# Graph - Spanning

A set S of edges is spanning for a graph G if, for every edge {x, y} of G, there is an x-to-y path consisting of edges of S.

ie for each edge xy in G, there is an x-to-y path consisting of edges of S.

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Graph (Network - Nodes and edges)

A graph is a set of vertices connected by edges. See Data representation that naturally captures complex relationships is a graph (or network). Except of the special graph that a tree is, the data...
Graph Analysis - Minimum spanning forest

Minimum spanning forest input: a graph G, and an assignment of real-number weights to the edges of G. output: a minimum-weight set S of edges that is and a . Application: Design hot-water...
Linear Algebra - Graph

graph in linear algebra Formulating GF(2) vector: subset {Pembroke, Main, Gregorian} is represented by: Pembroke Athletic Bio-Med Main Keeney Wriston Gregorian 1 1 1 Edge Representation...
Linear Algebra - Span of a Vector Space

The set of all linear combinations of some vectors v1,...,vn is called the span of these vectors and contains always the origin. Example: Let V = Span {[0, 0, 1], [2, 0, 1], [4, 1, 2]}. A vector belongs...