Results 71 to 80 of about 305,985 (193)

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  

Algebraic Systems Biology: A Case Study for the Wnt Pathway

, 2015
Steady state analysis of dynamical systems for biological networks give rise to algebraic varieties in high-dimensional spaces whose study is of interest in their own right. We demonstrate this for the shuttle model of the Wnt signaling pathway. Here the
Gross, Elizabeth, Harrington, Heather A., Rosen, Zvi, Sturmfels, Bernd   +3 more
core   +1 more source

On a Gallai‐type problem and illumination of spiky balls and cap bodies

Mathematika, Volume 71, Issue 2, April 2025.
Abstract We show that any finite family of pairwise intersecting balls in En${\mathbb {E}}^n$ can be pierced by (3/2+o(1))n$(\sqrt {3/2}+o(1))^n$ points improving the previously known estimate of (2+o(1))n$(2+o(1))^n$. As a corollary, this implies that any 2‐illuminable spiky ball in En${\mathbb {E}}^n$ can be illuminated by (3/2+o(1))n$(\sqrt {3/2}+o ...
Andrii Arman, Andriy Bondarenko, Andriy Prymak, Danylo Radchenko   +3 more
wiley   +1 more source

On Spectral Graph Determination

Mathematics
The study of spectral graph determination is a fascinating area of research in spectral graph theory and algebraic combinatorics. This field focuses on examining the spectral characterization of various classes of graphs, developing methods to construct ...
Igal Sason, Noam Krupnik, Suleiman Hamud, Abraham Berman   +3 more
doaj   +1 more source

Extensions of Steiner Triple Systems

Journal of Combinatorial Designs, Volume 33, Issue 3, Page 94-108, March 2025.
ABSTRACT In this article, we study extensions of Steiner triple systems by means of the associated Steiner loops. We recognize that the set of Veblen points of a Steiner triple system corresponds to the center of the Steiner loop. We investigate extensions of Steiner loops, focusing in particular on the case of Schreier extensions, which provide a ...
Giovanni Falcone, Agota Figula, Mario Galici   +2 more
wiley   +1 more source

Coefficients of algebraic functions: formulae and asymptotics [PDF]

Discrete Mathematics & Theoretical Computer Science, 2013
This paper studies the coefficients of algebraic functions. First, we recall the too-little-known fact that these coefficients $f_n$ have a closed form. Then, we study their asymptotics, known to be of the type $f_n \sim C A^n n^{\alpha}$.
Cyril Banderier, Michael Drmota
doaj   +1 more source

Recent developments in algebraic combinatorics [PDF]

arXiv, 2002
A survey of three recent developments in algebraic combinatorics: (1) the Laurent phenomenon, (2) Gromov-Witten invariants and toric Schur functions, and (3) toric h-vectors and intersection cohomology. This paper is a continuation of "Recent progress in algebraic combinatorics" (math.CO/0010218), which dealt with three other topics.
arxiv  

On Quasi‐Hermitian Varieties in Even Characteristic and Related Orthogonal Arrays

Journal of Combinatorial Designs, Volume 33, Issue 3, Page 109-122, March 2025.
ABSTRACT In this article, we study the BM quasi‐Hermitian varieties, laying in the three‐dimensional Desarguesian projective space of even order. After a brief investigation of their combinatorial properties, we first show that all of these varieties are projectively equivalent, exhibiting a behavior which is strikingly different from what happens in ...
Angela Aguglia, Luca Giuzzi, Alessandro Montinaro, Viola Siconolfi   +3 more
wiley   +1 more source

Super stable tensegrities and the Colin de Verdière number ν

Journal of Graph Theory, Volume 108, Issue 3, Page 401-431, March 2025.
Abstract A super stable tensegrity introduced by Connelly in 1982 is a globally rigid discrete structure made from stiff bars and struts connected by cables with tension. We introduce the super stability number of a multigraph as the maximum dimension that a multigraph can be realized as a super stable tensegrity, and show that it equals the Colin de ...
Ryoshun Oba, Shin‐ichi Tanigawa
wiley   +1 more source

Cubic surfaces and their invariants: Some memories of Raymond Stora

Nuclear Physics B, 2016
Cubic surfaces embedded in complex projective 3-space are a classical illustration of the use of old and new methods in algebraic geometry. Recently, they made their appearance in physics, and in particular aroused the interest of Raymond Stora, to the ...
Michel Bauer
doaj   +1 more source