作者Austin9 (奧斯丁)
看板Grad-ProbAsk
標題[理工] [離散]87逢甲
時間Fri Jul 30 22:54:47 2010
Using graph technique to find a circular arrangement of nine a's,nine b's
and nine c's such that each of the 27 words of length 3 from the alphabet
{a,b,c} appear exaclty once.
ans:
V={aa,ab,ac,ba,bb,bc,ca,cb,cc}
E={(t1t2,t2t3)|tiε{a,b,c},i=1,2,3}
for all vεV,id(v)=od(v)=3
G具有向的Euler circuit
aa->aa->ab->ba->ab->bb->bb->bc->cb->bc->cc->cc->cb->ba->aa->ac->cb->bb->
ba->ac->cc->ca->ac->ca->aa->bc->ca->aa
請問一下,有人怎麼知道怎麼跑出來的嗎?我怎麼試都試不出來說>_<
可以教一下嗎?謝謝。
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