# Computer Science/Discrete Mathematics Seminar I

## Induced Subgraphs and Tree Decompositions

Tree decompositions are a powerful tool in both structural graph theory and graph algorithms. Many hard problems become tractable if the input graph is known to have a tree decomposition of bounded “width”. Exhibiting a particular kind of a tree decomposition is also a useful way to describe the structure of a graph.

Tree decompositions have traditionally been used in the context of forbidden graph minors; bringing them into the realm of forbidden induced subgraphs has until recently remained out of reach. Over the last couple of years we have made significant progress in this direction, exploring both the classical notion of bounded tree-width, and concepts of more structural flavor. This talk will survey some of these ideas and results.

### Date & Time

February 20, 2023 | 11:15am – 12:15pm

### Location

Simonyi 101 and Remote Access### Speakers

### Affiliation

Princeton University