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8 papers · 1 filter
Symmetric Connectivity with Directional Antennas
Rom Aschner, Matthew J. Katz, Gila Morgenstern
Let P be a set of points in the plane, representing directional antennas of angle a and range r. The coverage area of the antenna at point p is a circular sector of angle a and rad…
Ice-Creams and Wedge Graphs
Eyal Ackerman, Tsachik Gelander, Rom Pinchasi
What is the minimum angle such that given any set of -directional antennas (that is, antennas each of which can communicate along a wedge of angle ), one can always ass…
Higher homotopy operations and André-Quillen cohomology
David Blanc, Mark W. Johnson, James M. Turner
There are two main approaches to the problem of realizing a -algebra (a graded group equipped with an action of the primary homotopy operations) as the homotopy groups of a…
The Kaplansky condition and rings of almost stable range 1
Moshe Roitman
We present some variants of the Kaplansky condition for a K-Hermite ring to be an elementary divisor ring; for example, a commutative K-Hermite ring is an EDR iff for any e…
The Beta Ansatz: A Tale of Two Complex Structures
Amihay Hanany, Yang-Hui He, Vishnu Jejjala +3
Brane tilings, sometimes called dimer models, are a class of bipartite graphs on a torus which encode the gauge theory data of four-dimensional SCFTs dual to D3-branes probing tori…
A Model for Pairs of Beatty Sequences
Y. Ginosar, I. Yona
Two Beatty sequences are recorded by athletes running in opposite directions in a round stadium. This approach suggests a nice interpretation for well known partitioning criteria:…