Research Article

Infinitely Many Trees with Maximum Number of Holes Zero, One, and Two

Table 1

Trees connectable to a vertex colored in a two-hole tree with 1 and 3 as holes.

Color of vertexConnectable treesCondition

and all colors greater than less than adjacent to .

and all colors less than adjacent to .
and all colors less than adjacent to .

c>
and all colors greater than less than adjacent to .
and
and