We invesitage the multiplicative loops of finite semifields. We show that the group generated by the left and right multiplication maps contains the special linear group. This resu...
In our previous paper, we presented the combinatorial theory for minimal isostatic pinned frameworks - Assur graphs - which arise in the analysis of mechanical linkages. In this p...
We give a combinatorial formula for the inverses of the alternating sums of free quasi-symmetric functions of the form F(I) where I runs over compositions with parts in a prescribe...
The concept of permutograph is introduced and properties of integral functions on permutographs are established. The central result characterizes the class of integral functions t...
Most of these problems were presented at the conference on Combinatorics, Geometry and Computer Science, held at CIRM, Luminy, 2-4 May 2007. I have added one problem on a similar ...