activity
20242026
most citedInduced matching vs edge open packing: trees and product graphs

1 citations · 1 across the 5 of their papers we have counts for

collaborators

7 papers

math.CO2026

Frugal coloring of graphs revisited

Boštjan Brešar, Wenjie Hu, Babak Samadi

Given a graph and a positive integer , an independent set is -frugal if every vertex has at most neighbors in . A -frugal coloring of is a…

math.CO2025

Distance mutual-visibility coloring: relations with (total) domination, exact distance graphs and graph products

Saneesh Babu, Boštjan Brešar, Aparna Lakshmanan S +1

The concept of mutual-visibility (MV) has been extended in several directions. A vertex subset of a graph is a -distance mutual-visibility (DMV) set if for any two ve…

math.CO2025

On -coalition in graphs: bounds and exact values

Boštjan Brešar, Michael A. Henning, Babak Samadi

Given a graph $G=\big{(}V(G),E(G)\big{)}$, a set is called a -dominating set if every vertex in has at least neighbors in . Two disjoi…

math.CO2025

Independent mutual-visibility coloring and related concepts

Boštjan Brešar, Iztok Peterin, Babak Samadi +1

Given a graph , a subset is a mutual-visibility (MV) set if for every , there exists a -geodesic whose internal vertices are not in . We inve…

math.CO2025

Total -coalition: bounds, exact values and an application to double coalition

Boštjan Brešar, Sandi Klavžar, Babak Samadi

Let $G=\big{(}V(G),E(G)\big{)}$ be a graph with minimum degree . A subset is called a total -dominating set if every vertex in has at least neighbor…

math.CO2024★ 1 cited

Induced matching vs edge open packing: trees and product graphs

Bostjan Bresar, Tanja Dravec, Jaka Hedzet +1

Given a graph , the maximum size of an induced subgraph of each component of which is a star is called the edge open packing number, , of . Similarly, the m…

math.CO2024

Edge open packing: complexity, algorithmic aspects, and bounds

Boštjan Brešar, Babak Samadi

Given a graph , two edges are said to have a common edge if joins an endvertex of to an endvertex of . A subset is…