graph
Loading your saved state.
graph
In mathematics and computer science, an abstract structure consisting of a set of objects (nodes) and the connections (edges) between them. It is used to represent networks and relationships.
Dijkstras Algorithmus findet den kürzesten Weg in einem Graphen.
Dijkstra's algorithm finds the shortest path in a graph.
graph
A graphical representation of data or of a mathematical function in a coordinate system, used to make relationships visible.
Der Graph der Sinusfunktion hat eine charakteristische Wellenform.
The graph of the sine function has a characteristic wave shape.
'Graph' belongs to the word family around the Greek root '-graph-', which means 'to write' or 'to draw'. That is why it is also related to words like 'Grafik' (graphic) or 'grafisch' (graphic/graphical).
Eine gute Grafik kann komplexe Zusammenhänge einfach darstellen.
A good graphic can present complex relationships in a simple way.
Careful: while the English word 'graph' is often used generally for charts such as bar charts or pie charts, 'der Graph' (the graph) in German specifically refers to the mathematical representations mentioned here.
Der Graph der e-Funktion schneidet die y-Achse bei 1.
The graph of the exponential function intersects the y-axis at 1.
You can recognize the two meanings from the context. If people talk about 'Knoten' (nodes) and 'Kanten' (edges), they mean the structure from computer science. If it is about 'Funktionen' (functions) and 'Achsen' (axes), they mean the curve in a coordinate system.
Dieser Graph besteht aus fünf Knoten und sieben Kanten.
This graph consists of five nodes and seven edges.
In graph theory (mathematics, computer science), a graph always consists of 'Knoten' (nodes, or vertices) and 'Kanten' (edges), which connect the nodes to one another.
Soziale Netzwerke lassen sich als riesige Graphen darstellen.
Social networks can be represented as huge graphs.
In math class, 'Graph' almost always means the 'Graph einer Funktion' (graph of a function). This is drawn in a coordinate system with an x-axis and a y-axis.
Anhand des Graphen können wir sehen, wo die Funktion steigt und fällt.
Using the graph, we can see where the function rises and falls.
graphic / graphics
Both a Grafik and a Graph can represent data in a visual form. Graph refers more specifically to the representation of data or a mathematical function in a coordinate system, while Grafik is more general. Use Graph when this mathematical or data-related form is meant; for a general picture, Grafik is the appropriate term.
Der Graph zeigt, wie sich die Temperatur im Tagesverlauf verändert.
The graph shows how the temperature changes over the course of the day.
Die Grafik zeigt die wichtigsten Ergebnisse des Berichts anschaulich.
The graphic clearly shows the report's most important results.
