activity
20172022
most cited-conjectures on the domination game and claw-free graphs

3 citations · 4 across the 4 of their papers we have counts for

collaborators

15 papers

math.CO2022

Domination and independence number of large -crossing-critical graphs

Vesna Iršič, Maruša Lekše, Mihael Pačnik +2

After -crossing-critical graphs were characterized in 2016, their most general subfamily, large -connected -crossing-critical graphs, has attracted separate attention. Thi…

math.CO20203 cited

-conjectures on the domination game and claw-free graphs

Csilla Bujtás, Vesna Iršič, Sandi Klavžar

Let be the game domination number of a graph . Rall conjectured that if is a traceable graph, then . Our main re…

math.CO2020

Total connected domination game

Csilla Bujtás, Michael A. Henning, Vesna Iršič +1

The (total) connected domination game on a graph is played by two players, Dominator and Staller, according to the standard (total) domination game with the additional requirem…

math.CO2020

The domination game played on diameter 2 graphs

Csilla Bujtás, Vesna Iršič, Sandi Klavžar +1

Let be the game domination number of a graph . It is proved that if , then $γ_g(G) \le \left\lceil \frac{n(G)}{2} \right\rceil- \left\lfloor \frac{n(…

math.CO20201 cited

On Rall's -conjecture on the domination game

Csilla Bujtás, Vesna Iršič, Sandi Klavžar +1

The -conjecture on the domination game asserts that if is a traceable graph, then the game domination number of is at most $\left\lceil \frac{n(G)}{2} \right\…

math.CO2019

Z-domination game

Csilla Bujtás, Vesna Iršič, Sandi Klavžar

The Z-domination game is a variant of the domination game in which each newly selected vertex in the game must have a not yet dominated neighbor, but after the move all vertice…