activity
20072023
most citedPolyhedral studies of vertex coloring problems: The asymmetric representatives formulation

3 citations · 6 across the 10 of their papers we have counts for

collaborators

15 papers

math.CO2023

New Menger-like dualities in digraphs and applications to half-integral linkages

Victor Campos, Jonas Costa, Raul Lopes +1

We present new min-max relations in digraphs between the number of paths satisfying certain conditions and the order of the corresponding cuts. We define these objects in order to…

cs.DS2021

Parameterized complexity of computing maximum minimal blocking and hitting sets

Júlio Araújo, Marin Bougeret, Victor A. Campos +1

A blocking set in a graph is a subset of vertices that intersects every maximum independent set of . Let be the size of a maximum (inclusion-wise) minimal bl…

cs.DS2021

Introducing lop-kernels: a framework for kernelization lower bounds

Júlio Araújo, Marin Bougeret, Victor A. Campos +1

In the Maximum Minimal Vertex Cover (MMVC) problem, we are given a graph and a positive integer , and the objective is to decide whether contains a minimal vertex cover…

math.CO2020

Cycle convexity and the tunnel number of links

Júlio Araújo, Victor Campos, Darlan Girão +3

In this work, we introduce a new graph convexity, that we call Cycle Convexity, motivated by related notions in Knot Theory. For a graph , define the interval function in…

cs.DS2020

Adapting the Directed Grid Theorem into an FPT Algorithm

Victor Campos, Raul Lopes, Ana Karolinna Maia +1

The Grid Theorem of Robertson and Seymour [JCTB, 1986], is one of the most important tools in the field of structural graph theory, finding numerous applications in the design of a…

math.CO2020

Coloring Problems on Bipartite Graphs of Small Diameter

Victor A. Campos, Guilherme C. M. Gomes, Allen Ibiapina +3

We investigate a number of coloring problems restricted to bipartite graphs with bounded diameter. First, we investigate the -List Coloring, List -Coloring, and -Precolori…