Graph Minor

Graph Minor

In graph theory, an undirected graph H is called a minor of the graph G if H is isomorphic to a graph that can be obtained by zero or more edge contractions on a subgraph of G.

The theory of graph minors began with Wagner's theorem that a graph is planar if and only if it does not contain the complete graph K5 nor the complete bipartite graph K3,3 as a minor. The Robertson–Seymour theorem states that the relation "being a minor of" is a well-quasi-ordering on the isomorphism classes of graphs, and implies that many other families of graphs have forbidden minor characterizations similar to that for the planar graphs.

Read more about Graph Minor:  Definitions, Example, Major Results and Conjectures, Minor-closed Graph Families, Topological Minors, Immersion Minor, Algorithms

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