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Diffstat (limited to 'graph/euler.cpp')
| -rw-r--r-- | graph/euler.cpp | 41 |
1 files changed, 41 insertions, 0 deletions
diff --git a/graph/euler.cpp b/graph/euler.cpp new file mode 100644 index 0000000..74b3399 --- /dev/null +++ b/graph/euler.cpp @@ -0,0 +1,41 @@ +vector< vector<int> > adjlist; +vector< vector<int> > otherIdx; +vector<int> cycle; +vector<int> validIdx; + +void swapEdges(int n, int a, int b) { // Vertauscht Kanten mit Indizes a und b von Knoten n. + int neighA = adjlist[n][a]; + int neighB = adjlist[n][b]; + int idxNeighA = otherIdx[n][a]; + int idxNeighB = otherIdx[n][b]; + swap(adjlist[n][a], adjlist[n][b]); + swap(otherIdx[n][a], otherIdx[n][b]); + otherIdx[neighA][idxNeighA] = b; + otherIdx[neighB][idxNeighB] = a; +} + +void removeEdge(int n, int i) { // Entfernt Kante i von Knoten n (und die zugehoerige Rueckwaertskante). + int other = adjlist[n][i]; + if (other == n) { //Schlingen + validIdx[n]++; + return; + } + int otherIndex = otherIdx[n][i]; + validIdx[n]++; + if (otherIndex != validIdx[other]) { + swapEdges(other, otherIndex, validIdx[other]); + } + validIdx[other]++; +} + +//findet Eulerzyklus an Knoten n startend +//teste vorher, dass Graph zusammenhaengend ist! (isolierte Punkte sind ok) +//teste vorher, ob Eulerzyklus ueberhaupt existiert! +void euler(int n) { + while (validIdx[n] < (int)adjlist[n].size()) { + int nn = adjlist[n][validIdx[n]]; + removeEdge(n, validIdx[n]); + euler(nn); + } + cycle.push_back(n); //Zyklus am Ende in cycle +}
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