Saeed Shaebani

activity

20092026

most citedOn Fall Colorings of Graphs

8 citations · 11 across the 14 of their papers we have counts for

collaborators

16 papers

math.CO2026

On The Number of Irreducible FAT Colorings

Saeed Shaebani

A vertex coloring of a graph $G$ with nonempty color classes $V_{1}, V_{2}, \dots, V_{k}$ is called a \emph{FAT $k$ -coloring} if there exist real numbers $α, β \in [0, 1]$ such that for every v…

math.CO2025

Concerning FAT Colorings of Graphs

Saeed Shaebani

Let $G$ be a graph and let $C$ be a color set of cardinality $k$ . Suppose $c : V (G) \to C$ is a (not necessarily proper) vertex coloring whose all color classes are $V_{1}$ , $V_…

math.CO2025

On Fair and Tolerant Colorings of Graphs

Saeed Shaebani

A (not necessarily proper) vertex coloring of a graph $G$ with color classes $V_{1}$ , $V_{2}$ , $\dots$ , $V_{k}$ , is said to be a {\it Fair And Tolerant vertex coloring of $G$ with $k$ co…

math.CO2023

The Matching Kneser Graph Conjecture For High Chromatic Numbers

Saeed Shaebani

\noindent In this paper, we show that for any positive integers $r$ , $k$ , $Θ$ , and $Γ$ such that $k \geq 2$ and $r \geq k + Γ$ , there exists a connected graph $G$ for which $$\begi…

math.CO2022

Regarding Equitable Colorability Defect of Hypergraphs

Saeed Shaebani

\noindent Azarpendar and Jafari in 2020 proved the following inequality $$χ\left( {\rm KG} ^r ({\cal F} , s) \right) \geq \left\lceil \frac{ {\rm ecd}^r \left( {\cal F} , \left\lfl…

math.CO2022

Concerning Two Conjectures of Frick and Jafari

Saeed Shaebani

In 2022, Hamid Reza Daneshpajouh provided some counterexamples to the following conjecture of Florian Frick. \bf Conjecture. Let $r \geq 3$ . Then, every hypergraph $G$ over…