Results 121 to 130 of about 654,082 (251)

Loops, matchings and alternating-sign matrices [PDF]

open access: yes, 2003
The appearance of numbers enumerating alternating sign matrices in stationary states of certain stochastic processes is reviewed. New conjectures concerning nest distribution functions are presented as well as a bijection between certain classes of ...
de Gier, Jan
core  

Lattice points of flow polytopes related to caracol graphs

open access: yesElectronic Research Archive
Flow polytopes are fundamental objects in algebraic combinatorics. In this paper, we study the enumeration of lattice points in flow polytopes associated with $ (a_1, a_2) $-caracol graphs on $ n + 2 $ vertices.
Hua Xin
doaj   +1 more source

Splines on Cayley graphs of the symmetric group

open access: yesForum of Mathematics, Sigma
A spline is an assignment of polynomials to the vertices of a graph whose edges are labeled by ideals, where the difference of two polynomials labeling adjacent vertices must belong to the corresponding ideal. The set of splines forms a ring. We consider
Nathan R. T. Lesnevich
doaj   +1 more source

On the Lehmer conjecture and counting in finite fields

open access: yesDiscrete Analysis, 2019
On the Lehmer conjecture and counting in finite fields, Discrete Analysis 2019:5, 8pp. Let $\alpha$ be an algebraic number and let $a_0\prod_{i=1}^k(x-\alpha_i)$ be its minimal polynomial. The _Mahler measure_ of $\alpha$ is defined to be the quantity $|
Emmanuel Breuillard, Peter Pal Varju
doaj   +1 more source

Topology of quasi divisor graphs associated with non-associative algebra

open access: yesAin Shams Engineering Journal
The visualization of graphs representing algebraic structures has increasingly gained traction in chemical engineering research, emerging as a significant scientific challenge in contemporary studies.
Muhammad Nadeem   +4 more
doaj   +1 more source

Relative rank and regularization

open access: yesForum of Mathematics, Sigma
We introduce a new concept of rank – relative rank associated to a filtered collection of polynomials. When the filtration is trivial, our relative rank coincides with Schmidt rank (also called strength).
Amichai Lampert, Tamar Ziegler
doaj   +1 more source

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