Results 1 to 10 of about 249,047 (132)
Computation, 2022 Cayley hash values are defined by paths of some oriented graphs (quivers) called Cayley graphs, whose vertices and arrows are given by elements of a group H. On the other hand, Brauer messages are obtained by concatenating words associated with multisets
María Alejandra Osorio Angarita +4 more
doaj +1 more source
Solutions of the Yang–Baxter Equation Arising from Brauer Configuration Algebras
Computation, 2022 Currently, researching the Yang–Baxter equation (YBE) is a subject of great interest among scientists of diverse areas in mathematics and other sciences. One of the fundamental open problems is to find all of its solutions.
Agustín Moreno Cañadas +2 more
doaj +1 more source
Brauer Configuration Algebras Arising from Dyck Paths
Mathematics, 2022 The enumeration of Dyck paths is one of the most remarkable problems in Catalan combinatorics. Recently introduced categories of Dyck paths have allowed interactions between the theory of representation of algebras and cluster algebras theory. As another
Agustín Moreno Cañadas +2 more
doaj +1 more source
Solutions of the Yang–Baxter Equation and Automaticity Related to Kronecker Modules
Computation, 2023 The Kronecker algebra K is the path algebra induced by the quiver with two parallel arrows, one source and one sink (i.e., a quiver with two vertices and two arrows going in the same direction). Modules over K are said to be Kronecker modules.
Agustín Moreno Cañadas +2 more
doaj +1 more source
{0,1}-Brauer Configuration Algebras and Their Applications in Graph Energy Theory
Mathematics, 2021 The energy E(G) of a graph G is the sum of the absolute values of its adjacency matrix. In contrast, the trace norm of a digraph Q, which is the sum of the singular values of the corresponding adjacency matrix, is the oriented version of the energy of a ...
Natalia Agudelo Muñetón +3 more
doaj +1 more source
A Class of Koszul Algebra and Some Homological Invariants through Circulant Matrices and Cycles
Journal of Mathematics, 2022 Recent advances in graph theory, linear algebra, and commutative algebra render us to tackle problems in one bough of mathematics with assistance and guidance from others.
Muhammed Nadeem +5 more
doaj +1 more source
Wargaming with Quadratic Forms and Brauer Configuration Algebras
Mathematics, 2022 Recently, Postnikov introduced Bert Kostant’s game to build the maximal positive root associated with the quadratic form of a simple graph. This result, and some other games based on Cartan matrices, give a new version of Gabriel’s theorem regarding ...
Agustín Moreno Cañadas +2 more
doaj +1 more source
Snake Graphs Arising from Groves with an Application in Coding Theory
Computation, 2022 Snake graphs are connected planar graphs consisting of a finite sequence of adjacent tiles (squares) T1,T2,…,Tn. In this case, for 1≤j≤n−1, two consecutive tiles Tj and Tj+1 share exactly one edge, either the edge at the east (west) of Tj (Tj+1) or the ...
Agustín Moreno Cañadas +2 more
doaj +1 more source
A note on ensemble holography for rational tori
Journal of High Energy Physics, 2021 We study simple examples of ensemble-averaged holography in free compact boson CFTs with rational values of the radius squared. These well-known rational CFTs have an extended chiral algebra generated by three currents. We consider the modular average of
Joris Raeymaekers
doaj +1 more source
Quivers of Bound Path Algebras and Bound Path Coalgebras
Journal of Mathematical and Fundamental Sciences, 2013 Algebras and coalgebras can be represented as quiver (directed graph), and from quiver we can construct algebras and coalgebras called path algebras and path coalgebras. In this paper we show that the quiver of a bound path coalgebra (resp.
Intan Muchtadi Alamsyah, Hanni Garmini
doaj +1 more source