Loupekine snarks information

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Loupekine snark (first)
The first Loupekine snark
Vertices	22
Edges	33
Radius	3
Diameter	4
Girth	5
Chromatic number	3
Chromatic index	4
Properties	not planar
Table of graphs and parameters

Loupekine snark (second)
The second Loupekine snark
Vertices	22
Edges	33
Radius	3
Diameter	4
Girth	5
Chromatic number	3
Chromatic index	4
Properties	not planar
Table of graphs and parameters

In the mathematical field of graph theory, the Loupekine snarks are two snarks, both with 22 vertices and 33 edges.

The first Loupekine snark graph can be described as follows (using the SageMath's syntax^[1]):

lou1 = Graph({1:[2,3,4],

5:[6,10],6:[7],7:[8],8:[9],9:[10],

11:[16,12],12:[13],13:[14],14:[15],15:[16],

17:[2,5,16],18:[2,10,11], 19:[3,7,12],20:[3,6,13], 21:[9,4,14],22:[4,8,15]}).

The second Loupekine snark is obtained (up to an isomorphism) by replacing edges 5–6 and 11–12 by edges 5–12 and 6–11 in the first graph.