The <i>Drosophila</i> tracheal terminal cell as a model for branching morphogenesis. [PDF]
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Topological data analysis and topological deep learning beyond persistent homology: a review. [PDF]
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Graph Adaptive Attention Network with Cross-Entropy. [PDF]
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When is the cayley graph of a semigroup isomorphic to the cayley graph of a group
Abstract It is well known that Cayley graphs of groups are automatically vertex-transitive. A pioneer result of Kelarev and Praeger implies that Cayley graphs of semigroups can be regarded as a source of possibly new vertex-transitive graphs.
Shoufeng Wang
exaly +3 more sources
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Cayley Graph Automatic Groups Are Not Necessarily Cayley Graph Biautomatic
Lecture Notes in Computer Science, 2012We show that there are Cayley graph automatic groups that are not Cayley graph biautomatic. In addition, we show that there are Cayley graph automatic groups with undecidable Conjugacy Problem and that the Isomorphism Problem is undecidable in the class of Cayley graph automatic groups.
Zoran Sunić, Alexei Miasnikov
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Embedding graphs in Cayley graphs
Graphs and Combinatorics, 1987Over ten years ago Babai showed that for any graph Y and for any sufficiently large group G, there is a Cayley graph X of G such that Y is an induced subgraph of X. The bounds given by him for \(| G|\) have been recently reduced by Babai and Sós to approximately \(9.5| Y|^ 3\).
Chris D. Godsil, Wilfried Imrich
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