activity
20152020
most citedEdge metric dimension of some generalized Petersen graphs

33 citations · 54 across the 6 of their papers we have counts for

collaborators

6 papers

math.CO2020★ 2 cited

Some new general lower bounds for mixed metric dimension of graphs

Milica Milivojević Danas, Jozef Kratica, Aleksandar Savić +1

Let be a connected simple graph. The distance between vertices and from is the number of edges in the shortest path. If is an edge…

math.OC2019★ 4 cited

An Integer Linear Programming Formulation for the Convex Dominating Set Problems

Jozef Kratica, Vladimir Filipovic, Dragan Matic +1

Due to their importance in practice, dominating set problems in graphs have been greatly studied in past and different formulations of these problems are presented in literature. T…

math.CO2018★ 33 cited

Edge metric dimension of some generalized Petersen graphs

Vladimir Filipovic. Aleksandar Kartelj, Jozef Kratica

The edge metric dimension problem was recently introduced, which initiated the study of its mathematical properties. The theoretical properties of the edge metric representations a…

math.CO2018

Some properties of -packing function problem in graphs

Jozef J. Kratica, Aleksandar Lj. Savić, Zoran Lj. Maksimović

The recently introduced -packing function problem is considered in this paper. Special relation between a case when , and linear programming relaxation is intr…

math.CO2015★ 6 cited

The strong metric dimension of some generalized Petersen graphs

Jozef Kratica, Vera Kovačević-Vujčić, Mirjana Čangalović

In this paper the strong metric dimension of generalized Petersen graphs is considered. The exact value is determined for cases and , while for an…

cs.DS2015★ 9 cited

Variable Neighborhood Search for solving Bandwidth Coloring Problem

Dragan Matic, Jozef Kratica, Vladimir Filipovic

This paper presents a variable neighborhood search (VNS) algorithm for solving bandwidth coloring problem (BCP) and bandwidth multicoloring problem (BMCP). BCP and BMCP are general…