Sebastián Bustamante

activity

20152019

most citedClique immersions and independence number

11 citations · 28 across the 4 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.CO2019★ 11 cited

Clique immersions and independence number

Sebastián Bustamante, Daniel A. Quiroz, Maya Stein +1

The analogue of Hadwiger's conjecture for the immersion order states that every graph $G$ contains $K_{χ (G)}$ as an immersion. If true, it would imply that every graph with $n$ ver…

math.CO2019

Partitioning infinite hypergraphs into few monochromatic Berge-paths

Sebastián Bustamante, Jan Corsten, Nóra Frankl

Extending a result of Rado to hypergraphs, we prove that for all $s, k, t \in N$ with $k \geq t \geq 2$ , the vertices of every $r = s (k - t + 1)$ -edge-coloured countably infin…

math.CO2019★ 10 cited

Partitioning edge-coloured hypergraphs into few monochromatic tight cycles

Sebastián Bustamante, Jan Corsten, Nóra Frankl +2

Confirming a conjecture of Gyárfás, we prove that, for all natural numbers $k$ and $r$ , the vertices of every $r$ -edge-coloured complete $k$ -uniform hypergraph can be partitioned i…