On cyclic Hamiltonian decompositions of complete k-uniform hypergraphs

2014-03-17 10:00-11:00 FAMNIT-SEMIN Paweł Petecki On cyclic Hamiltonian decompositions of complete k-uniform hypergraphs A decomposition $\mathcal{C}=\{ C_1,C_2,…,C_h\}$ of the complete $k$-uniform hypergraph $K^k_n$ of order $n$ is called {\em cyclic Hamiltonian} if each $C_i\in \mathcal{C}$, $i\in\{1,2,\ldots,h\}$,  is a Hamiltonian cycle…

Cayley Integral Groups

2014-03-03 10:00-11:00 FAMNIT-SEMIN István Estélyi Cayley Integral Groups A finite group G is called a Cayley integral group if every undirected Cayleygraph over G has integral spectrum. Finite abelian Cayley integral groups havebeen determined by W. Klotz and T. Sander [Electronic J Combin. 17 (2010),…

Mathematical Research Seminar

2014-01-13 10:00-11:00 FAMNIT-MP Ted Dobson (Mississippi State University, USA) On the Cayley Isomorphism Problem We show that if certain arithmetic conditions hold, then the Cayley isomorphism problem for abelian groups, all of whose Sylow subgroups are elementary abelian or cyclic,…

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