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On hereditary properties of the class of graphs with convex quadratic stability number
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Cardoso, D. M. and Lozin, Vadim V. (2012) On hereditary properties of the class of graphs with convex quadratic stability number. Journal of Mathematical Sciences, Vol.182 (No.2). pp. 227-232. doi:10.1007/s10958-012-0743-1 ISSN 1072-3374.
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Official URL: http://dx.doi.org/10.1007/s10958-012-0743-1
Abstract
We show that the class of graphs with quadratic stability number is not hereditary. Then we prove that this class contains a unique maximal hereditary subclass and, finally, we characterize this subclass by two forbidden induced subgraphs. © 2012 Springer Science+Business Media, Inc.
Item Type: | Journal Article | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Journal of Mathematical Sciences | ||||
Publisher: | Springer | ||||
ISSN: | 1072-3374 | ||||
Official Date: | 2012 | ||||
Dates: |
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Volume: | Vol.182 | ||||
Number: | No.2 | ||||
Page Range: | pp. 227-232 | ||||
DOI: | 10.1007/s10958-012-0743-1 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published |
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