3 papers
math.CO2025
Bounds on the game isolation number and exact values for paths and cycles
Csilla Bujtás, Tanja Dravec, Michael A. Henning +1
The isolation game is played on a graph by two players who take turns playing a vertex such that if is the set of already played vertices, then a vertex can be selected onl…
math.CO2025
The radius capture number
Tanja Dravec, Vesna Iršič Chenoweth, Andrej Taranenko
In the classic cop and robber game, two players--the cop and the robber--take turns moving to a neighboring vertex or staying at their current position. The cop aims to capture the…
math.CO2020
Daisy Hamming graphs
Tanja Gologranc, Andrej Taranenko
Daisy graphs of a rooted graph with the root were recently introduced as a generalization of daisy cubes, a class of isometric subgraphs of hypercubes. In this paper we fir…