Basic Concepts of Graph Theory as the Instruments of Mathematical Formalization of Woven Structures

Otabek Kasimov

doi:10.4236/wjet.2015.33C052

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WJET> Vol.3 No.3C, October 2015

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Basic Concepts of Graph Theory as the Instruments of Mathematical Formalization of Woven Structures

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DOI: 10.4236/wjet.2015.33C052 2,667 Downloads 3,002 Views Citations

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Otabek Kasimov

Affiliation(s)

Tashkent Institute of Textile and Light Industry, Tashkent, Uzbekistan.

ABSTRACT

The paper presents the prerequisites of involving of topological elements and graph theory as an instrument of mathematical formalization of woven structures and technology of textile fabrics. Present research is based on analysis and comparison of the main concepts and conditions of textile technology and graph theory.

KEYWORDS

Textile, Weaving, Structure, Plain Weave, Twill Weave, Rapport, Topology, Graph Theory, Vertex, Valency, Edge, Warp, Weft

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Kasimov, O. (2015) Basic Concepts of Graph Theory as the Instruments of Mathematical Formalization of Woven Structures. World Journal of Engineering and Technology, 3, 344-347. doi: 10.4236/wjet.2015.33C052.

References

[1]	Даминов, А.Д. (2005) Основы прогнозирования структуры и проектирования текстильных полотен. D.Sc. Thesis (in Russian), Tashkent Institute of Textile and Light Industry, Tashkent, 93-100.