2 citations · 3 across the 8 of their papers we have counts for
4 papers · 1 filter
Dirac's Theorem for hamiltonian Berge cycles in uniform hypergraphs
Alexandr Kostochka, Ruth Luo, Grace McCourt
The famous Dirac's Theorem gives an exact bound on the minimum degree of an -vertex graph guaranteeing the existence of a hamiltonian cycle. We prove exact bounds of similar typ…
Linear Bounds for Cycle-free Saturation Games
Sean English, Tomáš Masařík, Grace McCourt +3
Given a family of graphs , we define the -saturation game as follows. Two players alternate adding edges to an initially empty graph on vertices, with…
Low Diameter Monochromatic Covers of Complete Multipartite Graphs
Sean English, Connor Mattes, Grace McCourt +1
Let the diameter cover number, , denote the least integer such that under any -coloring of the edges of the graph , there exists a collection of monochromat…
On sizes of 1-cross intersecting set pair systems
Alexandr V. Kostochka, Grace McCourt, Mina Nahvi
Let be a set pair system. Füredi, Gyárfás and Király called it {\em -cross intersecting} if is when and if . They…