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

doi:10.3969/j.issn.1000-5641.2019.03.005

Journal of East China Normal University(Natural Sc ›› 2019, Vol. 2019 ›› Issue (3): 35-41.doi: 10.3969/j.issn.1000-5641.2019.03.005

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

HAN Xin-yin^1,2, YAO Min^1,3, ZUO Lian-cui¹, ZHOU Wei-na¹

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:2018-04-08 Online:2019-05-25 Published:2019-05-30

Abstract: This paper focuses on (d, 1)-total labeling of the lexicographic products of path P_n and path P_m, path P_n and circle C_n, and gets the exact value of the (d, 1)-total number λ_d^T (G) of lexicographic product P_n·P_m, P_n·C_m under certain constraints.

Key words: lexicographic product, (d, 1)-total labeling, (d, 1)-total number λ_d^T (G)

CLC Number:

O157.5

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 Sc, 2019, 2019(3): 35-41.

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