Results 91 to 100 of about 240,213 (310)
The combinatorics of overlapping genes [PDF]
Journal of Theoretical Biology, 2017 Overlapping genes exist in all domains of life and are much more abundant than expected at their first discovery in the late 1970s. Assuming that the reference gene is read in frame +0, an overlapping gene can be encoded in two reading frames in the sense strand, denoted by +1 and +2, and in three reading frames in the opposite strand, denoted by -0 ...
Lèbre, Sophie, Gascuel, Olivier
openaire +7 more sources
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
doaj +1 more source
Statistics of Feynman amplitudes in ϕ 4-theory
Journal of High Energy Physics, 2023 The amplitude of subdivergence-free logarithmically divergent Feynman graphs in ϕ 4-theory in 4 spacetime dimensions is given by a single number, the Feynman period. We numerically compute the periods of 1.3 million completed graphs, this represents more
Paul-Hermann Balduf
doaj +1 more source
Incidence combinatorics of resolutions
, 2000 We introduce notions of combinatorial blowups, building sets, and nested sets for arbitrary meet-semilattices. This gives a common abstract framework for the incidence combinatorics occurring in the context of De Concini-Procesi models of subspace ...
Dmitry, Eva-maria Feichtner, N. Kozlov
core +4 more sources
The Hilton–Milnor theorem in higher topoi
Bulletin of the London Mathematical Society, Volume 57, Issue 5, Page 1468-1481, May 2025.Abstract In this note, we show that the classical theorem of Hilton–Milnor on finite wedges of suspension spaces remains valid in an arbitrary ∞$\infty$‐topos. Our result relies on a version of James' splitting proved in [Devalapurkar and Haine, Doc. Math.
Samuel Lavenir
wiley +1 more source
Extremal skew energy of digraphs with no even cycles [PDF]
Transactions on Combinatorics, 2014 Let $D$ be a digraph with skew-adjacency matrix $S(D)$. Then the skew energy of $D$ is defined to be the sum of the norms of all eigenvalues of $S(D)$. Denote by $mathcal{O}_n$ the class of digraphs on order $n$ with no even cycles, and by $mathcal{O ...
Jing Li, Xueliang Li, Huishu Lian
doaj
Combinatorics and N-Koszul algebras [PDF]
arXiv, 2009 The numerical Hilbert series combinatorics and the comodule Hilbert series combinatorics are introduced, and some applications are presented, including the MacMahon Master Theorem.
arxiv
The Razumov-Stroganov conjecture: Stochastic processes, loops and combinatorics
, 2007 A fascinating conjectural connection between statistical mechanics and combinatorics has in the past five years led to the publication of a number of papers in various areas, including stochastic processes, solvable lattice models and supersymmetry. This
Batchelor M T +8 more
core +1 more source
On the isomorphism problem for monoids of product‐one sequences
Bulletin of the London Mathematical Society, Volume 57, Issue 5, Page 1482-1495, May 2025.Abstract Let G1$G_1$ and G2$G_2$ be torsion groups. We prove that the monoids of product‐one sequences over G1$G_1$ and over G2$G_2$ are isomorphic if and only if the groups G1$G_1$ and G2$G_2$ are isomorphic. This was known before for abelian groups.
Alfred Geroldinger, Jun Seok Oh
wiley +1 more source
Discrete Mathematics, 2006 AbstractInspired by Claude Berge's interest in and writings on Hex, we discuss some results on the game.
Jack van Rijswijck, Ryan B. Hayward
openaire +2 more sources