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Judul:	The Entire Face Irregularity Strength of A Book with Polygonal Pages
Penulis:	Meilin I. Tilukay & Venn Y. I. Ilwaru \|\| email: info@mx.unpatti.ac.id
Jurnal:	Barekeng Vol. 9 no. 2 - hal. 103-108 Tahun 2015 [ MIPA ]
Keywords:	Book, entire face irregularity strength, face irregular entire ð’Œ-labeling, plane graph, polygonal page.
Abstract:	A face irregular entire labeling is introduced by Baca et al. recently, as a modification of the well-known vertex irregular and edge irregular total labeling of graphs and the idea of the entire colouring of plane graph. A face irregular entire k-labeling ðœ†:ð‘‰âˆªð¸âˆªð¹â†’{1,2,â‹¯,ð‘˜} of a 2-connected plane graph ðº = (ð‘‰, ð¸, ð¹) is a labeling of vertices, edges, and faces of ðº such that for any two different faces ð‘“ and ð‘”, their weights ð‘¤ðœ†(ð‘“) and ð‘¤ðœ†(ð‘“) are distinct. The minimum ð‘˜ for which a plane graph ðº has a face irregular entire ð‘˜-labeling is called the entire face irregularity strength of ðº, denoted by ð‘’ð‘“ð‘ (ðº). This paper deals with the entire face irregularity strength of a book with ð‘š ð‘›-polygonal pages, where embedded in a plane as a closed book with ð‘› âˆ’sided external face.
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