Special Face Numbering of Plane Quartic Graphs

Martin Baca1
1DEPARTMENT OF MATHEMATICS TECHNICAL UNIVERSITY, LETNA 9, 042 00 KoSice, SLovakia

Abstract

In this paper we concentrate on those graphs which are \((a, d)\)-face antimagic, and we show that the graphs \(D_n\) from a special class of convex polytopes consisting of \(4\)-sided faces are \((6n + 3, 2)\)-face antimagic and \((4n + 4, 4)\)-face antimagic. It is worth a conjecture, we feel, that \(D_n\) are \((2n + 5, 6)\)-face antimagic.