[seqfan] Partition Into Stroke of Star graph
Yasu Koh
kohmotopp at gmail.com
Thu May 18 08:48:17 CEST 2023
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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