en Applications Applications پژوهشي Research <span style="font-size:11.5pt"><span new="" roman="" style="font-family:" times="">During the process of continuum topology optimization some pattern discontinuities may arise. It is an important challenge to overcome such irregularities in order to achieve or interpret the true optimal layout. The present work offers an efficient algorithm based on graph theoretical approach regarding density priorities. The developed method can recognize and handle solid continuous regions in a pre-optimized media. An illustrative example shows how the proposed priority guided trees can successfully distinguish the most crucial parts of the continuum during topology optimization.</span></span><br> &nbsp; Continuum topology optimization, graph theory, natural associated graph, priority guided tree. 163 172 http://ijoce.iust.ac.ir/browse.php?a_code=A-10-66-399&slc_lang=en&sid=1 M. Shahrouzi shahruzi@khu.ac.ir 180031947532846002493 180031947532846002493 Yes Civil Engineering Department, Faculty of Engineering, Kharazmi University, Tehran & Karaj, Iran