30 citations · 56 across the 10 of their papers we have counts for
11 papers
Asymptotic Positivity of Hurwitz Product Traces: Two Proofs
Christian Fleischhack, Shmuel Friedland
Consider the polynomial in for positive hermitian matrices and with . The Bessis-Moussa-Villani conjecture (in the equivalent form of Lieb and…
On the First Eigenvalue of Bipartite Graphs
Amitava Bhattacharya, Shmuel Friedland, Uri N. Peled
In this paper we study the maximum value of the largest eigenvalue for simple bipartite graphs, where the number of edges is given and the number of vertices on each side of the bi…
Remarks on BMV conjecture
Shmuel Friedland
We show that for fixed , hermitian nonnegative definite matrices, and fixed the coefficients of the in the polynomial $\tr (A+tB)^m$ is positive if $\tr AB >0$ and $…
An upper bound for the number of perfect matchings in graphs
Shmuel Friedland
We give an upper bound on the number of perfect matchings in an undirected simple graph with an even number of vertices, in terms of the degrees of all the vertices in . Thi…
The maximum number of perfect matchings in graphs with a given degree sequence
Noga Alon, Shmuel Friedland
We show that the number of perfect matching in a simple graph with an even number of vertices and degree sequence is at most $\prod_{i=1}^n (d_i !)^{\frac{1…
On the Number of Matchings in Regular Graphs
S. Friedland, E. Krop, K. Markström
For the set of graphs with a given degree sequence, consisting of any number of and , and its subset of bipartite graphs, we characterize the optimal graphs who maximize…