Transcriptomic prey‐capture responses in convergently evolved carnivorous pitcher plants
Summary The Australian pitcher plant Cephalotus and the Asian pitcher plant Nepenthes exhibit striking morphological and functional similarities, serving as compelling examples of convergent evolution. Although trapping pitchers in both lineages represent some of the most elaborate leaf structures in angiosperms, it remains unknown whether their ...
Takanori Wakatake, Kenji Fukushima
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Frontispiece: Coverage‐Controlled Superstructures of C3‐Symmetric Molecules: Honeycomb versus Hexagonal Tiling [PDF]
Torben Jasper‐Tönnies +4 more
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Tiling the plane with hexagons: improved separations for $k$-colourings [PDF]
Aubrey D.N.J. de Grey, Jaan Parts
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Lozenge tilings of hexagons with intrusions I: Generalized intrusion
30 pages, 12 figures, Figures are updated and some minor errors are ...
Seok Hyun Byun, Tri Lai
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Coverage and Connectivity in Three-Dimensional Networks
Most wireless terrestrial networks are designed based on the assumption that the nodes are deployed on a two-dimensional (2D) plane. However, this 2D assumption is not valid in underwater, atmospheric, or space communications. In fact, recent interest in
Alam, S. M. Nazrul, Haas, Zygmunt J.
core +1 more source
Proof of two conjectures of Ciucu and Krattenthaler on the enumeration of lozenge tilings of hexagons with cut off corners [PDF]
Mihai Ciucu, Ilse Fischer
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Lozenge Tiling Function Ratios for Hexagons with Dents on Two Sides [PDF]
Daniel J. Condon
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Enumeration of tilings of diamonds and hexagons with defects
We show how to count tilings of Aztec diamonds and hexagons with defects using determinants. In several cases these determinants can be evaluated in closed form. In particular, we obtain solutions to problems 1, 2, and 10 in James Propp's list of problems on enumeration of matchings.
Helfgott, Harald Andrés, Gessel, Ira M.
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Hexagonal parquet tilings: k-isohedral monotiles with arbitrarily large k [PDF]
Joshua E. S. Socolar
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A tile assembly model with hexagon shaped tiles
The field of nanotechnology has enabled scientists to perform fascinating engineering manipulations of biological substrates. Systems of DNA are now able to perform algorithmic computations by way of constructing biological modules composed of DNA macromolecules and using laboratory techniques available to biological sciences.
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