Opuscula Math. 24, no. 2 (2004), 203-221

A note introducing Cayley graphs and group-coset graphs generated by graph packings

Robert Rosiek
Mariusz Woźniak
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.
About the authors ▼
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
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Received: 2004-07-13.
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Robert Rosiek, Mariusz Woźniak, A note introducing Cayley graphs and group-coset graphs generated by graph packings, Opuscula Math. 24, no. 2 (2004), 203-221, http://dx.doi.org/10.7494/OpMath.2004.24.2.203.
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