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.
Textile Weaving Structure Plain Weave Twill Weave Rapport Topology Graph Theory Vertex Valency Edge Warp WeftCite this paper
Otabek Kasimov, (2015) Basic Concepts of Graph Theory as the Instruments of Mathematical Formalization of Woven Structures. World Journal of Engineering and Technology,03,344-347. doi: 10.4236/wjet.2015.33C052
ReferencesДаминов, 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.