E. ARAGNO and N. ZAGAGLIA SALVI
Edge-bipancyclicity of the extended and the widened Fibonacci cubes
Pages: 23- 31
Received: 30 September 2002 Revised: 27 March 2003
Mathematics Subject Classification (2000): 05C38 - 05C75
Work partially supported by MIUR (Ministero dell'Istruzione, dell'UniversitÓ e della Ricerca)
Abstract: Extended Fibonacci cubes and widened Fibonacci cubes are generalizations of the Fibonacci cube, the subgraph of the usual hypercube induced by the set of binary strings with no two consecutive ones. Using particular decompositions of these bipartite graphs we prove that, except some initial cases, they satisfy the property that every edge belongs to cycles of any even length.