The number of 1-factors in the 6-cube is 16 332 454 526 976. This was computed with the traditional permanent and also with a transfer matrix approach, associated with polygraphs. For polygraphs of the type G×Pm we present a method for compression of the transfer matrix. This compression gives a substantial reduction of the order of the transfer matrix by exploiting the automorphisms of the gra...

Abstract The multibody system transfer matrix method (MSTMM), a novel dynamics approach developed during the past three decades, has several advantages compared to conventional methods. Some of these include avoiding global equations with inertia matrix, utilizing low‐order matrices independent degree freedom, high computational speed, and simplicity computer implementation. MSTMM been widely u...