output
20032026
most citedRecent Advances and Applications of Deep Learning Methods in Materials Science

1.2k citations

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6 papers · 1 filter

math.CO2017

An example concerning set addition in F_2^n

Ben Green, Daniel Kane

We construct sets in a vector space over with the property that is "statistically" almost closed under addition by in the sense that almost al…

math.CO2016

Independent sets in polarity graphs

Michael Tait, Craig Timmons

Given a projective plane and a polarity of , the corresponding polarity graph is the graph whose vertices are the points of , and two distinct points and …

math.CO2015★ 2 cited

Discrete Envy-free Division of Necklaces and Maps

Roberto Barrera, Kathryn Nyman, Amanda Ruiz +2

We study the discrete variation of the classical cake-cutting problem where n players divide a 1-dimensional cake with exactly (n-1) cuts, replacing the continuous, infinitely divi…

math.CO2014★ 22 cited

Crossing numbers of complete tripartite and balanced complete multipartite graphs

Ellen Gethner, Leslie Hogben, Bernard Lidický +3

The crossing number cr(G) of a graph G is the minimum number of crossings in a nondegenerate planar drawing of G. The rectilinear crossing number cr'(G) of G is the minimum number…

math.CO2014★ 1 cited

Parking functions, Shi arrangements, and mixed graphs

Matthias Beck, Ana Berrizbeitia, Michael Dairyko +3

The \emph{Shi arrangement} is the set of all hyperplanes in of the form or for . Shi observed in 1986 that the number of region…

math.CO2013

Cycles in Projective Spaces

Elaina Aceves, David Heywood, Ashley Klahr +1

We prove that every possible -cycle can be embedded into , for all and a power of a prime.