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

Kasimov, Otabek

doi:10.4236/wjet.2015.33c052

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2016

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“…In previous research [5], we studied the fundamentals of graph theory and their application to weaving technology as an instrument of mathematical formalization of woven structures, which pushed to further attempts.…”

Section: Introductionmentioning

confidence: 99%

Mathematical Approaches to the Structural Analysis and Formalization of Woven Fabrics

Daminov¹,

Kasimov²

2016

WJET

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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.

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Section: Introductionmentioning

confidence: 99%