On fault-tolerant low-diameter clusters in graphs

Y Lu, H Salemi, B Balasundaram… - INFORMS Journal on …, 2022 - pubsonline.informs.org
Cliques and their generalizations are frequently used to model “tightly knit” clusters in
graphs and identifying such clusters is a popular technique used in graph-based data …

[HTML][HTML] On inclusionwise maximal and maximum cardinality k-clubs in graphs

FM Pajouh, B Balasundaram - Discrete Optimization, 2012 - Elsevier
A k-club is a distance-based graph-theoretic generalization of a clique, originally introduced
to model cohesive social subgroups in social network analysis. The k-clubs represent low …

Finding a maximum k-club using the k-clique formulation and canonical hypercube cuts

E Moradi, B Balasundaram - Optimization Letters, 2018 - Springer
Detecting low-diameter clusters is an important graph-based data mining technique used in
social network analysis, bioinformatics and text-mining. Low pairwise distances within a …

[图书][B] Polyhedral combinatorics, complexity & algorithms for k-clubs in graphs

FM Pajouh - 2012 - search.proquest.com
A k-club is a distance-based graph-theoretic generalization of clique, originally introduced to
model cohesive subgroups in social network analysis. The k-clubs represent low diameter …

Exact algorithms for finding well-connected 2-clubs in sparse real-world graphs: Theory and experiments

C Komusiewicz, A Nichterlein, R Niedermeier… - European Journal of …, 2019 - Elsevier
Finding large “cliquish” subgraphs is a central topic in graph mining and community
detection. A popular clique relaxation are 2-clubs: instead of asking for subgraphs of …

On Solving the Maximum -club Problem

A Wotzlaw - arXiv preprint arXiv:1403.5111, 2014 - arxiv.org
Given a simple undirected graph $ G $, the maximum $ k $-club problem is to find a
maximum-cardinality subset of nodes inducing a subgraph of diameter at most $ k $ in $ G …

A two-stage stochastic optimization approach for detecting structurally stable clusters in randomly changing graphs

M Rysz, S Mehta - IEEE Transactions on Network Science and …, 2018 - ieeexplore.ieee.org
We introduce a stochastic extension for the problem of finding nonhereditary subgraphs of
maximum size in randomly changing graphs. The proposed formulation utilizes a two-stage …

Parsimonious formulations for low-diameter clusters

H Salemi, A Buchanan - Mathematical Programming Computation, 2020 - Springer
In the analysis of networks, one often searches for tightly knit clusters. One property of a
“good” cluster is a small diameter (say, bounded by k), which leads to the concept of ak-club …

Exact algorithms for s-club finding and related problems

A Schäfer - 2009 - pure.mpg.de
The Clique problem is one of the best-studied problems in computer science. However,
there exist only few studies concerning the important Clique generalization, called the s …

Algorithms for the maximum k-club problem in graphs

S Shahinpour, S Butenko - Journal of Combinatorial Optimization, 2013 - Springer
Given a simple undirected graph G, ak-club is a subset of vertices inducing a subgraph of
diameter at most k. The maximum k-club problem (M k CP) is to find ak-club of maximum …