Formulation of Twin graph labelings

In this paper, two new graph labeling techniques are introduced, namely difference amicable labeling and sum amicable labeling, which together are named the twin graph labelings. Here, the formulation of labelings and verification of a few simple, finite, and undirected graphs including cubic graphs, quartic graphs, and multi-regular graphs are verified to be twin graphs. Two new mathematical board games and two coding techniques are introduced and presented as applications.