Flower graphs are a name given in this work to the generalization of the flower snarks
for positive
,
7, 9, ... to all integer
.
They are illustrated above for
to 9. Flower graphs are unit-distance.
Precomputed properties of flower graphs are implemented in the Wolfram Language as GraphData["Flower", n
].
Different graphs are sometimes termed flower graphs by various authors.
Herbster and Pontil (2006) define a flower graph as a graph obtained by connecting the first vertex of a chain with vertices to the root vertex of an
-ary tree of depth one. The vertices of this graph can be indexed
so that vertices 1 to
correspond to "stem vertices" and vertices
to
to "petals."
Seoud and Youssef (2017) define a flower graph as the graph obtained from a helm graph by joining each pendent vertex to the central vertex (Gallian 2018).