Packing perfect matchings in random hypergraphs

Ferber Asaf; Vu Van

摘要

Abstract > We introduce a new procedure for generating the binomial random graph/hypergraph models, referred to as online sprinkling . As an illustrative application of this method, we show that for any fixed integer <mat:math xmlns:mat="http://www.w3.org/1998/Math/MathML" display="inline" altimg="urn:x-wiley:10429832:media:rsa20745:rsa20745-math-0001" xmlns:wiley="http://www.wiley.com/namespaces/wiley/wiley" wiley:location="equation/rsa20745-math-0001.png"> <mat:mrow> <mat:mi>k</mat:mi> <mat:mo>≥</mat:mo> <mat:mn>3</mat:mn> </mat:mrow> </mat:math> , the binomial <mat:math xmlns:mat="http://www.w3.org/1998/Math/MathML" display="inline" altimg="urn:x-wiley:10429832:media:rsa20745:rsa20745-math-0002" xmlns:wiley="http://www.wiley.com/namespaces/wiley/wiley" wiley:location="equation/rsa20745-math-0002.png"> <mat:mi>k</mat:mi> </mat:math> ‐uniform random hypergraph <mat:math xmlns:mat="http://www.w3.org/1998/Math/MathML" display="inline" altimg="urn:x-wiley:10429832:media:rsa20745:rsa20745-math-0003" xmlns:wiley="http://www.wiley.com/namespaces/wiley/wiley" wiley:location="equation/rsa20745-math-0003.png"> <mat:mrow> <mat:msubsup> <mat:mi>H</mat:mi> <mat:mrow> <mat:mi>n</mat:mi> <mat:mo>,</mat:mo> <mat:mi>p</mat:mi> </mat:mrow> <mat:mi>k</mat:mi> </mat:msubsup> </mat:mrow> </mat:math> contains <mat:math xmlns:mat="http://www.w3.org/1998/Math/MathML" display="inline" altimg="urn:x-wiley:10429832:media:rsa20745:rsa20745-math-0004" xmlns:wiley="http://www.wiley.com/namespaces/wiley/wiley" wiley:location="equation </span> <span class="z_kbtn z_kbtnclass hoverxs" style="display: none;">展开▼</span> </div> <div class="translation abstracttxt"> <span class="zhankaihshouqi fivelineshidden" id="abstract"> <span>机译：</span><Abstract XMLNS =“http://www.wiley.com/namespaces/wiley”type =“main”> <title type =“main”>抽象</ title> >我们介绍了生成二项式的新过程随机图形/超图模型，称为在线洒水</ i>。作为这种方法的说明性应用，我们显示出任何固定的整数<mat：math xmlns：mat =“http://www.w3.org/1998/math/mathml”display =“内联”altimg =“urn： X-Wiley：10429832：媒体：RSA20745：RSA20745-Math-0001“XMLNS：Wiley =”http://www.wiley.com/namespaces/wiley/wiley“wiley：location =”等式/ rsa20745-math-0001。 PNG“> <MAT：MROW> <MAT：MI> K </ MAT：MI> <MAT：MO>≥</ MAT：MO> <MAT：MN> 3 </ MAT：MN> </ MAT：MROW> </ mat：math>，二项式<mat：math xmlns：mat =“http://www.w3.org/1998/math/mathml”display =“内联”altimg =“urn：x-wiley：10429832：媒体：RSA20745：RSA20745-Math-0002“XMLNS：Wiley =”http://www.wiley.com/namespaces/wiley/wiley“wiley：location =”等式/ rsa20745-math-0002.png“> <mat： MI> K </ MAT：MI> </ MAT：数学> - 不规则的随机超图<MAT：MATH XMLNS：MAT =“http://www.w3.org/1998/math/mathml”显示=“内联”Altimg =“URN：X-Wiley：10429832：媒体：RSA20745：RSA20745-Math-0003”XMLNS：Wiley.com/namespaces/wiley/wiley“wiley：location =”等式/ Rsa20745- math-0003.png“> <mat：mrow> <mat ：msubsup> <mat：mi> h </ mat：mi> <mat：mrow> <mat：mi> n </ mat：mi> <mat：mo>，</ mat：mo> <mat：mi> p </ MAT：MI> </ MAT：MROW> <MAT：MI> K </ MAT：MI> </ MAT：MSUBSUP> </ MAT：MROW> </ MAT：MATH>包含<MAT：MATH XMLNS：MAT =“http://www.w3.org/1998/math/mathml”display =“内联”Altimg =“URN：X-Wiley：10429832：媒体：RSA20745：RSA20745-Math-0004”XMLNS：Wiley =“HTTP ：//www.wiley.com/namespaces/wiley/wiley“wiley：location =”等式 </span> <span class="z_kbtn z_kbtnclass hoverxs" style="display: none;">展开▼</span> </div> </div> <div class="record"> <h2 class="all_title" id="enpatent33" > 著录项</h2> <ul> <li> <span class="lefttit">来源</span> <div style="width: 86%;vertical-align: text-top;display: inline-block;"> <a href='/journal-foreign-26552/'>《Random structures & algorithms 》</a> <b style="margin: 0 2px;">|</b><span>2018年第3期</span><b style="margin: 0 2px;">|</b> <span>共12页</span> </div> </li> <li> <div class="author"> <span class="lefttit">作者</span> <p id="fAuthorthree" class="threelineshidden zhankaihshouqi"> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Ferber Asaf&option=202" target="_blank" rel="nofollow">Ferber Asaf;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Vu Van&option=202" target="_blank" rel="nofollow">Vu Van;</a> </p> <span class="z_kbtnclass z_kbtnclassall hoverxs" id="zkzz" style="display: none;">展开▼</span> </div> </li> <li> <div style="display: flex;"> <span class="lefttit">作者单位</span> <div style="position: relative;margin-left: 3px;max-width: 639px;"> <div class="threelineshidden zhankaihshouqi" id="fOrgthree"> <p>Department of MathematicsMITCambridge Massachusetts;</p> <p>Department of MathematicsYale UniversityNew Haven Connecticut;</p> </div> <span class="z_kbtnclass z_kbtnclassall hoverxs" id="zhdw" style="display: none;">展开▼</span> </div> </div> </li> <li> <span class="lefttit">收录信息</span> <span style="width: 86%;vertical-align: text-top;display: inline-block;"></span> </li> <li> <span class="lefttit">原文格式</span> <span>PDF</span> </li> <li> <span class="lefttit">正文语种</span> <span>eng</span> </li> <li> <span class="lefttit">中图分类</span> <span> <a href="https://www.zhangqiaokeyan.com/clc/1140.html" title="数学分析">数学分析 ;</a></span> </li> <li class="antistop"> <span class="lefttit">关键词</span> <p style="width: 86%;vertical-align: text-top;"> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Perfect matching&option=203" rel="nofollow">Perfect matching;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=hypergraph&option=203" rel="nofollow">hypergraph;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=random graphs&option=203" rel="nofollow">random graphs;</a> </p> <div class="translation"> 机译：完美匹配;超图;随机图; </div> </li> </ul> </div> </div> <div class="literature cardcommon"> <div class="similarity "> <h3 class="all_title" id="enpatent66">相似文献</h3> <div class="similaritytab clearfix"> <ul> <li class="active" >外文文献</li> <li >中文文献</li> <li >专利</li> </ul> </div> <div class="similarity_details"> <ul > <li> <div> <b>1. </b><a class="enjiyixqcontent" href="/journal-foreign-detail/0704024010892.html">Packing perfect matchings in random hypergraphs</a> <b>[J]</b> . <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Ferber 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href="/academic-conference-cn_meeting-64312_thesis/020222574950.html">二分图中含有完美对集的2-因子</a> <b>[C]</b> <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor"> . </a> <span> <a href="/conference-cn-64312/" target="_blank" rel="nofollow" class="tuijian_authcolor"> . 自主创新振兴东北高层论坛暨第二届沈阳科学学术年会 </a> <span> <span> . 2005</span> </span> </div> </li> <li> <div> <b>7. </b><a class="enjiyixqcontent" href="/academic-degree-domestic_mphd_thesis/020315670475.html">弦图中的偶圈与完美匹配</a> <b>[A] </b> <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=宋瑞琪&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor"> . 宋瑞琪</a> <span> . 2020</span> </span> </div> </li> </ul> <ul style="display: none;"> <li> <div> <b>1. </b><a class="enjiyixqcontent" href="/patent-detail/061204049554.html">一种符合单轴完美匹配层模型的全向完美匹配透明材料</a> <b>[P]</b> . <span> 中国专利： CN110380223B </span> <span> . 2020.10.16</span> </div> </li> <li> <div> <b>2. </b><a class="enjiyixqcontent" href="/patent-detail/06120101392160.html">一种符合单轴完美匹配层模型的全向完美匹配透明材料</a> <b>[P]</b> . <span> 中国专利： CN110380223A </span> <span> . 2019-10-25</span> </div> </li> <li> <div> <b>3. </b><a class="enjiyixqcontent" href="/patent-detail/06130404069946.html">MCMC framework-based sub-hypergraph matching method and device</a> <b>[P]</b> . <span> 外国专利：  US2019065912A1 </span> <span> . 2019-02-28</span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译：基于MCMC框架的子超图匹配方法及装置 </span> </p> </li> <li> <div> <b>4. </b><a class="enjiyixqcontent" href="/patent-detail/06130408846074.html">MCMC FRAMEWORK-BASED SUB-HYPERGRAPH MATCHING METHOD AND DEVICE</a> <b>[P]</b> . <span> 外国专利：  WO2017152403A1 </span> <span> . 2017-09-14</span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译：基于MCMC框架的超图匹配方法和装置 </span> </p> </li> <li> <div> <b>5. </b><a class="enjiyixqcontent" href="/patent-detail/06130458970150.html">Electrical apparatus for the prcessamento enhanced digital images; improved method for generation of addresses for memory access to be random to one or more pixels are extracted byAn input image digital electronics has a limit; address generator circuit improved for the generation of addresses in a random access memory for one or more pixels areExtracted from at least one input image digital electronics has a limit; electric appliance perfected for the processing of digital images; improved method for processing DAt least one input image digital electronics has a limit to derive an output image processed digital electronics; random access memory in a processing circuit ofDigital images and random access memory in a table of conference to a processing circuit of digital images</a> <b>[P]</b> . <span> 外国专利：  BR9402047A </span> <span> . 1994-12-20</span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译：用于增强增强型数字图像的电气设备;一种改进的生成地址的方法，用于通过以下方式提取对一个或多个像素随机访问的存储器：输入图像数字电子设备有一个限制;从至少一个输入图像中提取出的数字发生器有一个极限;改进的地址发生器电路，用于在一个或多个像素的随机存取存储器中生成地址。完美处理数字图像的电器;用于处理DA的改进方法至少一个输入图像数字电子设备具有导出输出图像处理的数字电子设备的限制;数字图像处理电路中的随机存取存储器和会议桌中的数字图像处理电路中的随机存取存储器 </span> </p> </li> </ul> </div> </div> </div> <div class="theme cardcommon" style="overflow: auto;display:none"> <h3 class="all_title" id="enpatent55">相关主题</h3> <ul id="subject"> </ul> </div> </div> </div> </div> <div class="right rightcon"> <div class="details_img cardcommon clearfix" style="margin-bottom: 10px;display:none;" > </div> </div> </div> <div id="thesis_get_original1" class="downloadBth" style="bottom: 19px;z-index: 999;" onclick="ywcd('0704024010892','4',7,2,1,'',this,24)" 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