- Tytuł:
- A Survey of the Path Partition Conjecture
- Autorzy:
- Frick, Marietjie
- Powiązania:
- https://bibliotekanauki.pl/articles/30146727.pdf
- Data publikacji:
- 2013-03-01
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
Path Partition Conjecture
Path Kernel Conjecture
generalized colourings
additive hereditary properties - Opis:
- The Path Partition Conjecture (PPC) states that if G is any graph and (λ1, λ2) any pair of positive integers such that G has no path with more than λ1 + λ2 vertices, then there exists a partition (V1, V2) of the vertex set of G such that Vi has no path with more than λi vertices, i = 1, 2. We present a brief history of the PPC, discuss its relation to other conjectures and survey results on the PPC that have appeared in the literature since its first formulation in 1981.
- Źródło:
-
Discussiones Mathematicae Graph Theory; 2013, 33, 1; 117-131
2083-5892 - Pojawia się w:
- Discussiones Mathematicae Graph Theory
- Dostawca treści:
- Biblioteka Nauki
Artykuł