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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…