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On normalized Laplacians, multiplicative degree‐Kirchhoff indices, and spanning trees of the linear [ nn ]phenylenes and their dicyclobutadieno derivatives

机译:在标准化的拉普拉斯,乘法程度 - kirchhoff指标和线性[i> n n]亚苯基及其二环丁二烯衍生物的跨越树

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Abstract > Let <mat:math display="inline" overflow="scroll" altimg="urn:x-wiley:00207608:media:qua25863:qua25863-math-0001" wiley:location="equation/qua25863-math-0001.png"> <mat:msubsup> <mat:mi>L</mat:mi> <mat:mi>n</mat:mi> <mat:mrow> <mat:mn>6</mat:mn> <mat:mo>,</mat:mo> <mat:mn>6</mat:mn> </mat:mrow> </mat:msubsup> </mat:math> be the molecular graph of the linear type="mathematics"> [ n ] phenylene with n hexagons and n ? 1 squares, and let <mat:math display="inline" overflow="scroll" altimg="urn:x-wiley:00207608:media:qua25863:qua25863-math-0002" wiley:location="equation/qua25863-math-0002.png"> <mat:msubsup> <mat:mi>L</mat:mi> <mat:mi>n</mat:mi> <mat:mrow> <mat:mn>4</mat:mn> <mat:mo>,</mat:mo> <mat:mn>4</mat:mn> </mat:mrow> </mat:msubsup> </mat:math> be the graph obtained by attaching four‐membered rings to the terminal hexagons of <mat:math display="inline" overflow="scroll" altimg="urn:x-wiley:00207608:media:qua25863:qua25863-math-0003" wiley:location="equation/qua25863-math-0003.png"> <mat:msubsup> <mat:mi>L</mat:mi> <mat:mi>n</mat:mi> <mat:mrow> <mat:mn>6</mat:mn> <mat:mo>,</mat:mo> <mat:mn>6</mat:mn> </mat:mrow> </mat:msubsup> </mat:math> . In this article, the normalized Laplacian spectrum of <mat:math display="inline" overflow="scroll" altimg="urn:x-wiley:00207608:media:qua25863:qua25863-ma </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 Type =“main”XML:lang =“en”> <标题类型=“main”>抽象</ title> > let <mat:math display =“内联”overflow =“滚动”Altimg =“URN :X-Wiley:00207608:媒体:QUA25863:QUA25863-MATH-0001“WIley:Location =”等式/ QUA25863-MATH-0001.PNG“> <MAT:MSUBSUP> <MAT:MI> L </ MAT:MI> <MAT:MI> N </ MAT:MI> <MAT:MROW> <MAT:MN> 6 </ MAT:MN> <MAT:MO>,</ MAT:MO> <MAT:Mn> 6 </垫:Mn> </ mat:MROW> </ MAT:MSUBSUP> </ MAT:MATH>是线性<跨度类型=“数学”> [ n </ i>] </ span>亚烷基与六烷基和六边形和 n </ i>? 1个方格,让<mat:数学显示=“内联”overflow =“滚动”altimg =“urn:x-wiley:00207608:媒体:qua25863:qua25863-math-0002”wiley:location =“等式/ qua25863-math -0002.png“> <mat:msubsup> <mat:mi> l </ mat:mi> <mat:mi> n </ mat:mi> <mat:mrow> <mat:mn> 4 </ mat: Mn> <mat:mo>,</ mo:mo> <mat:mn> 4 </ mat:mn> </ mat:mrow> </ mat:msubsup> </ mat:math>是通过附加获得的图表<mat:math显示=“内联”overflow =“滚动”overimg =“urn:x-wiley:00207608:媒体:Qua25863 -Math-0003”Wiley:Location =“等式/ squa25863-math-0003.png“> <mat:msubsup> <mat:mi> l </ mat:mi> <mat:mi> n </ mat:mi> <mat:mrow> <mat:mn> 6 </ mat:mn> <mat:mo>,</ mat:mo> <mat:mn> 6 </ mat:mn> </ mat:mrow> </ mat:msubs向上> </ mat:math>。在本文中,<MAT:数学显示=“内联”溢出=“滚动”Altimg =“URN:X-Wiley:00207608:媒体:Qua25863:Qua25863:Qua25863:Qua25863-ma </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-21753/'>《International Journal of Quantum Chemistry》</a> <b style="margin: 0 2px;">|</b><span>2019年第8期</span><b style="margin: 0 2px;">|</b><span>共17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=Li Shuchao&option=202" target="_blank" rel="nofollow">Li Shuchao;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Wei Wei&option=202" target="_blank" rel="nofollow">Wei Wei;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Yu Shiqun&option=202" target="_blank" rel="nofollow">Yu Shiqun;</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>Faculty of Mathematics and StatisticsCentral China Normal UniversityWuhan People's Republic of China;</p> <p>Faculty of Mathematics and StatisticsCentral China Normal UniversityWuhan People's Republic of China;</p> <p>School of Science Hubei University for NationalitiesEnshi People's Republic of China;</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/1186.html" title="物理化学(理论化学)、化学物理学">物理化学(理论化学)、化学物理学;</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=dicyclobutadieno derivative&option=203" rel="nofollow">dicyclobutadieno derivative;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=linear phenylene&option=203" rel="nofollow">linear phenylene;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=multiplicative degree‐Kirchhoff index&option=203" rel="nofollow">multiplicative degree‐Kirchhoff index;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=normalized Laplacian&option=203" rel="nofollow">normalized Laplacian;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=spanning tree&option=203" rel="nofollow">spanning tree;</a> </p> <div class="translation"> 机译:二环丁二烯衍生物;线性亚苯基;乘法程度 - 柯彻夫夫指标;标准化的拉普拉斯;生成树; </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 > 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