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- Technion – Israel Institute of TechnologyIL151 papers
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6 papers · 2 filters
Orders induced by segments in floorplan partitions and (2-14-3,3-41-2)-avoiding permutations
Andrei Asinowski, Gill Barequet, Mireille Bousquet-Mélou +2
A floorplan is a tiling of a rectangle by rectangles. There are natural ways to order the elements---rectangles and segments---of a floorplan. Ackerman, Barequet and Pinter studied…
A Greedy Partition Lemma for Directed Domination
Yair Caro, Michael A. Henning
A directed dominating set in a directed graph is a set of vertices of such that every vertex has an adjacent vertex in with directe…
Directed Domination in Oriented Graphs
Yair Caro, Michael A. Henning
A directed dominating set in a directed graph is a set of vertices of such that every vertex has an adjacent vertex in with directe…
Dense graphs with a large triangle cover have a large triangle packing
Raphael Yuster
It is well known that a graph with edges can be made triangle-free by removing (slightly less than) edges. On the other hand, there are many classes of graphs which are h…
On the size of dissociated bases
Vsevolod F. Lev, Raphael Yuster
We prove that the sizes of the maximal dissociated subsets of a given finite subset of an abelian group differ by a logarithmic factor at most. On the other hand, we show that the…
The Quasi-Randomness of Hypergraph Cut Properties
Asaf Shapira, Raphael Yuster
Let a_1,...,a_k satisfy a_1+...+a_k=1 and suppose a k-uniform hypergraph on n vertices satisfies the following property; in any partition of its vertices into k sets A_1,...,A_k of…