
1 Introduction.- 2 Part I.- 3 Extremal graph theory and face numbers of flag triangulations of manifolds.- 4 Combinatorial stratifications and minimality of 2-arrangements.- 5 Rota's conjecture, the missing axiom, and prime cycles in toric varieties.- 6 Random triangular groups.-...

Combinatorics plays a prominent role in contemporary mathematics, due to the vibrant development it has experienced in the last two decades and its many interactions with other subjects. This book arises from the INdAM conference "CoMeTA 2013 - Combinatorial Methods in Topology...

1 Introduction.- 2 Part I.- 3 Extremal graph theory and face numbers of flag triangulations of manifolds.- 4 Combinatorial stratifications and minimality of 2-arrangements.- 5 Rota's conjecture, the missing axiom, and prime cycles in toric varieties.- 6 Random triangular groups.-...