- Tytuł:
- Graph Exponentiation and Neighborhood Reconstruction
- Autorzy:
- Hammack, Richard H.
- Powiązania:
- https://bibliotekanauki.pl/articles/32083841.pdf
- Data publikacji:
- 2021-02-01
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
neighborhood reconstructible graphs
graph exponentiation - Opis:
- Any graph $G$ admits a neighborhood multiset \(\mathscr{N}(G) = \{N_G(x) | x ∈ V (G)\}\) whose elements are precisely the open neighborhoods of $G$. We say $G$ is neighborhood reconstructible if it can be reconstructed from \(\mathscr{N}(G)\), that is, if \(G ≅ H\) whenever \(\mathscr{N}(G) = \mathscr{N}(H)\) for some other graph $H$. This note characterizes neighborhood reconstructible graphs as those graphs $G$ that obey the exponential cancellation \(G^{K_2} ≅ H^{K_2} ⇒ G ≅ H\).
- Źródło:
-
Discussiones Mathematicae Graph Theory; 2021, 41, 1; 335-339
2083-5892 - Pojawia się w:
- Discussiones Mathematicae Graph Theory
- Dostawca treści:
- Biblioteka Nauki
Artykuł