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Equistarable bipartite graphs

2014-11-17 10:00-10:45 FAMNIT-SEMIN Nina Chiarelli Equistarable bipartite graphs Recently, Milanič and Trotignon introduced the class of equistarable graphs as graphs without isolated vertices admitting positive vertex weights on the edges such that a subset of edges is of total weight 1 if…

General Haar graphs in sage

2014-11-10 10:00-10:45 FAMNIT-SEMIN prof. dr. Tomaž Pisanski General Haar graphs in sage We implemented several programs that may deal with general Haar graphs. The programs are written in Python but embedded in the system sage. A Haar graph is a…

Solvable regular covering projections of graphs

2014-11-03 10:00-10:45 FAMNIT-SEMIN dr. Rok Požar Solvable regular covering projections of graphs  We present basic properties of universal covering projections and exploit them in order to develop an algorithm for computing all solvable regular covering projections of a given graph admitting a lift of…

Finite CI-groups and Schur rings

2014-10-27 10:00-10:45 FAMNIT-SEMIN Istvan Kovacs (UP FAMNIT) Finite CI-groups and Schur rings A Cayley graph Cay(G,S) is called a CI-graph if for every subset Tof G, if Cay(G,T) and Cay(G,S) are isomorphic, then T=f(S) for some automorphism f of G.…

Generalized Cayley graphs

2014-10-20 10:00-10:45 FAMNIT-SEMIN Ademir Hujdurović Generalized Cayley graphs Generalized Cayley graphs were defined by D.Marušič, R. Scapellato and N. Zagaglia Salvi in 1992. They studied properties of such graphs, mostly related to double coverings of graph. They also posed a…

Minimum weight clique cover in claw-free perfect graphs

2014-10-06 10:00-11:00 FAMNIT-SEMIN Dr. Flavia Bonomo (Buenos Aires University, Argentina) Minimum weight clique cover in claw-free perfect graphs For a perfect graph G, and given a weight function w on the vertices of G, linear programming duality ensures that the weight of…

Finding (Shortest) Paths between Graph Colourings

2014-09-29 10:00-11:00 FAMNIT-SEMIN Dr Matthew Johnson (Durham University, UK) Finding (Shortest) Paths between Graph Colourings  The reconfiguration graph of the $k$-colourings of a graph $G$ contains as its vertex set the proper vertex $k$-colourings of $G$, and two colourings are…

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