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Move Algorithm.md to doc folder

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Joris van Rantwijk 2023-04-15 12:03:39 +02:00
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@ -132,7 +132,7 @@ A vertex is matched if it is incident to an edge in the matching, otherwise it i
An alternating path is a simple path that alternates between matched and unmatched edges.
![Figure 1](doc/figures/graph1.png)
![Figure 1](figures/graph1.png)
*Figure 1*
Figure 1 depicts a graph with 6 vertices and 9 edges.
@ -208,7 +208,7 @@ Furthermore, after shrinking a blossom, that blossom can become a sub-blossom
in a bigger blossom.
Figure 2 depicts a graph with several nested blossoms.
![Figure 2](doc/figures/graph2.png) <br>
![Figure 2](figures/graph2.png) <br>
*Figure 2: Nested blossoms*
To describe the algorithm unambiguously, we need precise definitions:
@ -292,7 +292,7 @@ In this case a new blossom must be created by shrinking the cycle.
If the two S-blossoms are in different alternating trees, the edge that links the blossoms
is part of an augmenting path between the roots of the two trees.
![Figure 3](doc/figures/graph3.png) <br>
![Figure 3](figures/graph3.png) <br>
*Figure 3: Growing alternating trees*
The graph in figure 3 contains two unmatched vertices: 0 and 7.
@ -420,7 +420,7 @@ The blossom also has a different base vertex.
(In specific cases where the augmenting path merely "grazes" a blossom,
the orientation and base vertex remain unchanged.)
![Figure 4](doc/figures/graph4.png) <br>
![Figure 4](figures/graph4.png) <br>
*Figure 4: Augmenting path through a blossom*
Figure 4 shows an augmenting path that runs through a blossom.
@ -632,7 +632,7 @@ We then assign alternating labels T and S to the sub-blossoms along that path
and link them into the alternating tree.
All vertices of sub-blossoms that got label S are inserted into _Q_.
![Figure 5](doc/figures/graph5.png) <br>
![Figure 5](figures/graph5.png) <br>
*Figure 5: Expanding a T-blossom*
### Keeping track of least-slack edges