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Realizing string-net condensation: Fibonacci anyon braiding for universal gates and sampling chromatic polynomials. [PDF]
Minev ZK +7 more
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Green flowers need yellow to get noticed in a green world. [PDF]
Del Valle JC +7 more
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Lizard polymorphic throat colors are distinguishable by conspecifics and predators across variable light environments. [PDF]
BeVier GT, Brock KM.
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Encoding hierarchical 3D architecture through inverse design of programmable bonds. [PDF]
Kahn JS +11 more
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Larger frogs are better mimics but are more risk-averse in a nontoxic poison frog. [PDF]
McEwen BL +3 more
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Conflict‐free chromatic number versus conflict‐free chromatic index
Journal of Graph Theory, 2020A vertex coloring of a given graph G is conflict‐free if the closed neighborhood of every vertex contains a unique color (i.e., a color appearing only once in the neighborhood).
Michał Deͅbski, J. Przybylo
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The Packing Chromatic Number of the Infinite Square Grid is 15
International Conference on Tools and Algorithms for Construction and Analysis of Systems, 2023A packing $k$-coloring is a natural variation on the standard notion of graph $k$-coloring, where vertices are assigned numbers from $\{1, \ldots, k\}$, and any two vertices assigned a common color $c \in \{1, \ldots, k\}$ need to be at a distance ...
Bernardo Subercaseaux +1 more
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Common graphs with arbitrary chromatic number
Compositio Mathematica, 2022Ramsey’s theorem guarantees for every graph H that any 2-edge-coloring of a sufficiently large complete graph contains a monochromatic copy of H. In 1962, Erdős conjectured that the random 2-edge-coloring minimizes the number of monochromatic copies of $
D. Král, Jan Volec, F. Wei
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