<div>In the image above vertex&nbsp;<span class="ltx_Math" contenteditable="false" data-equation="1,2">\(1,2\)</span>&nbsp;and&nbsp;<span class="ltx_Math" contenteditable="false" data-equation="3">\(3\)</span>&nbsp;are kings because they can each get to every other vertex in at most <span class="ltx_Math" contenteditable="false" data-equation="2">\(2\)</span>&nbsp;steps. Lets take a look at vertex <span class="ltx_Math" contenteditable="false" data-equation="1">\(1\)</span>, <span class="ltx_Math" contenteditable="false" data-equation="1\rightarrow3">\(1\rightarrow3\)</span>,&nbsp;<span class="ltx_Math" contenteditable="false" data-equation="1\rightarrow3\rightarrow2">\(1\rightarrow3\rightarrow2\)</span>, and&nbsp;<span class="ltx_Math" contenteditable="false" data-equation="1\rightarrow3\rightarrow4">\(1\rightarrow3\rightarrow4\)</span>. The reason why vertex&nbsp;<span class="ltx_Math" contenteditable="false" data-equation="4">\(4\)</span>&nbsp;is not a king is because it would take more than <span class="ltx_Math" contenteditable="false" data-equation="2">\(2\)</span>&nbsp;steps to reach vertex <span class="ltx_Math" contenteditable="false" data-equation="2">\(2\)</span>.<br></div>