On Elegant Labelling and Magic Labelling of Large-Scale Graphs

Table 1

Symbol and definition table.

Symbol/definition	Meaning
-Graph	An undirected graph with vertices and edges
	A set with ,
-set	A set contains elements
Caterpillar	A caterpillar refers to a tree whose graph obtained is a path after deleting all the leaves
Lobster	A lobster is a tree whose resultant graph is a caterpillar after removing all leaves
Spider	A spider is a tree whose vertices have at most degree 2, except only one vertex whose degree is not less than 3 and is called the center of the spider