User:Realazthat/Notes/Scrap: Difference between revisions
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\begin{array}{lcl} |
\begin{array}{lcl} |
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b\left(E,u |
b\left(E,u,v\right) |
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\in \left\{0,1\right\} |
\in \left\{0,1\right\} |
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& = & |
& = & |
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1 & \text{if }\left(u,v\right)\text{ is not an edge in }E\end{cases}\\ |
1 & \text{if }\left(u,v\right)\text{ is not an edge in }E\end{cases}\\ |
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f\left(F,u |
f\left(E,F,u,v\right) |
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\in \left\{0,1\right\} |
\in \left\{0,1\right\} |
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& = & |
& = & |
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\begin{cases} |
\begin{cases} |
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0 & \text{if }\left(u,v\right)\ |
0 & \text{if } b\left(E,u,v\right) \neq 1 \vee b\left(F,u,v\right) \neq 0\\ |
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1 & \text{if }\left(u,v\right) |
1 & \text{if } b\left(E,u,v\right) = 1 \wedge b\left(F,u,v\right) = 0\end{cases} \\ |
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c\left(C,E,p \in C,q \in C,r \in C,s \in C\right)\in\left\{ 0,1,2,3\right\} & = & b\left(E,C_{p-1},C_{q+1}\right)+b\left(E,C_{q},C_{s}\right)+b\left(E,C_{p},C_{r}\right) \\ |
c\left(C,E,p \in C,q \in C,r \in C,s \in C\right)\in\left\{ 0,1,2,3\right\} & = & b\left(E,C_{p-1},C_{q+1}\right)+b\left(E,C_{q},C_{s}\right)+b\left(E,C_{p},C_{r}\right) \\ |