Article(id=1242117728115425501, tenantId=1146029695717560320, journalId=1146031591421210625, issueId=1242117726773248217, articleNumber=null, orderNo=null, doi=null, pmid=null, cstr=null, oa=null, hot=null, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=null, receivedDate=1249488000000, receivedDateStr=2009-08-06, revisedDate=-2209017600000, revisedDateStr=1900-01-01, acceptedDate=null, acceptedDateStr=null, onlineDate=1259337600000, onlineDateStr=2009-11-28, pubDate=1259337600000, pubDateStr=2009-11-28, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1259337600000, onlineIssueDateStr=2009-11-28, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1774073543811, creator=sys-migrate, updateTime=1774073543811, updator=sys-migrate, issue=Issue{id=1242117726773248217, tenantId=1146029695717560320, journalId=1146031591421210625, year='2009', volume='27', issue='0922', pageStart='1', pageEnd='140', issueExtLink='null', onlineDate='null', pubDate='1259337600000', pubDateStr='2009-11-28', beforeIssueId=null, nextIssueId=null, price=null, status=1, issueComplete=1, articleOrder=3, issueType=-1, specialIssue=null, createTime=1774073543492, creator='sys-migrate', updateTime=1774073543492, updator='sys-migrate', preIssue=null, nextIssue=null, articleTotal=null, ext=null, issueFiles=null, downloadFileDto=null}, startPage=99, endPage=101, ext={EN=ArticleExt(id=1242117730707509839, articleId=1242117728115425501, tenantId=1146029695717560320, journalId=1146031591421210625, language=EN, title=A Kind of Intrinsically linked graphs with knotted components, columnId=1242116080374710456, journalTitle=Science & Technology Review, columnName=Articles, runingTitle=null, highlight=null, articleAbstract=The spatial graph theory is a natural generalization of the knotted topology theory, as an active branch of the topology. In recent years, intrinsically linked and intrinsically knotted graphs, as very important graphs in spatial graphs, are becoming targets of some relatively new research areas. The study of intrinsic linking and knotting began in 1983 when Conway and Gordon showed that every embedding of K6 (the complete graph on six vertices) contains a non-trivial link, K6 is an intrinsically linked graph, every embedding of K7(the complete graph on seven vertices) contains a non-trivial knot, K7 is an intrinsically knotted graph. This paper combines the two properties of intrinsic linking and intrinsic knotting together, constructs a graph with those two properties, as an intrinsically linked graph with knotted components such that every spatial embedding of this graph contains a non-split link, where at least one of the components of this link is a nontrivial knot. To construct the Petersen graph P8, this paper uses the method of forming the graph with two graphs K3,3,1 and edges. A kind of intrinsically linked graphs with knotted components F(104) is obtained., authors=null, authorsList=null, authorCompany=null, correspAuthors=null, authorNote=null, correspAuthorsNote=null, copyrightStatement=null, copyrightOwner=null, extLink=null, articleAbsUrl=null, sourceXml=null, magXml=null, pdfUrl=null, pdf=GFCKSXxzkEZuGxJj4MclTw==, pdfFileSize=553945, pdfExtLink=null, richHtmlUrl=null, mobilePdfUrl=null, reviewReport=null, pdfFirstPage=null, abstractGraph=null, abstractGraphContent=null, abstractVideo=null, citation=null, cebUrl=null, magXmlContent=null, mapNumber=null, fund=null), CN=ArticleExt(id=1242117729990279396, articleId=1242117728115425501, tenantId=1146029695717560320, journalId=1146031591421210625, language=CN, title=一类带有纽结分支的内在链图, columnId=1146540929516700224, journalTitle=科技导报, columnName=研究论文, runingTitle=null, highlight=null, articleAbstract=空间图理论是纽结拓扑理论的自然拓广，是当前拓扑学中很活跃的分支。内在链图和内在纽结图是近年来比较新的一个研究领域，也是空间图中的两类重要的图。本文结合内在链图和内在纽结图的性质，构造了一类兼具内在链图与内在纽结图性质的图，带有纽结分支的内在链图，这个图的每个空间嵌入中都包含一个非分离的链，且这个链中至少有一个分支是非平凡的纽结。针对Petersen图P8，本文利用两个Petersen图K3,3,1与中间边组成图的方法形成Petersen图中的P8。得到了一类带有纽结分支的内在链图F(104)，并证明了图F(104)是带有纽结分支的内在链图。, authors=任秋萍¹，王光辉², authorsList=任秋萍;王光辉, authorCompany=1. 黑龙江科技学院数力系，哈尔滨 1500272. 黑龙江科技学院计算机与信息工程学院，哈尔滨 150027, correspAuthors=null, authorNote=null, correspAuthorsNote=任秋萍, copyrightStatement=null, copyrightOwner=null, extLink=null, articleAbsUrl=null, sourceXml=null, magXml=null, pdfUrl=null, pdf=J3GdRNxfuOMIG9e1f/eZlg==, pdfFileSize=553945, pdfExtLink=null, richHtmlUrl=null, mobilePdfUrl=null, reviewReport=null, pdfFirstPage=null, abstractGraph=null, abstractGraphContent=null, abstractVideo=null, citation=null, cebUrl=null, magXmlContent=null, mapNumber=null, fund=null)}, authors=null, keywords=[Keyword(id=1242117729793147106, tenantId=1146029695717560320, journalId=1146031591421210625, 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