Use this if you are using igraph from R
| make_star {igraph} | R Documentation | 
star creates a star graph, in this every single vertex is
connected to the center vertex and nobody else.
make_star(n, mode = c("in", "out", "mutual", "undirected"), center = 1)
star(...)
n | 
 Number of vertices.  | 
mode | 
 It defines the direction of the
edges,   | 
center | 
 ID of the center vertex.  | 
... | 
 Passed to   | 
An igraph graph.
Other deterministic constructors: 
graph_from_atlas(),
graph_from_edgelist(),
graph_from_literal(),
make_chordal_ring(),
make_empty_graph(),
make_full_citation_graph(),
make_full_graph(),
make_graph(),
make_lattice(),
make_ring(),
make_tree()
make_star(10, mode = "out")
make_star(5, mode = "undirected")