id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-5602	Sumbalan, Sheryl Jane; Menchavez, Sheila; Jamil, Ferdinand	On Total Double Italian Domination in Graphs	2025	18	.pdf	application/pdf	9187	651	88	The corona of G and H, G ◦H, is the graph obtained by taking one copy of G and |V (G)| copies of H and then joining the ith vertex of G to every vertex of the ith copy of H. The edge corona, denoted by G ⋄H, of G and H is a graph obtained by taking one copy of G and |E(G)| copies of H and joining each of the end vertices u and v of each edge uv of G to every vertex of the copy Huv of H. The complementary prism, denoted GG, is formed from the disjoint union of G and its complement G by adding a perfect matching between corresponding vertices of G and G. The gluing of G and H along a common subgraph K is the graph G ⊔K H by combining G and H through K. Graphs C4 ⊔P3 C4 and C4 ⊔K2 K3 are given in Figure 1. The join of graphs G and H is the graph G +H with vertex set V (G +H) = V (G) ∪ V (H) and edge set E(G +H)	cache/ejpam-5602.pdf	txt/ejpam-5602.txt