Abstract
In this paper, some new families of integral trees with diameters 4, 6 and 8 are given. All these classes are infinite. They are different from those in the existing literature. We also prove that the problem of finding integral trees of diameters 4, 6 and 8 is equivalent to the problem of solving Pell's diophantine equations. The discovery of these integral trees is a new contribution to the search for such trees.
| Original language | English |
|---|---|
| Pages (from-to) | 29-44 |
| Number of pages | 16 |
| Journal | Australasian Journal of Combinatorics |
| Volume | 25 |
| State | Published - 2002 |