Yuli Erita
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BILANGAN KROMATIK LOKASI UNTUK JOIN DARI DUA GRAF Yuli Erita
Jurnal Matematika UNAND Vol 2, No 1 (2013)
Publisher : Jurusan Matematika FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmu.2.1.23-31.2013

Abstract

Let f be a proper k-coloring of a connected graph G and = (V) bean ordered partition of V (G) into the resulting color classes. For a vertex v of G, thecolor code of v with respect to is dened to be the ordered k-tuplec(v) = (d(v; V1); d(v; V2); :::; d(v; V));where d(v; Vi) = minfd(v; x)jx 2 Vikg, 1 i k: If distinct vertices have distinct colorcodes, then f is called a locating coloring. The minimum number of colors needed in alocating coloring of G is the locating chromatic number of G, and denoted by (G). Inthis paper, we study the locating chromatic number of the join of some graphs.