Orthogonality graph of the algebra of upper triangular matrices

Bakhadly, Bakhad

doi:10.7153/oam-2017-11-30

Cited by 2 publications

(1 citation statement)

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“…There are many applications of the triangle matrices such as graph theory [3][4][5], computer games [6], big data processing [7][8][9][10][11][12], solutions of linear equation systems [13][14][15][16][17][18].…”

Section: Introductionmentioning

confidence: 99%

Reducing The Space And Time Complexity By The Use of Triangular Matrices

Berberler¹,

Berberler²

2018

El-Cezeri Fen Ve Mühendislik Dergisi

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Matrices are commonly used data structures in computer science. There do not exist available structures in programming languages for the special type of matrices such as triangular matrix. If it is required to use a triangular matrix as a data structure, then softwares are coded with inefficient space and time complexity due to the lack of data structure of a programming language. In this paper, transformation and inverse tranformation formulae to be used for representing the triangular matrices as a one dimensional array are gathered and an increase in the amount of efficiency of a program in terms of space and time complexity is objected.

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Section: Introductionmentioning

confidence: 99%

Reducing The Space And Time Complexity By The Use of Triangular Matrices

Berberler¹,

Berberler²

2018

El-Cezeri Fen Ve Mühendislik Dergisi

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Graphs of Wajsberg Algebras via Complement Annihilating

Gürsoy

2023

Symmetry

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In this paper, W-graph, called the notion of graphs on Wajsberg algebras, is introduced such that the vertices of the graph are the elements of Wajsberg algebra and the edges are the association of two vertices. In addition to this, commutative W-graphs are also symmetric graphs. Moreover, a graph of equivalence classes of Wajsberg algebra is constructed. Meanwhile, new definitions as complement annihilator and ▵-connection operator on Wajsberg algebras are presented. Lemmas and theorems on these notions are proved, and some associated results depending on the graph’s algebraic properties are presented, and supporting examples are given. Furthermore, the algorithms for determining and constructing all these new notions in each section are generated.

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Orthogonality graph of the algebra of upper triangular matrices

Abstract: Abstract. We study the connectedness and the diameter of orthogonality graphs of upper triangular matrix algebras over arbitrary fields.Mathematics subject classification (2010): 15A24, 05C50.

Cited by 2 publications

References 10 publications

Reducing The Space And Time Complexity By The Use of Triangular Matrices

Reducing The Space And Time Complexity By The Use of Triangular Matrices

Graphs of Wajsberg Algebras via Complement Annihilating

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