7 citations · 14 across the 15 of their papers we have counts for
4 papers · 1 filter
Rigidity of complements of bounded-degree graphs
John Haslegrave, Peleg Michaeli, Anthony Nixon
Maxwell observed that the graph of any rigid generic framework in on vertices has at least edges. In this article we prove that graphs whose…
Rigidity of expanders and pseudorandom graphs
Michael Krivelevich, Alan Lew, Peleg Michaeli
A graph is called -rigid if, for a generic embedding of its vertices in , the only continuous motions of the vertices preserving the distances between al…
A very robust Ramsey theorem for matchings
Peter Keevash, Peleg Michaeli
Our main result is a robust generalisation of the Cockayne-Lorimer theorem on the multicolour Ramsey number of matchings. It is moreover a generalisation of the transference genera…
Combinatorial sufficient conditions for graph rigidity and applications to random graphs
Michael Krivelevich, Alan Lew, Peleg Michaeli
A graph is called -rigid if, for a generic embedding of its vertices in , every edge-length preserving continuous motion of the vertices preserves the di…