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FRAMES, A-PATHS, AND THE ERDŐS--PÓSA PROPERTY.
- Source :
-
SIAM Journal on Discrete Mathematics . 2018, Vol. 32 Issue 2, p1246-1260. 15p. - Publication Year :
- 2018
-
Abstract
- A key feature of Simonovits' proof of the classic Erdőos--Pósa theorem is a simple subgraph of the host graph, a frame, that determines the outcome of the theorem. We transfer this frame technique to A-paths. With it we deduce a simple proof of Gallai's theorem, although with a worse bound, and we verify the Erdős--Pósa property for long and for even A-paths. We also show that even A-paths do not have the edge-Erdős--Pósa property. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 08954801
- Volume :
- 32
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- SIAM Journal on Discrete Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 130882810
- Full Text :
- https://doi.org/10.1137/17M1148542