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Artículo
Optimal Divisions of a Convex Body
(Ele-Math, 2023)
For a convex body C in Rd andadivision of C into convex subsets C1,...,Cn, we can consider max{F(C1),...,F(Cn)} (respectively, min{F(C1),...,F(Cn)}), where F represents one of these classical geometric magnitudes: the ...
Artículo
New results on the robust coloring problem
(Springer, 2024-03-23)
Many variations of the classical graph coloring model have been intensively studied due to their multiple applications; scheduling problems and aircraft assignments, for instance, motivate the robust coloring problem. This ...
Artículo
A quantitative principle to understand 3D cellular connectivity in epithelial tubes
(Cell Systems, 2022)
Apico-basal cell intercalations (scutoids) optimize packing and energy expenditure in curved epithelia. Further consequences of this new paradigm of tissue packing remain uncharacterized. In particular, how scutoids modify ...
Artículo
Continuous mean distance of a weighted graph
(Cornell University, 2021)
We study the concept of the continuous mean distance of a weighted graph. For connected unweighted graphs, the mean distance can be de ned as the arithmetic mean of the distances between all pairs of vertices. This ...