Participants at the DocCourse have to develop a Research Project during their stay.
The Research Project will be tutorized by a senior researcher.

The presentation session of proposals by the tutors will be held on

Tuesday January 13, 2009, 10.30h
Auditori CRM

The students can either choose one of the proposed projects or propose
one themselves.

The project involves reading, studying the proposed problem and writing a monography
of 10 to 30 pages presenting the problem, describing the state-of-the-art,  and explaining
the results. The projects will be presented by the students at the end of the DocCourse during
the week of 23 to 27 March 2009.


List of proposed projects

Isomorphic Pointed Pseudo-Triangulations
Oswin Aichholzer, TU Graz

Alternative Generalised Polygons
Simeon Ball, UPC Barcelona

Dominating sets in k-trees modelling complex networks
Francesc Comellas, UPC Barcelona

Recoloring directed graphs
Stefan Felsner, TU Berlin

Distance in flip-graphs
Stefan Felsner, TU Berlin

Bounded expansion in the preferential attachment model
Silvia Gago, UPC Barcelona

Roots of Ehrhart polynomials
Martin Henk, Universität Magdeburg

Average Frobenius numbers
Martin Henk, Universität Magdeburg

The roots of Steiner polynomials
M. Ángeles Hernández Cifre, Universidad de Murcia

Delaunay graphs
Ferran Hurtado, UPC Barcelona

Projects in tropical complexity
Michael Joswig, TU Darmstadt

Combinatorial convexity
Gyula Károlyi, Eötvös University, Budapest

Lattice paths and Lagrangian matroids
Anna de Mier, UPC Barcelona

Patterns in ordered trees
Anna de Mier and Marc Noy, UPC Barcelona

Long cycles in 3-polytopes
Marc Noy, UPC Barcelona

Acyclic Matchings and Discrete Morse Theory
Julian Pfeifle, UPC Barcelona

Polytopes without simplices and cubes
Julian Pfeifle, UPC Barcelona

Prodsimplicial-neighborly polytopes
Julian Pfeifle, UPC Barcelona

Polytopes on surfaces and the centrally symmetric upper bound theorem
Julian Pfeifle, UPC Barcelona

Classifying combinatorially distinct sections and projections of polytopes
Julian Pfeifle, UPC Barcelona

Polytopal semidefinite slices
Julian Pfeifle, UPC Barcelona

Tensor products of polytopes
Julian Pfeifle, UPC Barcelona

Axioms and Arrangements of double pseudolines
Michel Pocchiola

Triangulations of the 24-cell
Paco Santos, Universidad de Cantabria

f-vectors and Radon partitions
Paco Santos, Universidad de Cantabria

Minimal triangulations of 3-polytopes
Paco Santos, Universidad de Cantabria

Sets with small boundary in the integer lattice
Oriol Serra, UPC Barcelona

Arithmetic structure in monochromatic triples
Frank Vallentin, CWI Amsterdam

Polytopal (or not) graphs
Günter Ziegler, TU Berlin

Independence complexes of perfect graphs
Günter Ziegler, TU Berlin