dc.description.abstract |
Abstract. The edge C4 graph E4(G) of a graph G has all the edges of Gas its
vertices, two vertices in E4(G) are adjacent if their corresponding edges in G are
either incident or are opposite edges of some C4. In this paper, characterizations
for E4(G)
being connected, complete, bipartite, tree etc are given. We have
also proved that E4(G) has no forbidden subgraph characterization. Some
dynamical behaviour such as convergence, mortality and touching number are also studied |
en_US |