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math.CO2020
Countable homogeneous Steiner triple systems avoiding specified subsystems
Daniel Horsley, Bridget S. Webb
In this article we construct uncountably many new homogeneous locally finite Steiner triple systems of countably infinite order as Fra\"ıssé limits of classes of finite Steiner tri…
math.CO2017★ 2 cited
On Hamilton Decompositions of Infinite Circulant Graphs
Darryn Bryant, Sarada Herke, Barbara Maenhaut +1
The natural infinite analogue of a (finite) Hamilton cycle is a two-way-infinite Hamilton path (connected spanning 2-valent subgraph). Although it is known that every connected $2k…