3 papers
math.CO2023
Khayyam-Pascal Determinantal Arrays, Star of David Rule and Log-Concavity
Hossein Teimoori Faal, Hasan Khodakarami
In this paper we develop a new geometric method to answer the log-concavity questions related to a nice class of combinatorial sequences arising from the Pascal triangle.
math.CO2021
Sums of Polynomials and Clique Roots
Hossein Teimoori Faal
In this paper, pursuing the same line of ideas in the proof of an old longstanding open conjecture of \emph{Kadison-Singer} , we introduce a key lemma which we call it the interlac…
math.CO2021
On Clique Roots of Flat Graphs
Hossein Teimoori Faal
A complete subgraph of a given graph is called a clique. A clique Polynomial of a graph is a generating function of the number of cliques in . A real root of the clique polynomi…