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-rw-r--r--graph/bellmannFord.cpp18
-rw-r--r--graph/graph.tex5
2 files changed, 23 insertions, 0 deletions
diff --git a/graph/bellmannFord.cpp b/graph/bellmannFord.cpp
new file mode 100644
index 0000000..94fa034
--- /dev/null
+++ b/graph/bellmannFord.cpp
@@ -0,0 +1,18 @@
+//n = number of vertices, edges is vector of edges
+dist.assign(n, INF); dist[0] = 0;
+parent.assign(n, -1);
+for (i = 0; i < n - 1; i++) {
+ for (j = 0; j < (int)edges.size(); j++) {
+ if (dist[edges[j].from] + edges[j].cost < dist[edges[j].to]) {
+ dist[edges[j].to] = dist[edges[j].from] + edges[j].cost;
+ parent[edges[j].to] = edges[j].from;
+ }
+ }
+}
+//now dist and parent are correct shortest paths
+//next lines check for negative cycles
+for (j = 0; j < (int)edges.size(); j++) {
+ if (dist[edges[j].from] + edges[j].cost < dist[edges[j].to]) {
+ //NEGATIVE CYCLE found
+ }
+}
diff --git a/graph/graph.tex b/graph/graph.tex
index 53cfb2a..4646ee3 100644
--- a/graph/graph.tex
+++ b/graph/graph.tex
@@ -1,5 +1,10 @@
\section{Graphen}
+\subsection{Kürzeste Wege}
+
+\subsubsection{\textsc{Bellmann-Ford}-Algorithmus}
+\lstinputlisting{graph/bellmannFord.cpp}
+
\subsection{Strongly Connected Components (\textsc{Tarjans}-Algorithmus)}
\lstinputlisting{graph/scc.cpp}