is there tree with 8 vertices, diameter 5, and radius 4?

141 Views Asked by At

is there a tree with vertices 8 and diameter 5 with radius 4 I think this is possible because i can draw it,

the tree height is 4, in height 1 there are 2 nodes,in height 2 there are 3 nodes, in height 2,3,4 there is 1 node,

is this right? is there other way to know tree is possible or not beside drawing it?

enter image description here