两类完全二部图的一般点可区别全染色

详细信息    查看全文 | 推荐本文 |

英文篇名：General vertex-distinguishing total colorings on two types of complete bipartite graphs 作者：苏丽 ; 陈祥恩 ; 王治文 英文作者：SU Li;CHEN Xiang-en;WANG Zhi-wen;College of Mathematics and Statistics,Northwest Normal University;School of Mathematics and Computer Sciences,Ningxia University; 关键词：点可区别正常全染色 ; 一般点可区别全染色 ; 点可区别IE-全染色 英文关键词：vertex distinguishing total coloring;;general vertex-distinguishing total coloring;;vertex-distinguishing IE-total coloring 中文刊名：DBSZ 英文刊名：Journal of Northeast Normal University(Natural Science Edition) 机构：西北师范大学数学与统计学院;宁夏大学数学计算机科学学院; 出版日期：2018-12-20 出版单位：东北师大学报(自然科学版) 年：2018 期：v.50 基金：国家自然科学基金资助项目(11761064,61163037,11261046) 语种：中文; 页：DBSZ201804005 页数：6 CN：04 ISSN：22-1123/N 分类号：25-30

摘要

利用完全二部图K4,n及K5,n的点可区别IE-全色数的结论,探讨了完全二部图K4,n及K5,n的一般点可区别全染色以及它们的一般点可区别全色数.
        With true help of existing research on the conclusions of vertex distinguishing IE-total colorings of complete bipartite graphs K4,nand K5,n,the general vertex-distinguishing total colorings of complete bipartite graphs K4,n and K5,n are discussed and their general vertex-distinguishing total chromatic numbers.

引文

[1] ZHANG Z F,QIU P X,XU B G,et al.Vertex distinguishing total coloring of graphs[J].Ars Combinaroria,2008,87:33-45.
    [2]YANG F,CHEN X E,MA C Y.On the vertex-distinguishing proper total colorings of complete p-partite graphs with equipotent parts[J].Ars Combinaroria,2017,134:233-249.
    [3] CHEN X E,GAO Y P,YAO B.Vertex-distinguishing IE-total colorings of complete bipartite graphs Km,n(m    [4] CHEN X E,HE W Y,LI Z P,et al.Vertex-distinguishing IE-total colorings of cycles and wheels[J].Communications in Mathematical Research,2014,30(3):222-236.
    [5] LIU C J,ZHU E Q.General vertex-distinguishing total colorings of graphs[J/OL].Journal of Applied Mathematics,2014[2017-09-16].http://dx.doi.org/10.1155/2014/849748.
    [6]陈祥恩,苏丽,王治文.完全二部图K2,n及K3,n的一般点可区别全染色[J].吉林大学学报(理学版),2016,54(6):1289-1293.