- Abstract:
- Reed and Seymour [1998] asked whether every graph has a partition into induced connected non-empty bipartite subgraphs such that the quotient graph is chordal. If true, this would have significant ramifications for Hadwiger’s Conjecture. We prove that the answer is ‘no’. In fact, we show that the answer is still ‘no’ for several relaxations of the question.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
- Version:
- Accepted Manuscript
- Files:
-
-
(pdf, 105.2KB)
-
- Publisher copy:
- 10.1002/jgt.22363
-
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- Publisher:
- Wiley Publisher's website
- Journal:
- Journal of Graph Theory Journal website
- Volume:
- 90
- Issue:
- 5
- Pages:
- 5-12
- Publication date:
- 2018-06-12
- Acceptance date:
- 2018-03-31
- DOI:
- EISSN:
-
1097-0118
- ISSN:
-
0364-9024
- Pubs id:
-
pubs:833232
- URN:
-
uri:ad8cf45a-a657-46e7-800e-c096c110226b
- UUID:
-
uuid:ad8cf45a-a657-46e7-800e-c096c110226b
- Local pid:
- pubs:833232
- Copyright holder:
- Wiley Periodicals Inc.
- Copyright date:
- 2018
- Notes:
- © 2018 Wiley Periodicals, Inc. This is the accepted manuscript version of the article. The final version is available online from Wiley at: https://doi.org/10.1002/jgt.22363
Journal article
Bad news for chordal partitions
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Office for Nuclear Regulation
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Australian Research Council
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