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Free, publicly-accessible full text available May 1, 2026
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Elzie, Deion; Fridhi, Samir; Mellor, Blake; Silva, Daniel; Wilson, Robin T. (, Symmetry)The topological symmetry group of an embedding Γ of an abstract graph γ in S3 is the group of automorphisms of γ that can be realized by homeomorphisms of the pair (S3,Γ). These groups are motivated by questions about the symmetries of molecules in space. The Petersen family of graphs is an important family of graphs for many problems in low-dimensional topology, so it is desirable to understand the possible groups of symmetries of their embeddings in space. In this paper, we find all the groups that can be realized as topological symmetry groups for each of the graphs in the Petersen family. Along the way, we also complete the classification of the realizable topological symmetry groups for K3,3.more » « less
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Arge, Charles; Henney, Carl; Jones, Shaela; Staeben, James; Leisner, Andrew; Uritsky, Vadim; Da Silva, Daniel; Schonfeld, Samuel (, The Third Triennial Earth-Sun Summit (TESS), held 8-11 August, 2022 in Bellevue/Seattle, WA. Bulletin of the AAS)
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de Oliveira, Francisco Fonseca; Gehara, Marcelo; Solé, Mirco; Lyra, Mariana; Haddad, Célio Fernando; Silva, Daniel Paiva; de Magalhães, Rafael Félix; Leite, Felipe Sá; Burbrink, Frank T. (, Molecular Phylogenetics and Evolution)null (Ed.)
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Gradient-based Hierarchical Clustering using Continuous Representations of Trees in Hyperbolic SpaceMonath, Nicholas; Zaheer, Manzil; Silva, Daniel; McCallum, Andrew; Ahmed, Amr (, International Conference on Knowledge Discovery and Data Mining (KDD))
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