14 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
4 papers · 1 filter
On a Diagonal Conjecture for Classical Ramsey Numbers
Meilian Liang, Stanisław Radziszowski, Xiaodong Xu
Let denote the classical -color Ramsey number for integers . The Diagonal Conjecture (DC) for classical Ramsey numbers poses that if $k_1, \cdot…
On the Nonexistence of Some Generalized Folkman Numbers
Xiaodong Xu, Meilian Liang, Stanisław Radziszowski
For an undirected simple graph , we write if and only if for every red-blue coloring of its vertices there exists a red or a blue . The g…
Chromatic Vertex Folkman Numbers
Xiaodong Xu, Meilian Liang, Stanisław Radziszowski
For graph and integers , we write if and only if for every -coloring of the vertex set there exists…
Bounds on Shannon Capacity and Ramsey Numbers from Product of Graphs
Xiaodong Xu, Stanisław Radziszowski
In this note we study Shannon capacity of channels in the context of classical Ramsey numbers. We overview some of the results on capacity of noisy channels modelled by graphs, and…