Non-1-Planarity of Lexicographic Products of Graphs

Autor: Matsumoto Naoki, Suzuki Yusuke
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Discussiones Mathematicae Graph Theory, Vol 41, Iss 4, Pp 1103-1114 (2021)
Druh dokumentu: article
ISSN: 2083-5892
DOI: 10.7151/dmgt.2231
Popis: In this paper, we show the non-1-planarity of the lexicographic product of a theta graph and K2. This result completes the proof of the conjecture that a graph G ◦ K2 is 1-planar if and only if G has no edge belonging to two cycles.
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