6 papers
SAGE26 Paper I: Modelling the baryon cycle from cosmic dawn to the present day
Michael Bradley, Darren J. Croton, Robert Adriel Mostoghiu Paun +2
We present SAGE26, a comprehensive update to the Semi-Analytic Galaxy Evolution (SAGE) model. SAGE26 integrates five observationally motivated improvements: (1) distinct circumgala…
Improved Domination--Packing Bounds in Claw-Free Cubic Graphs and Unit Disk Graphs
Juan Gutiérrez, Kaustav Paul
Given a graph , the domination number is the minimum cardinality of a dominating set in , and the packing number is the maximum cardinality of a set of vertices…
Recollements of Triangulated Categories and the Singularity Category of a Triangular Matrix Category
Juan Andrés Orozco Gutiérrez, Valente Santiago Vargas
Introduced by Buchweitz, the singularity category of an algebra measures its homological singularity, vanishing if and only if has finite global dimension. This notion exte…
Independent dominating sets in planar triangulations
Fábio Botler, Cristina G. Fernandes, Juan Gutiérrez
In 1996, Matheson and Tarjan proved that every near planar triangulation on vertices contains a dominating set of size at most , and conjectured that this upper bound can…
On Tuza's conjecture for triangulations and graphs with small treewidth
Fábio Botler, Cristina G. Fernandes, Juan Gutiérrez
Tuza (1981) conjectured that the size of a minimum set of edges that intersects every triangle of a graph is at most twice the size of a maximum set of edge-disjo…
Transversals of Longest Paths
Márcia R. Cerioli, Cristina G. Fernandes, Renzo Gómez +2
Let $\lpt(G)$ be the minimum cardinality of a set of vertices that intersects all longest paths in a graph . Let be the size of a maximum clique in , and $\tw(G)$ be t…