activity
20222025
most citedMaker-Breaker domination game on trees when Staller wins

2 citations · 7 across the 10 of their papers we have counts for

collaborators

10 papers

math.CO2025

On the variety of general position problems under vertex and edge removal

Jing Tian, Pakanun Dokyeesun, Sandi Klavžar

Let , , and be the total, the outer, and the dual general position number of a graph , respectively. This paper i…

math.CO2025

Visibility in graphs under edge and vertex removal

Pakanun Dokyeesun, Csilla Bujtás

For a connected graph and , we say that two vertices , are -visible if there is a shortest -path with . If eve…

math.CO2025

Criticality for Maker-Breaker domination games with predomination

Csilla Bujtás, Pakanun Dokyeesun, Sandi Klavžar +1

A predominated graph is a pair , where is a graph and the vertices in are considered already dominated. Maker-Breaker domination game critical (MBD cri…

math.CO2025

Thresholds for the biased Maker-Breaker domination games

Boštjan Brešar, Csilla Bujtás, Pakanun Dokyeesun +1

In the -biased Maker-Breaker domination game, two players alternately select unplayed vertices in a graph such that Dominator selects and Staller selects vertice…

math.CO2024★ 1 cited

General position problems in strong and lexicographic products of graphs

Pakanun Dokyeesun, Sandi Klavžar, Dorota Kuziak +1

Outer, dual, and total general position sets are studied on strong and lexicographic products of graphs. Sharp lower and upper bounds are proved for the outer and the dual general…

math.CO2024★ 1 cited

The general position number under vertex and edge removal

Pakanun Dokyeesun, Sandi Klavžar, Jing Tian

Let be the general position number of a graph . It is proved that holds for any vertex of a connected graph and that if $x…

math.CO2023★ 1 cited

Maker-Breaker domination game on Cartesian products of graphs

Pakanun Dokyeesun

The Maker-Breaker domination game is played on a graph by two players, called Dominator and Staller. They alternately select an unplayed vertex in . Dominator wins the game…

math.CO2022★ 2 cited

Maker-Breaker domination game on trees when Staller wins

Csilla Bujtás, Pakanun Dokyeesun, Sandi Klavžar

In the Maker-Breaker domination game played on a graph , Dominator's goal is to select a dominating set and Staller's goal is to claim a closed neighborhood of some vertex. We s…

math.CO2022★ 1 cited

Thresholds for the monochromatic clique transversal game

Csilla Bujtás, Pakanun Dokyeesun, Sandi Klavžar

We study a recently introduced two-person combinatorial game, the -monochromatic clique transversal game which is played by Alice and Bob on a graph . As we observe, this…

math.CO2022★ 1 cited

Fast winning strategies for Staller in the Maker-Breaker domination game

Csilla Bujtás, Pakanun Dokyeesun

The Maker-Breaker domination game is played on a graph by two players, called Dominator and Staller, who alternately choose a vertex that has not been played so far. Dominator…