Einige Eigenschaften monotoner Matrizen.
We consider inequalities between sums of monomials that hold for all p-Newton sequences. This continues recent work in which inequalities between sums of two, two-term monomials were combinatorially characterized (via the indices involved). Our focus is on the case of sums of three, two-term monomials, but this is very much more complicated. We develop and use a theory of exponential polynomial inequalities to give a sufficient condition for general monomial sum inequalities, and use the sufficient...
We consider the primitive two-colored digraphs whose uncolored digraph has vertices and consists of one -cycle and one -cycle. We give bounds on the exponents and characterizations of extremal two-colored digraphs.