Geodesic
On convexity of polynomial paths and generalized majorizations
The electronic journal of combinatorics, Tome 17 (2010)
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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.
DOI : 10.37236/333
Classification : 05A17, 15A21
Mots-clés : matrix completion theory 
@article{10_37236_333,
     author = {Marija Dodig and Marko Sto\v{s}i\'c},
     title = {On convexity of polynomial paths and generalized majorizations},
     journal = {The electronic journal of combinatorics},
     year = {2010},
     volume = {17},
     doi = {10.37236/333},
     zbl = {1230.05035},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/333/}
}
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Marija Dodig; Marko Stošić. On convexity of polynomial paths and generalized majorizations. The electronic journal of combinatorics, Tome 17 (2010). doi: 10.37236/333

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