Journal of East China Normal University(Natural Science) >

2019 , Vol. 2019 >Issue 3: 35 - 41

DOI: https://doi.org/10.3969/j.issn.1000-5641.2019.03.005

Mathematics

(d,1)-total labeling of lexicographic products of some classes of graphs

  • HAN Xin-yin ,
  • YAO Min ,
  • ZUO Lian-cui ,
  • ZHOU Wei-na
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  • 1. College of Mathematical Science, Tianjin Normal University, Tianjin 300387, China;
    2. Computer Network Information Center, Chinese Academy of Sciences, Beijing 100190, China;
    3. College of Mathematical Sciences, East China Normal University, Shanghai 200241, China

Received date: 2018-04-08

  Online published: 2019-05-30

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Abstract

This paper focuses on (d, 1)-total labeling of the lexicographic products of path Pn and path Pm, path Pn and circle Cn, and gets the exact value of the (d, 1)-total number λdT (G) of lexicographic product Pn·Pm, Pn·Cm under certain constraints.

Key words： lexicographic product; (d, 1)-total labeling; (d, 1)-total number λdT (G)

Cite this article

HAN Xin-yin , YAO Min , ZUO Lian-cui , ZHOU Wei-na . (d,1)-total labeling of lexicographic products of some classes of graphs[J]. Journal of East China Normal University(Natural Science), 2019 , 2019(3) : 35 -41 . DOI: 10.3969/j.issn.1000-5641.2019.03.005

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