<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Dmitry Jakobson</style></author><author><style face="normal" font="default" size="100%">Calum MacRury</style></author><author><style face="normal" font="default" size="100%">Sergey Norin</style></author><author><style face="normal" font="default" size="100%">Lise Turner</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Distribution of Coefficients of Rank Polynomials for Random Sparse Graphs</style></title><secondary-title><style face="normal" font="default" size="100%">The Electronic Journal of Combinatorics</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2018</style></year></dates><volume><style face="normal" font="default" size="100%">25</style></volume><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">We study the distribution of coefficients of rank polynomials of random sparse graphs. We first discuss the limiting distribution for general graph sequences that converge in the sense of Benjamini-Schramm. Then we compute the limiting distribution and Newton polygons of the coefficients of the rank polynomial of random &lt;span class=&quot;mjx-chtml MathJax_CHTML&quot; data-mathml=&quot;&lt;math xmlns=&amp;quot;http://www.w3.org/1998/Math/MathML&amp;quot;&gt;&lt;mi&gt;d&lt;/mi&gt;&lt;/math&gt;&quot; id=&quot;MathJax-Element-1-Frame&quot; role=&quot;presentation&quot; style=&quot;121%;position:relative;&quot; tabindex=&quot;0&quot;&gt;&lt;span aria-hidden=&quot;true&quot; class=&quot;mjx-math&quot; id=&quot;MJXc-Node-1&quot;&gt;&lt;span class=&quot;mjx-mrow&quot; id=&quot;MJXc-Node-2&quot;&gt;&lt;span class=&quot;mjx-mi&quot; id=&quot;MJXc-Node-3&quot;&gt;&lt;span class=&quot;mjx-char MJXc-TeX-math-I&quot; style=&quot;padding-top:0.475em;padding-bottom:0.298em;padding-right:0.003em;&quot;&gt;d&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;-regular graphs.</style></abstract><issue><style face="normal" font="default" size="100%">4</style></issue></record></records></xml>