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http://hdl.handle.net/11718/14399| Title: | On Path Decompositions of Graphs and Multigraphs |
| Authors: | Tipnis, Shailesh K |
| Keywords: | Decompositions;Multigraphs;Graphs and Multigraphs;H-decomposition |
| Issue Date: | 28-Aug-2015 |
| Publisher: | Indian Institute of Management, Ahmedabad |
| Abstract: | For graphs G and H, graph G is said to admit an H-decomposition if the edges of G can be partitioned into isomorphic copies of H. Let P4 denote the path on 4 vertices. We survey results that assert that certain graphs and multigraphs admit a P4 decomposition. We then prove that unless P = NP some of these results are best possible by proving that their extensions are NP-complete. The positive results and the NP-complete results provide evidence for a conjecture about P4 decomposability of even-regular multigraphs. |
| Description: | The R & P seminar held at Wing 11 Committee Room, IIM Ahmedabad on August 28, 2015 by Prof. Shailesh K. Tipnis, Illinois State University, USA on "On Path Decompositions of Graphs and Multigraphs". |
| URI: | http://hdl.handle.net/11718/14399 |
| Appears in Collections: | R & P Seminar |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| IIMA_28_08_2015.mp4 | IIMA_28_08_2015 | 247.17 MB | MP4 Video | View/Open |
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