Construction of a <a href="https://en.wikipedia.org/wiki/distance-hereditary_graph" class="extiw" title="en:distance-hereditary graph">en:distance-hereditary graph</a> using the construction operators for <a href="https://en.wikipedia.org/wiki/clique-width" class="extiw" title="en:clique-width">en:clique-width</a>, with three vertex colors. The existence of this construction shows that the graph resulting from it (at the bottom of the image) has clique-width at most 3.
<a href="//commons.wikimedia.org/wiki/User:David_Eppstein" class="mw-redirect" title="User:David Eppstein">David Eppstein</a>
<span class="int-own-work" lang="en">Own work</span>