | - |
Appears in Collections: | Publications Dept of Mathematics Research Papers Mathematical Sciences |
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