Outputs (2)

Controlling Fragment Competition on Pathways to Addressable Self-Assembly (2018)
Journal Article
Madge, J., Bourne, D., & Miller, M. A. (2018). Controlling Fragment Competition on Pathways to Addressable Self-Assembly. Journal of Physical Chemistry B (Soft Condensed Matter and Biophysical Chemistry), 122(42), 9815-9825. https://doi.org/10.1021/acs.jpcb.8b08096

Addressable self-assembly is the formation of a target structure from a set of unique molecular or colloidal building-blocks, each of which occupies a defined location in the target. The requirement that each type of building-block appears exactly on... Read More about Controlling Fragment Competition on Pathways to Addressable Self-Assembly.

Ollivier-Ricci idleness functions of graphs (2018)
Journal Article
Bourne, D., Cushing, D., Liu, S., Muench, F., & Peyerimhoff, N. (2018). Ollivier-Ricci idleness functions of graphs. SIAM Journal on Discrete Mathematics, 32(2), 1408-1424. https://doi.org/10.1137/17m1134469

We study the Ollivier--Ricci curvature of graphs as a function of the chosen idleness. We show that this idleness function is concave and piecewise linear with at most three linear parts, and at most two linear parts in the case of a regular graph. W... Read More about Ollivier-Ricci idleness functions of graphs.