On hereditary properties of the class of graphs with convex quadratic stability number
β Scribed by D. M. Cardoso; V. V. Lozin
- Book ID
- 113072798
- Publisher
- Springer US
- Year
- 2012
- Tongue
- English
- Weight
- 132 KB
- Volume
- 182
- Category
- Article
- ISSN
- 1573-8795
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π SIMILAR VOLUMES
A hereditary property of graphs is a class of graphs which is closed under taking induced subgraphs. For a hereditary property \(\mathscr{P}\), let \(\mathscr{P}_{n}\) denote the set of \(\mathscr{P}\) graphs on \(n\) labelled vertices. Clearly we have \(0 \leqslant\left|\mathscr{P}_{n}\right| \leqs
A class of graphs is hereditary if it is closed under taking induced subgraphs. Classes associated with graph representations have "composition sequences" and we show that this concept is equivalent to a notion of "amalgamation" which generalizes disjoint union of graphs. We also discuss how general