5 citations · 14 across the 9 of their papers we have counts for
11 papers
Weak Separation, Pure Domains and Cluster Distance
Miriam Farber, Pavel Galashin
Following the proof of the purity conjecture for weakly separated collections, recent years have revealed a variety of wider examples of purity in different settings. In this paper…
Noncrossing partitions, toggles, and homomesies
David Einstein, Miriam Farber, Emily Gunawan +4
We introduce natural involutions ("toggles") on the set of noncrossing partitions of size , along with certain composite operations obtained by composing thes…
Arrangements Of Minors In The Positive Grassmannian And a Triangulation of The Hypersimplex
Miriam Farber, Yelena Mandelshtam
The structure of zero and nonzero minors in the Grassmannian leads to rich combinatorics of matroids. In this paper, we investigate an even richer structure of possible equalities…
Arrangements of equal minors in the positive Grassmannian
Miriam Farber, Alexander Postnikov
We discuss arrangements of equal minors of totally positive matrices. More precisely, we investigate the structure of equalities and inequalities between the minors. We show that a…
Conjectured bounds for the sum of squares of positive eigenvalues of a graph
Clive Elphick, Felix Goldberg, Miriam Farber +1
A well known upper bound for the spectral radius of a graph, due to Hong, is that . It is conjectured that for connected graphs …
Interlacing networks: birational RSK, the octahedron recurrence, and Schur function identities
Miriam Farber, Sam Hopkins, Wuttisak Trongsiriwat
Motivated by the problem of giving a bijective proof of the fact that the birational RSK correspondence satisfies the octahedron recurrence, we define interlacing networks, which a…