The 
-centipede
graph, 
-centipede
tree, 
-comb
graph (Seoud and Youssef 2017), or simply "
-centipede," is the tree on 
nodes obtained by joining the bottoms of 
copies of the path graph 
laid in a row with edges. It is therefore
isomorphic to the 
-firecracker graph, with special cases summarized
in the table below.
 | graph |
| 1 | path graph  |
| 2 | path graph  |
| 3 | E graph |
The rank polynomial of the 
centipede is given by
 |
