215 citations · 640 across the 23 of their papers we have counts for
4 papers · 1 filter
Three notions of tropical rank for symmetric matrices
Dustin Cartwright, Melody Chan
We introduce and study three different notions of tropical rank for symmetric and dissimilarity matrices in terms of minimal decompositions into rank 1 symmetric matrices, star tre…
The maximum independent sets of de Bruijn graphs of diameter 3
Dustin A. Cartwright, Maria Angelica Cueto, Enrique A. Tobis
The nodes of the de Bruijn graph B(d,3) consist of all strings of length 3, taken from an alphabet of size d, with edges between words which are distinct substrings of a word of le…
Reconstructing Spatiotemporal Gene Expression Data from Partial Observations
Dustin A. Cartwright, Siobhan M. Brady, David A. Orlando +2
Developmental transcriptional networks in plants and animals operate in both space and time. To understand these transcriptional networks it is essential to obtain whole-genome exp…
The Hilbert scheme of the diagonal in a product of projective spaces
Dustin Cartwright, Bernd Sturmfels
The diagonal in a product of projective spaces is cut out by the ideal of 2x2-minors of a matrix of unknowns. The multigraded Hilbert scheme which classifies its degenerations has…