AN APPLICATION OF GRAPH THEORY IN FABRIC DESIGN Available to Purchase

The research of the present paper relates a contribution to the application of graph theory in fabric design. Instead of choosing random samples we prefer here to develop a combinatorial approach which simulates chaos, relying on a Hamiltonian circuit algorithm applied to state transition graph. The theorem and corollary concerning the Hamiltonian method for the moss-crepe 6 shafts are presented. The research shows a great interest of the combinatorial algorithm and graphs for approaching the schematic problem in textiles.