Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: A labeling of a graph is a mapping that carries some set of graph elements into numbers (usually the positive integers). An (a, d)-edge-antimagic total labeling of a graph with p vertices and q edges is a one-to-one mapping that takes the vertices and edges onto the integers 1, 2, ... ,p + q, such that the sums of the label on the edges and the labels of their end points form an arithmetic sequence starting from a and having a common difference d. Such a labeling is called super if the smallest possible labels appear on the vertices.    study the super (a, 2)-edge-antimagic total labelings of disconnected graphs.  also present some necessary conditions for the existence of (a, d)-edge-antimagic total labelings for d even.
['Martin Bača', 'Francesc A. Muntaner-Batle', 'Andrea Semanicova-Fenovcikova', 'Muhammad Kashif Shafiq']
I am writing a research paper on a idea ON SUPER (a, 2)-EDGE-ANTIMAGIC TOTAL LABELING OF DISCONNECTED GRAPHS
[{"from": "human", "value": "I am writing a research paper on a idea ON SUPER (a, 2)-EDGE-ANTIMAGIC TOTAL LABELING OF DISCONNECTED GRAPHS"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: A labeling of a graph is a mapping that carries some set of graph elements into numbers (usually the positive integers). An (a, d)-edge-antimagic total labeling of a graph with p vertices and q edges is a one-to-one mapping that takes the vertices and edges onto the integers 1, 2, ... ,p + q, such that the sums of the label on the edges and the labels of their end points form an arithmetic sequence starting from a and having a common difference d. Such a labeling is called super if the smallest possible labels appear on the vertices.    study the super (a, 2)-edge-antimagic total labelings of disconnected graphs.  also present some necessary conditions for the existence of (a, d)-edge-antimagic total labelings for d even."}]