Shamil Asgarli

activity

20172026

most citedVan Lint-MacWilliams' conjecture and maximum cliques in Cayley graphs over finite fields

15 citations · 54 across the 30 of their papers we have counts for

collaborators

Showing 2024Show all

4 papers · 1 filter

math.CO2024

Chromatic quasisymmetric functions of the path graph

Farid Aliniaeifard, Shamil Asgarli, Maria Esipova +3

We show that the chromatic quasisymmetric function (CQF) of a labeled path graph on $n$ vertices is not symmetric unless the labeling is the natural labeling $1, 2, ..., n$ or its…

math.AG2024

Linear system of geometrically irreducible plane cubics over finite fields

Shamil Asgarli, Dragos Ghioca

We examine the maximum dimension of a linear system of plane cubic curves whose $F_{q}$ -members are all geometrically irreducible. Computational evidence suggests that such…

math.AG2024

Mutual position of two smooth quadrics over finite fields

Shamil Asgarli, Chi Hoi Yip

Given two irreducible conics $C$ and $D$ over a finite field $F_{q}$ with $q$ odd, we show that there are $q^{2} /4 + O (q^{3/2})$ points $P$ in $P^{2} (F_{q})$ such…

math.CO2024

Counting subgraphs of coloring graphs

Shamil Asgarli, Sara Krehbiel, Howard W. Levinson +1

The chromatic polynomial $π_{G} (k)$ of a graph $G$ can be viewed as counting the number of vertices in a family of coloring graphs $C_{k} (G)$ associated with (proper) $k$ -co…