- Tytuł:
- On 2-periodic graphs of a certain graph operator
- Autorzy:
-
Havel, Ivan
Zelinka, Bohdan - Powiązania:
- https://bibliotekanauki.pl/articles/743413.pdf
- Data publikacji:
- 2001
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
graph operator
power and complement of a graph
Desarguesian finite projective geometry
decomposition of a complete bipartite graph
generalized hypercube - Opis:
- We deal with the graph operator $\overline{Pow₂}$ defined to be the complement of the square of a graph: $\overline{Pow₂}(G) = \overline{Pow₂(G)}$. Motivated by one of many open problems formulated in [6] we look for graphs that are 2-periodic with respect to this operator. We describe a class of bipartite graphs possessing the above mentioned property and prove that for any m,n ≥ 6, the complete bipartite graph $K_{m,n}$ can be decomposed in two edge-disjoint factors from . We further show that all the incidence graphs of Desarguesian finite projective geometries belong to and find infinitely many graphs also belonging to among generalized hypercubes.
- Źródło:
-
Discussiones Mathematicae Graph Theory; 2001, 21, 1; 13-30
2083-5892 - Pojawia się w:
- Discussiones Mathematicae Graph Theory
- Dostawca treści:
- Biblioteka Nauki
Artykuł