The Structure of Locally Finite Two-Connected Graphs

@article{Droms1995TheSO,
title={The Structure of Locally Finite Two-Connected Graphs},
author={Carl Droms and Brigitte Servatius and Herman Servatius},
journal={Electr. J. Comb.},
year={1995},
volume={2}
}

We expand on Tutte’s theory of 3-blocks for 2-connected graphs, generalizing it to apply to infinite, locally finite graphs, and giving necessary and sufficient conditions for a labeled tree to be the 3-block tree of a 2-connected graph. Mathematics Subject Classification: 05C40, 05C38, and 05C05.