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Exponential polynomial inequalities and monomial sum inequalities in p -Newton sequences

Charles R. Johnson, Carlos Marijuán, Miriam Pisonero, Michael Yeh (2016)

Czechoslovak Mathematical Journal

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...

Exponents of two-colored digraphs

Yan Ling Shao, Yubin Gao (2009)

Czechoslovak Mathematical Journal

We consider the primitive two-colored digraphs whose uncolored digraph has n + s vertices and consists of one n -cycle and one ( n - 3 ) -cycle. We give bounds on the exponents and characterizations of extremal two-colored digraphs.

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