Chalkboard #11 Maximal Independent Sets, Cycles and Spanning Trees

In graph theory an independent set is a set of vertices in a graph in which no two vertices are adjacent so no edge connects these two vertices. The maximal independent set (MIS) is the largest set of independent sets for a graph. An MIS is not a subset of any independent set.

The number of maximal independent sets for an n-cycle or an n-gon graph can be found from the Perrin sequence of numbers.

Reference: R. Bisdorff and JL. Marichal, Counting non-isomorphic maximal independent sets of the n-cycle graph, J. of Integer Sequences, Vol. 11 (2008).
Board11__Maximal_Independent_Sets

Advertisements

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out /  Change )

Google+ photo

You are commenting using your Google+ account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

w

Connecting to %s