The Havel Hakimi Algorithm 3

The Havel Hakimi Algorithm
The Havel Hakimi algorithm gives a systematic approach to answer the question of determining whether it is possible to construct a simple graph from a given degree sequence.   Take as input a degree sequence S and determine if that sequence is graphical That is, can we produce a graph with that degree sequence?   ...

Spanning Trees

Spanning Trees
Let G = (V, E) be a connected graph in which each edge (u, v) E has an associated cost C(u, v).   A Spanning Tree for G is a subgraph of G that it is a free tree connecting all vertices in V. The cost of a spanning tree is the sum of costs on its edges.       Minimum Spanning Tree An MST of G is a spanning tree of G having a minimum cost. ...