 Title pages (mff_intro.pdf) 
title page, acknowledgement, abstracts, preface
 Ramseytype questions (ramsey_segments.pdf) 
Dilworth's theorem, partial ordering on segments, ramsey type question in segments, note on other ramsey type questions
 Geometric and Topological graphs (geom_top_graphs.pdf) 
Introduction,
plane graphs (Euler formula, Fary theorem, HananiTutte theorem),
crossing numbers (Crossing lemma, Crossing lemma for graphs with girth>2r, embedding method, decay of crossing number),
different definitions of crossing number,
graphs with no forbidden subgraphs (k pairwise disjoint segments, k pairwise crossing segments, k crossing on an edge).
 Convex Independent Sets (convex.pdf) 
ErdosSzekeres theorem (classical proofs using Ramsey theorem, proof using cups and caps),
cups and caps, note on projective mappings,
empty convex independent sets,
open cups and open caps.
 Circle Graphs (circle_graphs.pdf) 
intersection graphs,
circle graphs,
coloring circle graphs,
lower bounds on coloring,
circle graphs with bounded clique and independent set(ω(G)<=k, α(G)<=l).
