5 papers
Independent mutual-visibility sets and distance edge-critical graphs
Jing Tian, Csilla Bujtás, Sandi Klavžar
In this paper, connections between independent sets and the variety of mutual-visibility sets are studied. It is proved that every outer mutual-visibility set of a graph is indepen…
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…
General position sets, colinear sets, and SierpiÅski product graphs
Sandi Klavžar, Jing Tian
Let denote the SierpiÅski product of graphs and with respect to the function . The SierpiÅski general position number is int…
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…
Builder-Blocker General Position Games
Sandi Klavžar, Jing Tian, James Tuite
This paper considers a game version of the general position problem in which a general position set is built through adversarial play. Two players in a graph, Builder and Blocker,…