- Tytuł:
- Towards a characterization of bipartite switching classes by means of forbidden subgraphs
- Autorzy:
-
Hage, Jurriaan
Harju, Tero - Powiązania:
- https://bibliotekanauki.pl/articles/743415.pdf
- Data publikacji:
- 2007
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
switching classes
bipartite graphs
forbidden subgraphs
combinatorial search - Opis:
- We investigate which switching classes do not contain a bipartite graph. Our final aim is a characterization by means of a set of critically non-bipartite graphs: they do not have a bipartite switch, but every induced proper subgraph does. In addition to the odd cycles, we list a number of exceptional cases and prove that these are indeed critically non-bipartite. Finally, we give a number of structural results towards proving the fact that we have indeed found them all. The search for critically non-bipartite graphs was done using software written in C and Scheme. We report on our experiences in coping with the combinatorial explosion.
- Źródło:
-
Discussiones Mathematicae Graph Theory; 2007, 27, 3; 471-483
2083-5892 - Pojawia się w:
- Discussiones Mathematicae Graph Theory
- Dostawca treści:
- Biblioteka Nauki