- Tytuł:
- The edge C₄ graph of some graph classes
- Autorzy:
-
Menon, Manju
Vijayakumar, A. - Tematy:
-
edge C₄ graph
threshold graph
block graph
geodetic graph
weakly geodetic graph - Pokaż więcej
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Powiązania:
- https://bibliotekanauki.pl/articles/744285.pdf Link otwiera się w nowym oknie
- Opis:
- The edge C₄ graph of a graph G, E₄(G) is a graph whose vertices are the edges of G and two vertices in E₄(G) are adjacent if the corresponding edges in G are either incident or are opposite edges of some C₄. In this paper, we show that there exist infinitely many pairs of non isomorphic graphs whose edge C₄ graphs are isomorphic. We study the relationship between the diameter, radius and domination number of G and those of E₄(G). It is shown that for any graph G without isolated vertices, there exists a super graph H such that C(H) = G and C(E₄(H)) = E₄(G). Also we give forbidden subgraph characterizations for E₄(G) being a threshold graph, block graph, geodetic graph and weakly geodetic graph.
- Dostawca treści:
- Biblioteka Nauki
Artykuł