activity
20232026
most citedGeneral position sets, colinear sets, and Sierpiński product graphs

2 citations · 4 across the 7 of their papers we have counts for

collaborators

7 papers

math.CO2026

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…

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.CO2024★ 2 cited

General position sets, colinear sets, and Sierpiński product graphs

Sandi Klavžar, Jing Tian

Let denote the Sierpiński product of graphs and with respect to the function . The Sierpiński general position number is intro…

math.CO2024

Variety of general position problems in graphs

Jing Tian, Sandi Klavžar

Let be a vertex subset of a graph . Then are -positionable if holds for any shortest -path . If each two vertices fr…

math.CO2023

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,…

math.CO2023

Extremal edge general position sets in some graphs

Jing Tian, Sandi Klavžar, Elif Tan

A set of edges of a graph is an edge general position set if no three edges from lie on a common shortest path. The edge general position number ${\rm gp}…