Authors: Dodig, Marija 
Stošić, Marko 
Title: On convexity of polynomial paths and generalized majorizations
Journal: Electronic Journal of Combinatorics
Volume: 17
Issue: 1
First page: 1
Last page: 16
Issue Date: 20-Aug-2010
Rank: M22
ISSN: 1077-8926
DOI: 10.37236/333
Abstract: 
In this paper we give some useful combinatorial properties of polynomial paths. We also introduce generalized majorization between three sequences of integers and explore its combinatorics. In addition, we give a new, simple, purely polynomial proof of the convexity lemma of E. M. de Sá and R. C. Thompson. All these results have applications in matrix completion theory.
Project: FCT, project ISFL-1-1431
Ministry of Science of Serbia, projects no. 144014 and 144032

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