Edit Profile (opens in new tab) Erde, Joshua Co-Author Distance Author ID: erde.joshua Published as: Erde, Joshua; Erde, J. Further Spellings: Erde, Joshua Paul Homepage: https://www.math.tugraz.at/~erde/ External Links: MGP · ORCID · Google Scholar · MathOverflow · dblp Documents Indexed: 44 Publications since 2012, including 15 Additional arXiv Preprints Co-Authors: 41 Co-Authors with 35 Joint Publications 676 Co-Co-Authors all top 5 Co-Authors 9 single-authored 12 Pitz, Max F. 11 Kang, Mihyun 9 Bowler, Nathan 7 Gollin, J. Pascal 7 Krivelevich, Michael 7 Lehner, Florian 6 Elbracht, Christian 6 Teegen, Maximilian 5 Heuer, Karl 4 Diskin, Sahar 4 Do, Tuan Anh 2 Barber, Ben 2 Diestel, Reinhard 2 Heinig, Peter 2 Joó, Attila 2 Knappe, Paul 2 Missethan, Michael 2 Weißauer, Daniel 1 Baber, Rahil 1 Behague, Natalie C. 1 Calbet, Asier 1 Cooley, Oliver 1 Eberenz, Philipp 1 Golénia, Bruno 1 Golénia, Sylvain 1 Gollin, Pascal 1 Gray, Ron 1 Ivan, Maria-Romina 1 Janzer, Barnabás 1 Joó, Atilla 1 Keevash, Peter 1 Merker, Martin 1 Milićević, Luka 1 Mohar, Bojan 1 Reinhard, Diestel 1 Roberts, Alexander 1 Stavropoulos, Konstantinos S. 1 Talbot, John 1 Tan, Ta Sheng 1 Walters, Mark 1 Wickes, Belinda all top 5 Serials 6 Journal of Combinatorial Theory. Series B 6 SIAM Journal on Discrete Mathematics 3 The Electronic Journal of Combinatorics 2 Journal of Graph Theory 1 Discrete Applied Mathematics 1 Discrete Mathematics 1 The Annals of Probability 1 Bulletin of the London Mathematical Society 1 Journal of Combinatorial Theory. Series A 1 Proceedings of the American Mathematical Society 1 Combinatorica 1 Combinatorics, Probability and Computing 1 The New York Journal of Mathematics 1 Integers 1 Journal of Combinatorics 1 Discrete Analysis all top 5 Fields 35 Combinatorics (05-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Probability theory and stochastic processes (60-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Mathematical logic and foundations (03-XX) 1 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Convex and discrete geometry (52-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 23 Publications have been cited 73 times in 62 Documents Cited by ▼ Year ▼ Duality theorems for blocks and tangles in graphs. Zbl 1366.05103 Diestel, Reinhard; Eberenz, Philipp; Erde, Joshua 10 2017 Decomposing the cube into paths. Zbl 1300.05250 Erde, Joshua 7 2014 A unified treatment of linked and lean tree-decompositions. Zbl 1384.05132 Erde, Joshua 6 2018 A counterexample to montgomery’s conjecture on dynamic colourings of regular graphs. Zbl 1367.05068 Bowler, N.; Erde, J.; Lehner, F.; Merker, M.; Pitz, M.; Stavropoulos, K. 6 2017 The closed knight tour problem in higher dimensions. Zbl 1266.05078 Erde, Joshua; Golénia, Bruno; Golénia, Sylvain 5 2012 A note on the combinatorial derivation of nonsmall sets. Zbl 1301.05364 Erde, Joshua 4 2014 Hamilton decompositions of one-ended Cayley graphs. Zbl 1430.05049 Erde, Joshua; Lehner, Florian; Pitz, Max 4 2020 Topological ubiquity of trees. Zbl 1497.05034 Bowler, Nathan; Elbracht, Christian; Erde, Joshua; Gollin, J. Pascal; Heuer, Karl; Pitz, Max; Teegen, Maximilian 4 2022 Structural submodularity and tangles in abstract separation systems. Zbl 1417.05162 Diestel, Reinhard; Erde, Joshua; Weißauer, Daniel 4 2019 Expansion in supercritical random subgraphs of the hypercube and its consequences. Zbl 1506.05115 Erde, Joshua; Kang, Mihyun; Krivelevich, Michael 3 2023 Isoperimetry in integer lattices. Zbl 1404.05074 Barber, Ben; Erde, Joshua 3 2018 Refining a tree-decomposition which distinguishes tangles. Zbl 1366.05104 Erde, Joshua 2 2017 Planarity and genus of sparse random bipartite graphs. Zbl 1492.05032 Do, Tuan A.; Erde, Joshua; Kang, Mihyun 2 2022 A Cantor-Bernstein-type theorem for spanning trees in infinite graphs. Zbl 1466.05141 Erde, Joshua; Pascal Gollin, J.; Joó, Atilla; Knappe, Paul; Pitz, Max 2 2021 Base partition for mixed families of finitary and cofinitary matroids. Zbl 1474.05040 Erde, Joshua; Gollin, J. Pascal; Joó, Attila; Knappe, Paul; Pitz, Max 2 2021 Non-reconstructible locally finite graphs. Zbl 1397.05116 Bowler, Nathan; Erde, Joshua; Heinig, Peter; Lehner, Florian; Pitz, Max 2 2018 An \(n\)-in-a-row game. Zbl 1335.91025 Erde, Joshua 1 2015 A counterexample to the reconstruction conjecture for locally finite trees. Zbl 1370.05153 Bowler, Nathan; Erde, Joshua; Heinig, Peter; Lehner, Florian; Pitz, Max 1 2017 Ubiquity of graphs with nowhere-linear end structure. Zbl 1522.05457 Bowler, Nathan; Elbracht, Christian; Erde, Joshua; Gollin, J. Pascal; Heuer, Karl; Pitz, Max; Teegen, Maximilian 1 2023 A short derivation of the structure theorem for graphs with excluded topological minors. Zbl 1419.05199 Erde, Joshua; Weißauer, Daniel 1 2019 Large complete minors in random subgraphs. Zbl 1510.05262 Erde, Joshua; Kang, Mihyun; Krivelevich, Michael 1 2021 Enlarging vertex-flames in countable digraphs. Zbl 1473.05106 Erde, Joshua; Gollin, J. Pascal; Joó, Attila 1 2021 Directed path-decompositions. Zbl 1432.05079 Erde, Joshua 1 2020 Expansion in supercritical random subgraphs of the hypercube and its consequences. Zbl 1506.05115 Erde, Joshua; Kang, Mihyun; Krivelevich, Michael 3 2023 Ubiquity of graphs with nowhere-linear end structure. Zbl 1522.05457 Bowler, Nathan; Elbracht, Christian; Erde, Joshua; Gollin, J. Pascal; Heuer, Karl; Pitz, Max; Teegen, Maximilian 1 2023 Topological ubiquity of trees. Zbl 1497.05034 Bowler, Nathan; Elbracht, Christian; Erde, Joshua; Gollin, J. Pascal; Heuer, Karl; Pitz, Max; Teegen, Maximilian 4 2022 Planarity and genus of sparse random bipartite graphs. Zbl 1492.05032 Do, Tuan A.; Erde, Joshua; Kang, Mihyun 2 2022 A Cantor-Bernstein-type theorem for spanning trees in infinite graphs. Zbl 1466.05141 Erde, Joshua; Pascal Gollin, J.; Joó, Atilla; Knappe, Paul; Pitz, Max 2 2021 Base partition for mixed families of finitary and cofinitary matroids. Zbl 1474.05040 Erde, Joshua; Gollin, J. Pascal; Joó, Attila; Knappe, Paul; Pitz, Max 2 2021 Large complete minors in random subgraphs. Zbl 1510.05262 Erde, Joshua; Kang, Mihyun; Krivelevich, Michael 1 2021 Enlarging vertex-flames in countable digraphs. Zbl 1473.05106 Erde, Joshua; Gollin, J. Pascal; Joó, Attila 1 2021 Hamilton decompositions of one-ended Cayley graphs. Zbl 1430.05049 Erde, Joshua; Lehner, Florian; Pitz, Max 4 2020 Directed path-decompositions. Zbl 1432.05079 Erde, Joshua 1 2020 Structural submodularity and tangles in abstract separation systems. Zbl 1417.05162 Diestel, Reinhard; Erde, Joshua; Weißauer, Daniel 4 2019 A short derivation of the structure theorem for graphs with excluded topological minors. Zbl 1419.05199 Erde, Joshua; Weißauer, Daniel 1 2019 A unified treatment of linked and lean tree-decompositions. Zbl 1384.05132 Erde, Joshua 6 2018 Isoperimetry in integer lattices. Zbl 1404.05074 Barber, Ben; Erde, Joshua 3 2018 Non-reconstructible locally finite graphs. Zbl 1397.05116 Bowler, Nathan; Erde, Joshua; Heinig, Peter; Lehner, Florian; Pitz, Max 2 2018 Duality theorems for blocks and tangles in graphs. Zbl 1366.05103 Diestel, Reinhard; Eberenz, Philipp; Erde, Joshua 10 2017 A counterexample to montgomery’s conjecture on dynamic colourings of regular graphs. Zbl 1367.05068 Bowler, N.; Erde, J.; Lehner, F.; Merker, M.; Pitz, M.; Stavropoulos, K. 6 2017 Refining a tree-decomposition which distinguishes tangles. Zbl 1366.05104 Erde, Joshua 2 2017 A counterexample to the reconstruction conjecture for locally finite trees. Zbl 1370.05153 Bowler, Nathan; Erde, Joshua; Heinig, Peter; Lehner, Florian; Pitz, Max 1 2017 An \(n\)-in-a-row game. Zbl 1335.91025 Erde, Joshua 1 2015 Decomposing the cube into paths. Zbl 1300.05250 Erde, Joshua 7 2014 A note on the combinatorial derivation of nonsmall sets. Zbl 1301.05364 Erde, Joshua 4 2014 The closed knight tour problem in higher dimensions. Zbl 1266.05078 Erde, Joshua; Golénia, Bruno; Golénia, Sylvain 5 2012 all cited Publications top 5 cited Publications all top 5 Cited by 111 Authors 13 Erde, Joshua 5 Elbracht, Christian 5 Pitz, Max F. 4 Diestel, Reinhard 4 Lehner, Florian 4 Teegen, Maximilian 3 Bowler, Nathan 3 Joó, Attila 3 Kneip, Jakob 3 Protasov, Igor Volodymyrovych 3 Thilikos, Dimitrios M. 2 Borse, Y. M. 2 Botler, Fábio 2 Bullington, Grady D. 2 Eroh, Linda L. 2 Giannopoulou, Archontia C. 2 Gollin, J. Pascal 2 Heuer, Karl 2 Kang, Mihyun 2 Krivelevich, Michael 2 Kwon, Ojoung 2 Lai, Hong-Jian 2 Liu, Hong 2 Raymond, Jean-Florent 2 Slobodianiuk, Sergii 2 Weißauer, Daniel 2 Winters, Steven J. 1 Abrishami, Tara 1 Alecu, Bogdan 1 Asayama, Yoshihiro 1 Axenovich, Maria A. 1 Banakh, Taras Onufrievich 1 Barber, Ben 1 Besa, Juan Jose 1 Bonamy, Marthe 1 Carmesin, Johannes 1 Chen, Ye 1 Chudnovsky, Maria 1 Costa, Simone A. 1 Dalai, Marco 1 Diskin, Sahar 1 Do, Tuan Anh 1 Dovetta, Simone 1 Fan, Suohai 1 Fernández, Irene Gil 1 Georgakopoulos, Agelos 1 Goddard, Wayne Dean 1 Gupta, Radhika 1 Hajebi, Sepehr 1 Haslegrave, John 1 Heinig, Peter 1 Henning, Michael Anthony 1 Hu, Jie 1 Jankó, Zsuzsanna 1 John O’Shea, Robert 1 Johns, Garry L. 1 Kamčev, Nina 1 Kandekar, S. A. 1 Kawasaki, Yuki 1 Keevash, Peter 1 Kim, Jaehoon 1 Kim, Seog-Jin 1 Kok, Johan 1 Levcovitz, Ivan 1 Li, Shu 1 Li, Yan 1 Lu, Lu 1 Luan, Bingyu 1 Mamano, Nil 1 Margolis, Alexander J. 1 Miraftab, Babak 1 Missethan, Michael 1 Mohanapriya, N. 1 Morrison, Natasha 1 Mota, Guilherme Oliveira 1 Nakamoto, Atsuhiro 1 Offner, David 1 Osegueda, Martha Carolina 1 Oshiro, Marcio T. I. 1 Oum, Sang-Il 1 Ozeki, Kenta 1 Pasotti, Anita 1 Ravsky, Alex 1 Roberts, Alexander 1 Roth, Sarah E. 1 Rühmann, Tim 1 Sau, Ignasi 1 Scott, Alexander D. 1 Shang, Yilun 1 Sonawane, A. V. 1 Song, Huimin 1 Spirkl, Sophie Theresa 1 Stamoulis, Giannos 1 Stark, Emily 1 Talon, Alexandre 1 Tentarelli, Lorenzo 1 Tompkins, Casey 1 Venkatachalam, Mathiyazhagan 1 Vivin, J. Vernold 1 Wakabayashi, Yoshiko ...and 11 more Authors all top 5 Cited in 34 Serials 9 Journal of Combinatorial Theory. Series B 6 Discrete Mathematics 4 SIAM Journal on Discrete Mathematics 4 The Electronic Journal of Combinatorics 3 Journal of Combinatorial Theory. Series A 3 Journal of Graph Theory 3 Discrete Mathematics, Algorithms and Applications 2 European Journal of Combinatorics 2 Order 1 Discrete Applied Mathematics 1 Israel Journal of Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Advances in Mathematics 1 The Annals of Probability 1 Applied Mathematics and Computation 1 Bulletin of the London Mathematical Society 1 Information Sciences 1 Proceedings of the American Mathematical Society 1 Proceedings of the Japan Academy. Series A 1 Theoretical Computer Science 1 Combinatorica 1 International Journal of Algebra and Computation 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Linear Algebra and its Applications 1 The Australasian Journal of Combinatorics 1 Combinatorics, Probability and Computing 1 Discussiones Mathematicae. Graph Theory 1 Central European Journal of Mathematics 1 São Paulo Journal of Mathematical Sciences 1 Arabian Journal of Mathematics 1 Carpathian Mathematical Publications 1 Journal of Discrete Mathematics 1 Combinatorial Theory all top 5 Cited in 21 Fields 56 Combinatorics (05-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 4 Group theory and generalizations (20-XX) 4 Probability theory and stochastic processes (60-XX) 3 Mathematical logic and foundations (03-XX) 3 Computer science (68-XX) 2 General and overarching topics; collections (00-XX) 2 Topological groups, Lie groups (22-XX) 2 Abstract harmonic analysis (43-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Partial differential equations (35-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematics education (97-XX) Citations by Year