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A line segment on the boundary of a face, also called a side.

Edge splitting is the reverse of edge contraction.

In a graph G, contraction of an edge e with endpoints u,v is the replacement of u and v with a single vertex such that edges incident to the new vertex are the edges other ...

The edge count of a graph g, commonly denoted M(g) or E(g) and sometimes also called the edge number, is the number of edges in g. In other words, it is the cardinality of ...

The edge multiplicity of a given end vertex in a multigraph is the number of multiple edges sharing that end vertex. The maximum edge multiplicity in such a graph is known as ...

An edge of a graph is said to be pendant if one of its vertices is a pendant vertex.

A one-dimensional line segment where two two-dimensional faces of an n-dimensional polytope meet, also called a side.

An graph edge of a graph is separating if a path from a point A to a point B must pass over it. Separating graph edges can therefore be viewed as either bridges or dead ends.

For an undirected graph, an unordered pair of nodes that specify a line joining these two nodes are said to form an edge. For a directed graph, the edge is an ordered pair of ...

A line segment where two faces of a polyhedron meet, also called a side.