21 citations
7 papers
Critical pairs in abelian groups and Kemperman's structure theorem
Vsevolod F. Lev
A well-known result by Kemperman describes the structure of those pairs (A,B) of finite subsets of an abelian group satisfying |A+B|\le|A|+|B|-1. We establish a description which i…
Packing 4-cycles in Eulerian and bipartite Eulerian tournaments with an application to distances in interchange graphs
Raphael Yuster
We prove that every Eulerian orientation of contains arc-disjoint directed 4-cycles, improving earlier lower bounds. Combined with a prob…
Conductance oscillations in strongly correlated fractional quantum Hall line junctions
U. Zuelicke, E. Shimshoni
We present a detailed theory of transport through line junctions formed by counterpropagating single-branch fractional-quantum-Hall edge channels having different filling factors.…
The number of edge disjoint transitive triples in a tournament
Raphael Yuster
We prove that a tournament with vertices has more than edge-disjoint transitive triples. We also prove some results on the existence of large packings of -…
Stellar structure and mass loss during the early post asymptotic giant branch
Noam Soker, Amos Harpaz
Late asymptotic giant branch (AGB) and early post-AGB stars which are progenitors of planetary nebulae lose mass at extremely high rate, in what is termed a superwind. We show that…
Tiling transitive tournaments and their blow-ups
Raphael Yuster
Let denote the transitive tournament on vertices. Let denote the graph obtained from by replacing each vertex with an independent set of size …