Results 41 to 50 of about 12,930 (215)
Constructing elliptic curve isogenies in quantum subexponential time
Journal of Mathematical Cryptology, 2014 Given two ordinary elliptic curves over a finite field having the same cardinality and endomorphism ring, it is known that the curves admit a nonzero isogeny between them, but finding such an isogeny is believed to be computationally difficult.
Childs Andrew +2 more
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List circular backbone colouring [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 A natural generalization of graph colouring involves taking colours from a metric space and insisting that the endpoints of an edge receive colours separated by a minimum distance dictated by properties of the edge.
Frederic Havet, Andrew D. King
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The power of many: when genetics met yeasts and high‐throughput
Biological Reviews, EarlyView.ABSTRACT In recent years, complex technological capabilities have evolved, driven by the need to solve complex and integrative biological questions through global analyses. New equipment allows the scaling up and automation of processes which previously were carried out on a very limited scale.
Víctor A. Tallada, Víctor Carranco
wiley +1 more source
Generalized Rainbow Connection of Graphs and their Complements
Discussiones Mathematicae Graph Theory, 2018 Let G be an edge-colored connected graph. A path P in G is called ℓ-rainbow if each subpath of length at most ℓ + 1 is rainbow. The graph G is called (k, ℓ)-rainbow connected if there is an edge-coloring such that every pair of distinct vertices of G is ...
Li Xueliang +3 more
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Teaching Combinatorial Principles Using Relations through the Placemat Method
Mathematics, 2021 The presented paper is devoted to an innovative way of teaching mathematics, specifically the subject combinatorics in high schools. This is because combinatorics is closely connected with the beginnings of informatics and several other scientific ...
Viliam Ďuriš +3 more
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Clinical Pharmacology &Therapeutics, EarlyView.Straight to Phase III: Model‐informed approach speeds depemokimab clinical development in interleukin‐5‐driven diseases. IL‐5, a key mediator of type 2 inflammation, underlies various diseases, including severe asthma, CRSwNP, EGPA, and HES. Reduction in blood eosinophil count (BEC), a biomarker of IL‐5 activity, is commonly used to evaluate the ...
Chiara Zecchin +6 more
wiley +1 more source
Recursive and Cyclic Constructions for Double‐Change Covering Designs
Journal of Combinatorial Designs, EarlyView.ABSTRACT A double‐change covering design (DCCD) is a v $v$‐set V $V$ and an ordered list L ${\mathscr{L}}$ of b $b$ blocks of size k $k$ where every pair from V $V$ must occur in at least one block and each pair of consecutive blocks differs by exactly two elements. It is minimal if it has the fewest blocks possible and circular when the first and last
Amanda Lynn Chafee, Brett Stevens
wiley +1 more source
On the Rainbow Vertex-Connection
Discussiones Mathematicae Graph Theory, 2013 A vertex-colored graph is rainbow vertex-connected if any two vertices are connected by a path whose internal vertices have distinct colors. The rainbow vertex-connection of a connected graph G, denoted by rvc(G), is the smallest number of colors that ...
Li Xueliang, Shi Yongtang
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Subsquares in Random Latin Squares and Rectangles
Journal of Combinatorial Designs, EarlyView.ABSTRACT A k×n $k\times n$ partial Latin rectangle is C‐sparse $C \mbox{-} \mathrm{sparse}$ if the number of nonempty entries in each row and column is at most C $C$ and each symbol is used at most C $C$ times. We prove that the probability a uniformly random k×n $k\times n$ Latin rectangle, where k<(1∕2−α)n $k\lt (1\unicode{x02215}2-\alpha )n ...
Alexander Divoux +3 more
wiley +1 more source
Compatible cycles and CHY integrals
Journal of High Energy Physics, 2019 The CHY construction naturally associates a vector in ℝ(n−3)! to every 2- regular graph with n vertices. Partial amplitudes in the biadjoint scalar theory are given by the inner product of vectors associated with a pair of cycles.
Freddy Cachazo +2 more
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