Lajos Soukup

most citedQuasi-kernels and quasi-sinks in infinite graphs

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.LO2008

Indestructible colourings and rainbow Ramsey theorems

Lajos Soukup

We give a negative answer to a question of Erdos and Hajnal: it is consistent that GCH holds and there is a colouring $c : [ω_{2}]^{2} \to 2$ establishing $ω_{2} \neq \to [(ω_{1}; ω)]_{2}^{2}$ su…

math.CO2007★ 1 cited

Quasi-kernels and quasi-sinks in infinite graphs

Peter L. Erdos, Lajos Soukup

Given a directed graph G=(V,E) an independent set A of the vertices V is called quasi-kernel (quasi-sink) iff for each point v there is a path of length at most 2 from some point o…

math.LO2007

Cardinal sequences of LCS spaces under GCH

Juan Carlos Martinez, Lajos Soukup

We give full characterization of the sequences of regular cardinals that may arise as cardinal sequences of locally compact scattered spaces under GCH. The proofs are based on cons…