Research note: Domination of exact deg-centric Jaco graphs

<p>The exact deg-centric graph of a simple graph <span class="math inline">\(G\)</span>, denoted by <span class="math inline">\(G_{ed}\)</span>, is a graph constructed from <span class="math inline">\(G\)</span> such that <span class="math inline">\(V(G_{ed}) = V(G)\)</span> and <span class="math inline">\(E(G_{ed}) = \{v_iv_j: d_G(v_i,v_j) = deg_G(v_i)\}\)</span>. This research note presents the domination numbers of both the Jaco graph <span class="math inline">\(J_n(x)\)</span> and the exact deg-centric graph of the family of Jaco graphs. The respective complement graphs are also addressed.</p>