Fibonacci Cubes are the Resonance Graphs of Fibonaccenes

By Sandi Klav, Petra Zigert. The Fibonacci quarterly, 2005

69 citations recorded by the source corpus.

Fibonacci cubes were introduced in 1993 and intensively studied afterwards. This paper adds the following theorem to these studies: Fibonacci cubes are precisely the resonance graphs of bonaccenes. Here bonaccenes are graphs that appear in chemical graph theory and resonance graphs reect the structure of their perfect matchings. Some consequences of the main result are also listed. 1. FIBONACCI CUBES

Subfields: Biomaterials, Computer Networks and Communications, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/34a2d50640824d8b1543ca01ef4ad3c886b80c9d

Citations in the corpus

• Discrete mathematics (2004, unknown): “”If I major in CS, then I will find a good job”: ”I will not find a good job unless I major in CS”: ”It is sufficient for me to major in CS to find a good job”: ”It is necessary for me to major in CS to find a good job”: Instructor:I¸sılDillig, CS311H:DiscreteMathematics Introand PropositionalLogic 27/36”