Basic Concepts of Graph Theory as the Instruments of Mathematical Formalization of Woven Structures ()
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
Share and Cite:
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.
Conflicts of Interest
The authors declare no conflicts of interest.
References
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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.
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