A tree decomposition is a mapping of a graph into a related tree with desirable properties that allow it to be used to efficiently compute certain properties (e.g., independence polynomial) of the original graph. The tree decomposition of a graph is not unique and need not be isomorphic to the original graph. Tree decompositions are also known as clique trees, join trees, and junction trees. A measure of the count of original graph vertices mapped onto any tree vertex in an optimal tree decomposition is known as the treewidth.
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Jonathan is doing really well in all of his classes this semester, 5 A’s & 2 B’s (he has a computer essentials class instead of PLC). In his Algebra class that Nathan is helping him with he has an A+.
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