An overview of graph covering and partitioning

S Schwartz - Discrete Mathematics, 2022 - Elsevier
While graph covering is a fundamental and well-studied problem, this field lacks a broad
and unified literature review. The holistic overview of graph covering given in this article …

Exact and heuristic multi-robot dubins coverage path planning for known environments

L Li, D Shi, S Jin, S Yang, C Zhou, Y Lian, H Liu - Sensors, 2023 - mdpi.com
Coverage path planning (CPP) of multiple Dubins robots has been extensively applied in
aerial monitoring, marine exploration, and search and rescue. Existing multi-robot coverage …

Partitioning a graph into balanced connected classes: Formulations, separation and experiments

FK Miyazawa, PFS Moura, MJ Ota… - European Journal of …, 2021 - Elsevier
This work addresses the balanced connected k-partition problem (BCP k), which is formally
defined as follows. Given a connected graph G=(V, E) with nonnegative weights on the …

Balanced connected task allocations for multi-robot systems: An exact flow-based integer program and an approximate tree-based genetic algorithm

X Zhou, H Wang, B Ding, T Hu, S Shang - Expert Systems with Applications, 2019 - Elsevier
Task allocation for a multi-robot system is often imposed with various constraints to promote
efficiency and avoid unwanted consequences. This study focuses on the min-max balanced …

Complete coverage problem of multiple robots with different velocities

L Li, D Shi, S Jin, Y Kang, C Xue… - International …, 2022 - journals.sagepub.com
Complete coverage, which is integral to many robotic applications, aims to cover an area as
quickly as possible. In such tasks, employing multiple robots can reduce the overall …

Cut and Flow Formulations for the Balanced Connected k-Partition Problem

FK Miyazawa, PFS Moura, MJ Ota… - International Symposium …, 2020 - Springer
For a fixed integer k ≥ 2, the balanced connected k-partition problem (BCP _k) consists in
partitioning a graph into k mutually vertex-disjoint connected subgraphs of similar weight …

Approximation and parameterized algorithms for balanced connected partition problems

PFS Moura, MJ Ota, Y Wakabayashi - Conference on Algorithms and …, 2022 - Springer
For a given integer k≥ 2, partitioning a connected graph into k vertex-disjoint connected
subgraphs of similar (or fixed) orders is a classical problem that has been intensively …

Connected graph partitioning with aggregated and non‐aggregated gap objective functions

E Fernández, I Lari, J Puerto, F Ricca, A Scozzari - Networks, 2023 - Wiley Online Library
This article deals with the problem of partitioning a graph into pp connected components by
optimizing some balancing objective functions related to the vertex weights. Objective …

A MILP model for the connected multidimensional maximum bisection problem

ZL Maksimović - Journal of Combinatorial Optimization, 2024 - Springer
Abstract The Maximum Bisection Problem (MBP) is a well-known combinatorial optimization
problem that has been proven to be NP-hard. The maximum bisection of a graph is the …

Partitioning weighted metabolic networks into maximally balanced connected partitions

D Matić, M Grbić - 2020 19th International Symposium …, 2020 - ieeexplore.ieee.org
Partitioning biological network into smaller components can help in retrieving new
information of a particular biological structure. In this research we investigate the problem of …