9 papers
Politics in Games -- An Overview and Classification
Lisa Gutwenger, Stephan Keller, Martin Dolezal +4
The representation of politics in media influences societal perceptions and attitudes. Video games, as a pervasive form of media, contribute significantly to this phenomenon. In th…
Graph limits: An alternative approach to s-graphons
Martin Doležal
We show that s-convergence of graph sequences is equivalent to the convergence of certain compact sets, called shapes, of Borel probability measures. This result is analogous to th…
A Turán-type theorem for large-distance graphs in Euclidean spaces, and related isodiametric problems
Martin Doležal, Jan Hladký, Jan Kolář +3
Given a measurable set we consider the "large-distance graph" , on the ground set , in which each pair of points from whose distance is…
Cut-norm and entropy minimization over weak* limits
Martin Dolezal, Jan Hladky
We prove that the accumulation points of a sequence of graphs with respect to the cut-distance are exactly the weak limit points of subsequences of the adj…
On a certain generalization of -spaces
Martin Doležal, Warren B. Moors
We present a simple generalization of -spaces introduced by G. Gruenhage. We show that this generalization leads to a strictly larger class of topological spaces which we call $…
Matching polytons
Martin Dolezal, Jan Hladky
Hladky, Hu, and Piguet [Tilings in graphons, preprint] introduced the notions of matching and fractional vertex covers in graphons. These are counterparts to the corresponding noti…