
A smallest trivalent graph with no 4, 6, or 10 cycles.


A trivalent graph of order 32 with no 4, 8 or 32 cycles.


A smallest trivalent graph with no 4 or 8 cycles (there are 3 others)


Another example of a graph with no cycles of lengths 4 and 8.


The (unique) smallest trivalent graph with no 4 or 6 cycles.


A smallest trivalent graph with no 4, 6 or 8 cycles.


A smallest trivalent graph with no 4, 8, or 10 cycles.


A smallest trivalent graph with no 4, 8, or 12 cycles.
