WJETWorld Journal of Engineering and Technology2331-4222Scientific Research Publishing10.4236/wjet.2015.33C052WJET-61134ArticlesChemistry&Materials Science Engineering Basic Concepts of Graph Theory as the Instruments of Mathematical Formalization of Woven Structures OtabekKasimov1Tashkent Institute of Textile and Light Industry, Tashkent, Uzbekistan* E-mail:2210201503033443473 October 2015accepted 23 October 30 October 2015© Copyright 2014 by authors and Scientific Research Publishing Inc. 2014This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/

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.