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  • Jesse Sakari Hyttinen

The language of tget 3 - Jesse Hyttinen

Updated: Apr 20, 2021


Hi and welcome to the Matladpi blog! In this post I will concentrate on graphically equivalent sum forms that have different vertex edge algebraic representations.

These situations happen when the sum forms are those of free trees. For example, for free trees, 

1 + 1×3 ~ 1 + 3

So, these sum forms are not the same but represent the same graphical forms of a free tree. See the graphical forms below (o is the root vertex and x is an internal or an external vertex):

 x x                       x

 | /                       /

o -- x          o -- x -- x

1 + 1×3       1 + 3          

If you think root vertex as an internal or external vertex, you will see that these trees are indeed the same!    

Now, another example:

x -- o -- x -- x          o -- x -- x -- x

1 + (1 + 1) + 1       1 + (1 + (1 + 1))

With the same method, you will see that these sum forms for free trees have equal graphical representations, too.

In other words, for free trees, 

1 + (1 + 1) + 1 ~ 1 + (1 + (1 + 1))

Njäf! said.

!!!

From now on, I will be posting once a week, near or on sundays. This better suits my style, as so I have discovered while making these posts.

I am Jesse Sakari Hyttinen and I will see you in the next post!

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