Lexicographic product graphs P m [ P n ] are antimagic

Autor: Wenhui Ma, Guanghua Dong, Yingyu Lu, Ning Wang
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: AKCE International Journal of Graphs and Combinatorics, Vol 15, Iss 3, Pp 271-283 (2018)
Druh dokumentu: article
ISSN: 0972-8600
DOI: 10.1016/j.akcej.2017.10.005
Popis: A graph with q edges is called a n t i m a g i c if its edges can be labeled with 1, 2, …, q such that the sums of the labels on the edges incident to each vertex are distinct. Hartsfield and Ringel conjectured that every connected graph other than K 2 is antimagic. In this paper, through a labeling method and a modification on this labeling, we obtained that the lexicographic product graphs P m [ P n ] are antimagic. Keywords: Antimagic graph, Lexicographic product, Path
Databáze: Directory of Open Access Journals