14 citations · 48 across the 28 of their papers we have counts for
5 papers · 1 filter
Linkedness of Cartesian products of complete graphs
Leif K. Jorgensen, Guillermo Pineda-Villavicencio, Julien Ugon
This paper is concerned with the linkedness of Cartesian products of complete graphs. A graph with at least vertices is {\it -linked} if, for every set of distinct ver…
An algorithm for best generalised rational approximation of continuous functions
R. Díaz Millán, Nadezda Sukhorukova, Julien Ugon
The motivation of this paper is the development of an optimisation method for solving optimisation problems appearing in Chebyshev rational and generalised rational approximation p…
The linkedness of cubical polytopes: The cube
Hoa T. Bui, Guillermo Pineda-Villavicencio, Julien Ugon
The paper is concerned with the linkedness of the graphs of cubical polytopes. A graph with at least vertices is \textit{-linked} if, for every set of disjoint pairs of…
The linkedness of cubical polytopes: beyond the cube
Hoa T. Bui, Guillermo Pineda-Villavicencio, Julien Ugon
A cubical polytope is a polytope with all its facets being combinatorially equivalent to cubes. The paper is concerned with the linkedness of the graphs of cubical polytopes. A gra…
Minimum number of edges of polytopes with 2d + 2 vertices
Guillermo Pineda-Villavicencio, Julien Ugon, David Yost
We define an analogue of the cube and an analogue of the 5-wedge in higher dimensions, each with vertices and edges. We show that these two are the only minimiser…