51 citations · 301 across the 17 of their papers we have counts for
19 papers
A linear-time algorithm for the maximum-area inscribed triangle in a convex polygon
Yoav Kallus
Given the n vertices of a convex polygon in cyclic order, can the triangle of maximum area inscribed in P be determined by an algorithm with O(n) time complexity? A purported linea…
Improved upper bounds in the moving sofa problem
Yoav Kallus, Dan Romik
The moving sofa problem, posed by L. Moser in 1966, asks for the planar shape of maximal area that can move around a right-angled corner in a hallway of unit width. It is known tha…
Locally optimal 2-periodic sphere packings
Alexei Andreanov, Yoav Kallus
The sphere packing problem is an old puzzle. We consider packings with m spheres in the unit cell (m-periodic packings). For the case m = 1 (lattice packings), Voronoi proved there…
Paradoxes in Leaky Microbial Trade
Yoav Kallus, John H. Miller, Eric Libby
Microbes produce metabolic resources that are important for cell growth yet leak across membranes into the extracellular environment. Other microbes in the same environment can use…
Free energy of singular sticky-sphere clusters
Yoav Kallus, Miranda Holmes-Cerfon
Networks of particles connected by springs model many condensed-matter systems, from colloids interacting with a short-range potential, to complex fluids near jamming, to self-asse…
Dynamics of beneficial epidemics
Andrew Berdahl, Christa Brelsford, Caterina De Bacco +12
Pathogens can spread epidemically through populations. Beneficial contagions, such as viruses that enhance host survival or technological innovations that improve quality of life,…