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Fibonacci and B-Adic Trees in Mosaic Graphs

In: Applications of Fibonacci Numbers

Author

Listed:
  • Heiko Harborth
  • Sabine Jäger

Abstract

A (p,q)-mosaic graph G p, q is a plane graph with all vertices of degree q and only p-gons as its faces, p, q > 3. These graphs are infinite if (p —2)(q — 2) ; 4 is assumed which only excludes the five platonic solid graphs. Starting with any p-gon C o we can construct G p, q by adding coronas C n which consist of all p-gons having one vertex or one edge in common with a p-gon of C n–1 (see Figure 1 with C o to C 2 of G 7,3 which is one of the two Fibonacci mosaic graphs in [3]).

Suggested Citation

  • Heiko Harborth & Sabine Jäger, 1991. "Fibonacci and B-Adic Trees in Mosaic Graphs," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 127-132, Springer.
    • Handle: RePEc:spr:sprchp:978-94-011-3586-3_15
    DOI: 10.1007/978-94-011-3586-3_15
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