On Seymour's and Sullivan's second neighbourhood conjectures
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Publication:6144918
DOI10.1002/jgt.23050arXiv2306.03493OpenAlexW4387817217MaRDI QIDQ6144918
Anders Yeo, Stefanie Gerke, Gregory Gutin, Jiangdong Ai, Shujing Wang, Yacong Zhou
Publication date: 30 January 2024
Published in: Journal of Graph Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2306.03493
planar digraphsoriented split graphsSeymour's second neighbourhood conjectureSullivan's second neighbourhood conjecture
Planar graphs; geometric and topological aspects of graph theory (05C10) Directed graphs (digraphs), tournaments (05C20)
Cites Work
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- The second neighbourhood for bipartite tournaments
- The second neighbourhood for quasi-transitive oriented graphs
- The second out-neighborhood for local tournaments
- Seymour's Second Neighborhood Conjecture for Tournaments Missing a Generalized Star
- Tournaments and Semicomplete Digraphs
- Median orders of tournaments: A tool for the second neighborhood problem and Sumner's conjecture
- Remarks on the second neighborhood problem
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