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Expander

An expander graph is a graph with high vertex or edge expansion.

Let N(S) denote the set of neighbors of S (excluding S itself).

The Vertex Expansion of a graph is the minimum of |N(S)| / |S|.

Let E(A,B) denote the number of edges with one extremity in A and the other in B. Let /S denote the complement of S.

The Edge Expansion of a graph is the minimum E(S,/S) / |S|.

Referenced By

List of graph theory topics | List of mathematical topics (D-F) | List of mathematical topics (F-Z) | Pseudorandomness

 

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This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Expander".

 

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