A survey on the densest subgraph problem and its variants

T Lanciano, A Miyauchi, A Fazzone, F Bonchi - ACM Computing Surveys, 2024 - dl.acm.org
The Densest Subgraph Problem requires us to find, in a given graph, a subset of vertices
whose induced subgraph maximizes a measure of density. The problem has received a …

A method for urban air mobility network design using hub location and subgraph isomorphism

LC Willey, JL Salmon - Transportation Research Part C: Emerging …, 2021 - Elsevier
Rising concerns related to the effects of traffic congestion have led to the proposal of many
alternative solutions, including the idea of Urban Air Mobility (UAM), which uses electric …

Discovering graph functional dependencies

W Fan, C Hu, X Liu, P Lu - ACM Transactions on Database Systems …, 2020 - dl.acm.org
This article studies discovery of Graph Functional Dependencies (GFDs), a class of
functional dependencies defined on graphs. We investigate the fixed-parameter tractability …

All along the h-index-related literature: a guided tour

A Schubert, G Schubert - Springer handbook of science and technology …, 2019 - Springer
In this chapter, a survey of the literature related to the h-index (referred to as h-related
literature) between 2005 and 2016 is presented. In the first section, the basic definitions and …

[HTML][HTML] Multivariate algorithmics for finding cohesive subnetworks

C Komusiewicz - Algorithms, 2016 - mdpi.com
Community detection is an important task in the analysis of biological, social or technical
networks. We survey different models of cohesive graphs, commonly referred to as clique …

Covering many (or few) edges with k vertices in sparse graphs

T Koana, C Komusiewicz, A Nichterlein… - arxiv preprint arxiv …, 2022 - arxiv.org
We study the following two fixed-cardinality optimization problems (a maximization and a
minimization variant). For a fixed $\alpha $ between zero and one we are given a graph and …

Exploiting -Closure in Kernelization Algorithms for Graph Problems

T Koana, C Komusiewicz, F Sommer - SIAM Journal on Discrete Mathematics, 2022 - SIAM
A graph is c-closed if every pair of vertices with at least c common neighbors is adjacent.
The c-closure of a graph G is the smallest number c such that G is c-closed. Fox et al. SIAM …

Enumerating connected induced subgraphs: Improved delay and experimental comparison

C Komusiewicz, F Sommer - Discrete Applied Mathematics, 2021 - Elsevier
We consider the problem of enumerating all connected induced subgraphs of order k in an
undirected graph G=(V, E). Our main results are two enumeration algorithms with a delay of …

Computing dense and sparse subgraphs of weakly closed graphs

T Koana, C Komusiewicz, F Sommer - Algorithmica, 2023 - Springer
A graph G is weakly γ-closed if every induced subgraph of G contains one vertex v such that
for each non-neighbor u of v it holds that| N (u)∩ N (v)|< γ. The weak closure γ (G) of a …

[HTML][HTML] An algorithmic framework for fixed-cardinality optimization in sparse graphs applied to dense subgraph problems

C Komusiewicz, M Sorge - Discrete Applied Mathematics, 2015 - Elsevier
We investigate the computational complexity of the Densest k-Subgraph problem, where the
input is an undirected graph G=(V, E) and one wants to find a subgraph on exactly k vertices …