[seqfan] Re: Partition Into Stroke of Star graph

[Allan Wechsler]

I think I do not understand the definition.

For n = 3, why is 302+01 not included?

On Thu, May 18, 2023 at 3:04 AM Yasu Koh <kohmotopp at gmail.com> wrote:

>  Hi  Seqfan
>     I am an amateur mathematician  and my ability of English is not so
> good, so it is difficult for me to explain mathematics
>
>       Thought, I made this problem, it is difficult to define it
>       Recently, I got the best definition of Partition Into Stroke    It is
> the following
>
>     Partition of graph G=(V,E) into strokes is a collection of directed
> edge-disjoint trails (viewed as sets of directed edges) in G such that (0)
> E must be undirected (i) no two trails can be concatenated into a single
> one; (ii) the corresponding undirected edges form a partition of E.
> One more condition (0) is added
>     First of  all, does my definition have  any sense ?
>     Did you computed the case of directed, labelled, mirror symmetric ?
>     Mine is the following
>
>            1, 2, 4, 8, 50,   ....    OFF SET 0    0 mean  phi
>
>
>     Could you compute it  and explain the case of n=3 with a figure like
> this ?
>
>            1
>            0
>       2         3
>
>            For n = 3
>             103+02, 103+20, 301+02, 301+20, 203+01, 203+10,
>            03+02+01, 30+20+10;
>
>
>
>     Yasutoshi
>
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