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.

has been cited by the following article:

• TITLE: Mathematical Approaches to the Structural Analysis and Formalization of Woven Fabrics

  AUTHORS: Askarali Daminov, Otabek Kasimov

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

  JOURNAL NAME: World Journal of Engineering and Technology, Vol.4 No.3D, October 29, 2016

  ABSTRACT: The present paper shows the mathematical approach of formalization of textile fabrics, based on concepts and elements of graph theory and the structural analysis of woven structures and possibility of numerical evaluation of interlacing factor of warp and weft threads in woven structures through the weight of a structural graph vertex. Research observes quantitative aspect of structural evaluation of threads topology in fabric focusing in graph theory, in order to present an application productivity of this theory to solve the technological tasks.