Article(id=1242127947004445113, tenantId=1146029695717560320, journalId=1146031591421210625, issueId=1242127934165684977, articleNumber=null, orderNo=null, doi=10.3981/j.issn.1000-7857.2011.27.008, pmid=null, cstr=null, oa=null, hot=null, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=null, receivedDate=1303056000000, receivedDateStr=2011-04-18, revisedDate=1313596800000, revisedDateStr=2011-08-18, acceptedDate=null, acceptedDateStr=null, onlineDate=1317139200000, onlineDateStr=2011-09-28, pubDate=1317139200000, pubDateStr=2011-09-28, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1317139200000, onlineIssueDateStr=2011-09-28, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1774075980185, creator=sys-migrate, updateTime=1774075980185, updator=sys-migrate, issue=Issue{id=1242127934165684977, tenantId=1146029695717560320, journalId=1146031591421210625, year='2011', volume='29', issue='27', pageStart='3', pageEnd='96', issueExtLink='null', onlineDate='null', pubDate='1317139200000', pubDateStr='2011-09-28', beforeIssueId=null, nextIssueId=null, price=null, status=1, issueComplete=1, articleOrder=3, issueType=-1, specialIssue=null, createTime=1774075977124, creator='sys-migrate', updateTime=1774075977124, updator='sys-migrate', preIssue=null, nextIssue=null, articleTotal=null, ext=null, issueFiles=null, downloadFileDto=null}, startPage=58, endPage=60, ext={EN=ArticleExt(id=1242127951928558035, articleId=1242127947004445113, tenantId=1146029695717560320, journalId=1146031591421210625, language=EN, title=Vertex-edge Adjacent Vertex-distinguishing Total Chromatic Number of the Two Kinds of Crown Graphs, columnId=1242116080374710456, journalTitle=Science & Technology Review, columnName=Articles, runingTitle=null, highlight=null, articleAbstract=Graph coloring is one of the chief topics in the graph research, the solution of the chromatic number of the graph is an NP-hard problem. Let G(V, E) be a simple graph, k is a positive integer. f is a mapping from V(G)∪ E(G) to {1, 2, …, k} such that ∀uv∈E(G), then f(u)≠f(uv), f(v)≠f(uv), C(u)≠C(v), f can be called the vertex-edge-adjacent vertex distinguishing total coloring of G (adjacent vertex distinguishing VE-total coloring of G), χ_at^ve(G)=min{k|k－VE－AVDTC} would be called the vertex-edge-adjacent vertex distinguishing total chromatic number of G (adjacent vertex distinguishing VE-total chromatic number of G), where vertex-edge-adjacent vertex distinguishing total coloring of G C(u)={f(u)}∪{f(uv)|uv∈E(G)}. In this paper, two kinds of crown graphs C_m·S_n and C_m·P_n are designed, the vertex-edge-adjacent vertex distinguishing total coloring of C_m·S_n and C_m·P_n are studied. According to the properties of two kinds of crown graphs C_m·S_n and C_m·P_n, by using colors one by one and in recursion, the vertex-edge-adjacent vertex distinguishing total chromatic numbers of two kinds of crown graphs C_m·S_n and C_m·P_n are obtained., authors=TIAN Jingjing, authorsList=TIAN Jingjing, authorCompany=Department of Mathematics, Shaanxi University of Technology, Hanzhong 723001, Shaanxi Province, China, correspAuthors=null, authorNote=null, correspAuthorsNote=null, copyrightStatement=null, copyrightOwner=null, extLink=null, articleAbsUrl=null, sourceXml=null, magXml=null, pdfUrl=null, pdf=ZlMjaWeYHTe4s0gtU9xPpw==, pdfFileSize=540439, 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=1242127951202943434, articleId=1242127947004445113, tenantId=1146029695717560320, journalId=1146031591421210625, language=CN, title=两类冠图的点边邻点可区别全染色, columnId=1146540929516700224, journalTitle=科技导报, columnName=研究论文, runingTitle=null, highlight=null, articleAbstract=图的染色理论是图论的一个重要研究领域,求解图的色数被认为是一个NP-hard问题。对简单连通图G(V,E),存在一个正整数k,使得映射f :V(G)∪ E(G)→{1,2,…,K},如果对∀uv∈E(G),有f(u)≠f(uv),f(v)≠f(uv),且C(u)≠C(v),则称f是图G的点边邻点可区别全染色(又称为邻点可区别VE-全染色),而χ_at^ve (G)=min{k|k－VE－AVDTC},称为G的点边邻点可区别边色数(又称为邻点可区别VE-全色数),其中色集合C(u)={f(u)}∪{f(uv)|uv∈E(G)}。本文构造了两类冠图C_m·S_n和C_m·P_n,研究了两类冠图C_m·S_n和C_m·P_n的点边邻点可区别全染色。根据C_m·S_n和C_m·P_n的结构性质,用穷染递推的方法,得到了它们的相应色数,给出一种染色方案。, authors=田京京, authorsList=田京京, authorCompany=陕西理工学院数学系,陕西汉中 723001, correspAuthors=null, authorNote=null, correspAuthorsNote=null, copyrightStatement=null, copyrightOwner=null, extLink=null, articleAbsUrl=null, sourceXml=null, magXml=null, pdfUrl=null, pdf=v7Xijp01ceQKpJ3L/TZ8Yw==, pdfFileSize=540439, pdfExtLink=null, richHtmlUrl=null, mobilePdfUrl=null, reviewReport=null, pdfFirstPage=null, abstractGraph=null, 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