Open Problems in (Hyper)Graph Decomposition
October 18, 2023 Β· Declared Dead Β· π arXiv.org
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Authors
Deepak Ajwani, Rob H. Bisseling, Katrin Casel, Γmit V. ΓatalyΓΌrek, CΓ©dric Chevalier, Florian Chudigiewitsch, Marcelo Fonseca Faraj, Michael Fellows, Lars GottesbΓΌren, Tobias Heuer, George Karypis, Kamer Kaya, Jakub Lacki, Johannes Langguth, Xiaoye Sherry Li, Ruben Mayer, Johannes Meintrup, Yosuke Mizutani, FranΓ§ois Pellegrini, Fabrizio Petrini, Frances Rosamond, Ilya Safro, Sebastian Schlag, Christian Schulz, Roohani Sharma, Darren Strash, Blair D. Sullivan, Bora UΓ§ar, Albert-Jan Yzelman
arXiv ID
2310.11812
Category
cs.DS: Data Structures & Algorithms
Citations
2
Venue
arXiv.org
Last Checked
4 months ago
Abstract
Large networks are useful in a wide range of applications. Sometimes problem instances are composed of billions of entities. Decomposing and analyzing these structures helps us gain new insights about our surroundings. Even if the final application concerns a different problem (such as traversal, finding paths, trees, and flows), decomposing large graphs is often an important subproblem for complexity reduction or parallelization. This report is a summary of discussions that happened at Dagstuhl seminar 23331 on "Recent Trends in Graph Decomposition" and presents currently open problems and future directions in the area of (hyper)graph decomposition.
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