2 citations · 2 across the 5 of their papers we have counts for
5 papers
On the clique behavior and Hellyness of the complements of regular graphs
Rafael Villarroel-Flores
A collection of sets is intersecting, if any pair of sets in the collection has nonempty intersection. A collection of sets \(\mathcal{C}\) has the Helly property if any intersecti…
On the homotopy type of the iterated clique graphs of low degree
Mauricio Islas-Gómez, Rafael Villarroel-Flores
To any simple graph \(G\), the clique graph operator \(K\) assigns the graph \(K(G)\) which is the intersection graph of the maximal complete subgraphs of \(G\). The iterated cliqu…
On the clique behavior of graphs of low degree
Rafael Villarroel-Flores
To any simple graph , the clique graph operator associates the graph which is the intersection graph of the maximal complete subgraphs of . The iterated clique gra…
The Action by Natural Transformations of a Group on a Diagram of Spaces
Rafael Villarroel-Flores
For $\Cc$ a -category, we give a condition on a diagram of simplicial sets indexed on $\Cc$ that allows us to define a natural -action on its homotopy colimit, and in some ot…
Group Orders That Imply a Nontrivial p-Core
Rafael Villarroel-Flores
Given a prime number \(p\) and a natural number \(m\) not divided by \(p\), we propose the problem of finding the smallest number \(r_{0}\) such that for \(r\geq r_{0}\), every gro…