Results 41 to 50 of about 169,932 (295)
Constructing elliptic curve isogenies in quantum subexponential time
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
doaj +1 more source
List circular backbone colouring [PDF]
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
doaj +1 more source
Ward identities and combinatorics of rainbow tensor models [PDF]
A bstractWe discuss the notion of renormalization group (RG) completion of non-Gaussian Lagrangians and its treatment within the framework of Bogoliubov-Zimmermann theory in application to the matrix and tensor models.
H. Itoyama +3 more
semanticscholar +1 more source
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley +1 more source
Positional games are a branch of combinatorics, researching a variety of two-player games, ranging from popular recreational games such as Tic-Tac-Toe and Hex, to purely abstract games played on graphs and hypergraphs.
Krivelevich, Michael
core +1 more source
Rainbow Connection Number of Graphs with Diameter 3
A path in an edge-colored graph G is rainbow if no two edges of the path are colored the same. The rainbow connection number rc(G) of G is the smallest integer k for which there exists a k-edge-coloring of G such that every pair of distinct vertices of G
Li Hengzhe, Li Xueliang, Sun Yuefang
doaj +1 more source
Distribution of the Number of Encryptions in Revocation Schemes for Stateless Receivers [PDF]
We study the number of encryptions necessary to revoke a set of users in the complete subtree scheme (CST) and the subset-difference scheme (SD). These are well-known tree based broadcast encryption schemes.
Christopher Eagle +4 more
doaj +1 more source
Signature Catalan combinatorics [PDF]
The Catalan numbers constitute one of the most important sequences in combinatorics. Catalan objects have been generalized in various directions, including the classical Fuss-Catalan objects and the rational Catalan generalization of Armstrong-Rhoades ...
Cesar Ceballos +1 more
semanticscholar +1 more source
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
Combinatorics of Toric Arrangements
In this paper we build an Orlik-Solomon model for the canonical gradation of the cohomology algebra with integer coefficients of the complement of a toric arrangement.
Pagaria, Roberto
core +1 more source

