- Tytuł:
- Digraphs with isomorphic underlying and domination graphs: connected $UG^c(d)$
- Autorzy:
-
Factor, Kim
Langley, Larry - Tematy:
-
domination graph
domination
graph isomorphism
underlying graph - Pokaż więcej
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Powiązania:
- https://bibliotekanauki.pl/articles/743665.pdf Link otwiera się w nowym oknie
- Opis:
- The domination graph of a directed graph has an edge between vertices x and y provided either (x,z) or (y,z) is an arc for every vertex z distinct from x and y. We consider directed graphs D for which the domination graph of D is isomorphic to the underlying graph of D. We demonstrate that the complement of the underlying graph must have k connected components isomorphic to complete graphs, paths, or cycles. A complete characterization of directed graphs where k = 1 is presented.
- Dostawca treści:
- Biblioteka Nauki
Artykuł