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math.CO2021
Planar graphs with the maximum number of induced 6-cycles
Michael Savery
For large we determine the maximum number of induced 6-cycles which can be contained in a planar graph on vertices, and we classify the graphs which achieve this maximum. I…
math.CO2021★ 2 cited
Planar graphs with the maximum number of induced 4-cycles or 5-cycles
Michael Savery
For large we determine exactly the maximum numbers of induced and subgraphs that a planar graph on vertices can contain. We show that uniquely achie…