Graph Invariant

In mathematics a graph invariant or graph property is one of the basic properties of graphs studied in graph theory. A graph can be given graphically in the form of a graph drawing. But a given graph may be drawn in several equivalent ways and even for small graphs it is often hard to decide if two drawings represent the same graph, that is if two graphs are isomorphic. When manipulating graphs in a computer, depending on the data structure used, the vertices and the edges of the graph have to be labeled. There is no canonical way to label a graph and a common problem is to decide if two graph structures are isomorphic. Proving that two given graph presentations are not isomorphic is often done by showing that one graph has a certain graph invariant the other graph lacks.

Graph invariants

  • number of vertices
  • number of edges

 

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