3 papers
math.CO2019
On Degree Sum Conditions and Vertex-Disjoint Chorded Cycles
Bradley Elliott, Ronald Gould, Kazuhide Hirohata
In this paper, we consider a general degree sum condition sufficient to imply the existence of vertex-disjoint chorded cycles in a graph . Let be the minimum degree…
math.CO2019
Increasing paths in countable graphs
Andrii Arman, Bradley Elliott, Vojtěch Rödl
In this paper we study variations of an old result by Müller, Reiterman, and the last author stating that a countable graph has a subgraph with infinite degrees if and only if in a…
math.CO2018
Embedding Hypertrees into Steiner Triple Systems
Bradley Elliott, Vojtěch Rödl
In this paper we are interested in the following question: Given an arbitrary Steiner triple system on vertices and any 3-uniform hypertree on vertices, is it neces…