some of your statement is wrong
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作者:fool (等级:11 - 出神入化,发帖:5183) 发表:2003-05-30 17:50:00  楼主  关注此帖
ha? is the simplified version of Euler circle?if you want to have any EUla circle, then every points must have Even path linking out if you want just go through , no need to come back then can have one point with odd number of paths linking out...
some of your statement is wrong
if you want just go through , no need to come back
then can have one point with odd number of paths linking out...

I think it's wrong. Make a simple example.

5 points in a straight line.
got 2 points with odd number of path, right?

From what I have known, to be a shape that can go through at once, it will have the property below.
The point of odd number of paths linking out should be less than 2 or even number. However, not all the shapes fulfil this requirement can be a euler circle.
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作者:fool (等级:11 - 出神入化,发帖:5183) 发表:2003-06-07 11:00:52  2楼
sorry, should be EXACTLY 2 odd vertex if it hasan open Euler path
wrong again,
let's make it 5x5 points matrix, how many points with odd vertex? 12points at the side, right?
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