H. T. Faal

collaborators

3 papers

math.CO2026

A Bivariate $B$ -Restricted Clique Polynomial: From Local Neighborhoods to Global Expansion

Hossein Teimoori Faal

Let $G$ be a finite simple graph and $B \subseteq V (G)$ . We introduce the \emph{bivariate $B$ -restricted clique polynomial} \[ C_B(G;x,y) = \sum_{\substack{K \subseteq V \\ K \text…

math.CO2026

A $B$ -Restricted Clique Polynomial and Connections to Tanner's Inequality

Hossein Teimoori Faal

Let $G$ be a finite simple graph and $B \subseteq V (G)$ . We study the \emph{ $B$ -restricted clique polynomial} $C_{B} (G; x)$ , including its weighted version allowing vertex multiplicit…

math.CO2026

A Factorization of the Log-Concavity Operator for Pascal Determinantal Arrays and Their Infinite Row-Wise Log-Concavity

Hossein Teimoori Faal, Hasan Khodakarami

We study the Pascal determinantal arrays $\PD_k$, whose entries $\PD_k(i,j)$ are the $k \times k$ minors of the lower-triangular Pascal matrix $P = ((b a))_{a, b \geq 0}$ . We pr…

A Bivariate B-Restricted Clique Polynomial: From Local Neighborhoods to Global Expansion

A B-Restricted Clique Polynomial and Connections to Tanner's Inequality

A Factorization of the Log-Concavity Operator for Pascal Determinantal Arrays and Their Infinite Row-Wise Log-Concavity

A Bivariate $B$ -Restricted Clique Polynomial: From Local Neighborhoods to Global Expansion

A $B$ -Restricted Clique Polynomial and Connections to Tanner's Inequality