Independent set

Definition A clause is a group of related words containing a subject and a verb A clause can be usefully distinguished from a phrase, which is a group of related words that does not contain a subject-verb relationship, such as "in the morning" or "running down the street" or "having grown used to this harassment. Words We Use to Talk about Clauses Learning the various terms used to define and classify clauses can be a vocabulary lesson in itself. This digital handout categorizes clauses into independent and dependent clauses. This simply means that some clauses can stand by themselves, as separate sentences, and some can't.

Independent set

Finding the independent set with maximum cardinality Independent set is called the maximum independent set problem.

Finding such a set in an arbitrary graph is NP-complete. The problem of finding maximal independent sets is simpler and more useful in practice for large graphs.

A maximal independent set is an independent set that cannot be extended with another node and still remain an independent set. Algorithm In the pseudocode below, a node can be in one of the following three states: A simple greedy algorithm solves the maximal independent set problem.

Figure 1 gives one implementation. Pseudocode for independent set algorithm. This greedy algorithm requires locks on neighbors which reduce the parallelism and performance. A better way is to give each node a priority. The priority decides whether or not the node is matched among its neighborhood without locks.

For more details, please visit http: Node 0 is initially marked IN. Note that Independent Set requires an undirected input graph. Data Structures This application only uses an input undirected graph.

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Independent set

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