K-core decomposition of large networks on a single PC

W Khaouid, M Barsky, V Srinivasan… - Proceedings of the VLDB …, 2015 - dl.acm.org
Studying the topology of a network is critical to inferring underlying dynamics such as
tolerance to failure, group behavior and spreading patterns. k-core decomposition is a well …

Critical nodes for distance‐based connectivity and related problems in graphs

A Veremyev, OA Prokopyev, EL Pasiliao - Networks, 2015 - Wiley Online Library
This study considers a class of critical node detection problems that involves minimization of
a distance‐based connectivity measure of a given unweighted graph via the removal of a …

Efficient maximum k-plex computation over large sparse graphs

L Chang, M Xu, D Strash - Proceedings of the VLDB Endowment, 2022 - dl.acm.org
The k-plex model is a relaxation of the clique model by allowing every vertex to miss up to k
neighbors. Designing exact and efficient algorithms for computing a maximum k-plex in a …

Improving maximum k-plex solver via second-order reduction and graph color bounding

Y Zhou, S Hu, M **ao, ZH Fu - Proceedings of the AAAI Conference on …, 2021 - ojs.aaai.org
In a graph, a k-plex is a vertex set in which every vertex is not adjacent to at most k vertices
of this set. The maximum k-plex problem, which asks for the largest k-plex from the given …

Efficient maximal balanced clique enumeration in signed networks

Z Chen, L Yuan, X Lin, L Qin, J Yang - Proceedings of The Web …, 2020 - dl.acm.org
Clique is one of the most fundamental models for cohesive subgraph mining in network
analysis. Existing clique model mainly focuses on unsigned networks. In real world …

Efficient enumeration of maximal k-plexes

D Berlowitz, S Cohen, B Kimelfeld - Proceedings of the 2015 ACM …, 2015 - dl.acm.org
The problem of enumerating (ie, generating) all maximal cliques in a graph has received
extensive treatment, due to the plethora of applications in various areas such as data …

Distance-Based Clique Relaxations in Networks: s-Clique and s-Club

S Shahinpour, S Butenko - … for Network Analysis: Proceedings of the …, 2013 - Springer
The concept of the clique, originally introduced as a model of a cohesive subgroup in the
context of social network analysis, is a classical model of a cluster in networks. However, the …

Enumerating Maximal k-Plexes with Worst-Case Time Guarantee

Y Zhou, J Xu, Z Guo, M **ao, Y ** - … of the AAAI conference on Artificial …, 2020 - ojs.aaai.org
The problem of enumerating all maximal cliques in a graph is a key primitive in a variety of
real-world applications such as community detection and so on. However, in practice …

[PDF][PDF] Fast Maximum -Plex Algorithms Parameterized by Small Degeneracy Gaps

Z Wang, Y Zhou, C Luo, M **ao… - arxiv preprint arxiv …, 2023 - researchgate.net
Given a graph, the k-plex is a vertex set in which each vertex is not adjacent to at most k− 1
other vertices in the set. The maximum k-plex problem, which asks for the largest k-plex from …

[PDF][PDF] Uncovering the Largest Community in Social Networks at Scale.

S Matsugu, Y Fujiwara, H Shiokawa - IJCAI, 2023 - ijcai.org
Abstract The Maximum k-Plex Search (MPS) can find the largest k-plex, which is a
generalization of the largest clique. Although MPS is commonly used in AI to effectively …