Opuscula Math. 24, no. 2 (2004), 203-221
Opuscula Mathematica
A note introducing Cayley graphs and group-coset graphs generated by graph packings
Abstract. The aim of this paper is to construct a class of vertex-transitive graphs that includes the Kneser graphs as a special case. The class will be based on the notion of packing of graphs. Certain families of graphs within this class will be examined more closely, and some of their properties, such as hamiltonicity, will be investigated.
Keywords: Cayley graphs, hamiltonicity, packing of graphs.
Mathematics Subject Classification: 05C25, 05C45, 05C70.
- Robert Rosiek
- ADEO, ul. Śliczna 36, 31-444 Kraków, Poland
- Mariusz Woźniak
- AGH University of Science and Technology, Faculty of Applied Mathematics, al. Mickiewicza 30, 30-059 Cracow, Poland
- Received: 2004-07-13.