Local Face Antimagic Evaluations and Coloring of Plane Graphs

Article type: Research Article

Authors: Bong, Novi^a | Bača, Martin^{b; *} | Semaničová-Feňovčíková, Andrea^{b; †} | Sugeng, Kiki A.^c | Wang, Tao-Ming^d

Affiliations: [a] Department of Mathematical Sciences, University of Delaware, Newark, DE 19716, USA. nhbong@udel.edu | [b] Department of Applied Mathematics and Informatics, Technical University, Košice, Slovak Republic. martin.baca@tuke.sk, andrea.fenovcikova@tuke.sk | [c] Department of Mathematics, University of Indonesia, Kampus UI Depok, Depok 16424, Indonesia. kiki@sci.ui.ac.id | [d] Department of Applied Mathematics, Tunghai University, Taichung, Taiwan, ROC. wang@go.thu.edu.tw

Correspondence: [*] Address for correspondence: Department of Applied Mathematics and Informatics, Technical University, Košice, Slovak Republic.

Note: [†] The research for this article was supported by APVV-15-0116 and by VEGA 1/0233/18.

Abstract: We investigate a local face antimagic labeling of plane graphs, and we introduce a new graph characteristic, namely local face antimagic chromatic number of type (a; b; c). Then we determine the precise value of this parameter for wheels and ladders.

Keywords: plane graph, local face antimagic labeling, local face antimagic chromatic number of type (a; b; c)

DOI: 10.3233/FI-2020-1934

Journal: Fundamenta Informaticae, vol. 174, no. 2, pp. 103-119, 2020