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Saidur Rahman</a> <span> – Dhaka, Bangladesh</span> </span><br/> <span> <strong>Topic(s): </strong> <a href="../topics/computational-theory-algorithms-and-mathematics">Computational Theory, Algorithms and Mathematics</a> </span> </div> <div class="row lecture__section"> <h2>Abstract</h2> Let T be an edge weighted tree and dmin, dmax be two non-negative real numbers where dmin ≤ dmax. The pairwise compatibility graph (PCG) of T for dmin, dmax is a graph G such that each vertex of G corresponds to a distinct leaf of T and two vertices are adjacent in G if and only if the weighted distance between their corresponding leaves lies within the interval [dmin, dmax]. A graph G is a PCG if there exist an edge weighted tree T and suitable dmin, dmax such that G is a PCG of T. The class of pairwise compatibility graphs was introduced to model evolutionary relationships among a set of species. Since not all graphs are PCGs, researchers become interested in recognizing and characterizing PCGs. In this talk I review the results regarding PCGs and some of its variants. I will also discuss some open problems which we are considering over the years. The talk is based on my joint works with M. N. Yanhaona, M. S. Bayzid, K. S. M. T. Hossain, S. A. Salma, S. Durocher, D. Mondal, S. Ahmed, B. B. Papan, P. B. Pranto and S. A. Hakim. </div> <div class="row lecture__section"> <h2>About this Lecture</h2> <span> <strong>Number of Slides: </strong> 70</span><br/> <span> <strong>Duration: </strong> 45 minutes </span><br/> <span> <strong>Languages Available: </strong> English</span><br/> <span> <strong>Last Updated: </strong> <span id="lecDate"></span> </span> </div> <div class="row lecture__section"> <h2>Request this Lecture</h2> <p>To request this particular lecture, please complete this <a href="https://services.acm.org/public/speakers/request_lecture.cfm?lecture_id=16390" target="_blank">online form.</a> </p> </div> <div class="row lecture__section"> <h2>Request a Tour</h2> <p>To request a tour with this speaker, please complete this <a href="https://services.acm.org/public/speakers/request_tour.cfm?lecturer_id=20169" target="_blank">online form.</a> </p> <p>All requests will be sent to ACM headquarters for review.</p> </div> </div> </div> <script> var updated = document.getElementById('lecDate'); var d = new 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