GeneralizedBlanusaSnark - Maple Help
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GraphTheory[SpecialGraphs]

  

GeneralizedBlanusaSnark

  

construct generalized Blanusa snark graph

 

Calling Sequence

Parameters

Description

Examples

References

Calling Sequence

GeneralizedBlanusaSnark(T, K)

Parameters

T

-

type of snark family (1 or 2)

K

-

nonnegative integer

Description

• 

Generalized Blanusa snarks are Isaacs dot products of copies of the Petersen graph.

• 

The argument K specifies the number of Petersen copies (K+1). The type T refers to two possible ways to perform the dot product on two copies of the Petersen graph. In particular, GeneralizedBlanusaSnark(T, 0) is the Petersen graph and GeneralizedBlanusaSnark(T, 1) is the T-th Blanusa snark (T=1,2).

Examples

> 

with⁡GraphTheory:

> 

with⁡SpecialGraphs:

> 

C≔GeneralizedBlanusaSnark⁡1,1

C≔Graph 1: an undirected graph with 18 vertices and 27 edges

(1)
> 

DrawGraph⁡C

> 

C≔GeneralizedBlanusaSnark⁡2,1

C≔Graph 2: an undirected graph with 18 vertices and 27 edges

(2)
> 

DrawGraph⁡C

References

  

Watkins, John J. (1989) "Snarks". Ann N Y Acad Sci. 576 (1): 606-622. doi:10.1111/j.1749-6632.1989.tb16441.x

See Also

DoubleStarSnark

FlowerSnark

GoldbergSnark

PetersenGraph

SpecialGraphs

SzekeresSnark

WatkinsSnark