6 papers
Degenerating orbits of the Longest Edge Bisection process
Karim A. Adiprasito, Daniel Kalmanovich, Yaar Solomon
We study the Longest Edge Bisection (LEB) process as a dynamical system on the projective shape space of simplices. A long-standing conjecture going back to Adler and Rivara-Levin…
On flag-no-square -manifolds
Daniel Kalmanovich, Eran Nevo, Gangotryi Sorcar
Which -manifolds admit a flag-no-square (fns) triangulation? We introduce the "star-connected-sum" operation on such triangulations, which preserves the fns property, from which…
On an infinite family of generalized PBIBDs
Daniel Kalmanovich
We consider a generalization of the notion of partially balanced incomplete block designs (PBIBDs), by relaxing the requirement that the underlying association scheme be commutativ…
On the realization space of the cube
Karim Adiprasito, Daniel Kalmanovich, Eran Nevo
We consider the realization space of the -dimensional cube, and show that any two realizations are connected by a finite sequence of projective transformations and normal transf…
On the cone of -vectors of cubical polytopes
Ron M. Adin, Daniel Kalmanovich, Eran Nevo
What is the minimal closed cone containing all -vectors of cubical -polytopes? We construct cubical polytopes showing that this cone, expressed in the cubical -vector coor…
On algebraic fusions of association schemes
Daniel Kalmanovich, Eli Shamovich
We give a complete description of the irreducible representations of algebraic fusions of association schemes, in terms of the irreducible representations of a Schur cover of the c…