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math.CO2021
On cyclically 4-connected cubic graphs
R. J. Kingan, S. R. Kingan
For , let and denote the ladder and Möbius ladder on vertices, respectively. We prove results that build on a result by Wormald that states that any…
math.CO2021
Constructing minimally 3-connected graphs
J. P. Costalonga, R. J. Kingan, S. R. Kingan
A -connected graph is minimally 3-connected if removal of any edge destroys 3-connectivity. We present an algorithm for constructing minimally 3-connected graphs based on the re…