From the 1 of 5 linked papers with an AI index.
5 papers
A Graph Minors Approach to Temporal Sequences
Johannes Carmesin, Will J. Turner
The paper develops a graph‑minor based structural theory for simultaneous embeddability of temporal graph sequences, classifying 2‑connected sequences into five obstruction types a…
Hardness of Planarity for Weak Temporal Sequences of 2-Connected Graphs
Johannes Carmesin, Will J. Turner
A weak deletion sequence is a sequence of graphs so that for each either is isomorphic to a subgraph of , or vice versa: is…
Characterising 4-tangles through a connectivity property
Johannes Carmesin, Jan Kurkofka
Every large -connected graph-minor induces a -tangle in its ambient graph. The converse holds for , but fails for . This raises the question whether `-conn…
How Local Separators Shape Community Structure in Large Networks
Sarah Frenkel, Johannes Carmesin
Community detection is a key tool for analyzing the structure of large networks. Standard methods, such as modularity optimization, focus on identifying densely connected groups bu…
Towards a Stallings-type theorem for finite groups
Johannes Carmesin, George Kontogeorgiou, Jan Kurkofka +1
A recent development in graph-minor theory is to study local separators, vertex-sets that separate graphs locally but not necessarily globally. The local separators of a graph roug…