50 citations · 124 across the 19 of their papers we have counts for
25 papers
Colourful Carathéodory's Theorem plus a constraint
Pavle V. M. Blagojevic
We develop a topological framework in an attempt to generalize the classical colourful Caratheodory theorem by imposing an additional constraint. For that we introduce the notion o…
Convex Equipartitions inspired by the little cubes operad
Pavle V. M. Blagojevic, Nikola Sadovek
A decade ago two groups of authors, Karasev, Hubard and Aronov, and Blagojević and Ziegler, have shown that the regular convex partitions of a Euclidean space into parts yield…
Many partitions of mass assignments
Pavle V. M. Blagojevic, Michael C. Crabb
In this paper, extending the recent work of authors with Calles Loperena and Dimitrijević Blagojević, we give a general and complete treatment of a problem of partition of mass ass…
Plus minus analogues for affine Tverberg type results
Pavle V. M. Blagojevic, Günter M. Ziegler
The classical 1966 theorem of Tverberg with its numerous variations was and still is a motivating force behind many important developments in convex and computational geometry as w…
Some more amplituhedra are contractible
Pavle V. M. Blagojević, Pavel Galashin, Nevena Palić +1
The amplituhedra arise as images of the totally nonnegative Grassmannians by projections that are induced by linear maps. They were introduced in Physics by Arkani-Hamed \& Trnka (…
Thieves can make sandwiches
Pavle V. M. Blagojević, Pablo Soberón
We prove a common generalization of the Ham Sandwich theorem and Alon's Necklace Splitting theorem. Our main results show the existence of fair distributions of measures in $R^…