Combinatorial configurations and quasiline arrangements (Seminar DM)

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Combinatorial configurations and quasiline arrangements

Arjana Žitnik

Torek, 15. septembra 2015, od 10h do 12h, Plemljev seminar, Jadranska 19

Povzetek: It is well known that not every combinatorial configuration admits a geometric realization with points and lines. Moreover, some of them do not even admit realizations with pseudoline arrangements, i.e., they are not topological.

We generalize the notion of a pseudoline arrangement to the notion of a quasiline arrangement by relaxing the condition that two pseudolines meet exactly once and show that every combinatorial configuration can be realized as a quasiline arrangement in the real projective plane. We also generalize well-known tools from pseudoline arrangements such as sweeps or wiring diagrams.

Glej tudi/See also

Seminar za diskretno matematiko

Osebna orodja