Finding conserved low‐diameter subgraphs in social and biological networks

H Pan, Y Lu, B Balasundaram, JS Borrero - Networks, 2024 - Wiley Online Library
The analysis of social and biological networks often involves modeling clusters of interest as
cliques or their graph‐theoretic generalizations. The kk‐club model, which relaxes the …

[HTML][HTML] Optimal embeddings of the exchanged hypercube and the dual-cube as vertex-induced subgraphs of the hypercube

PK Jha - Discrete Applied Mathematics, 2023 - Elsevier
An exchanged hypercube is a spanning subgraph of a hypercube. It retains a large number
of desirable properties of the hypercube, yet maintains a reduced interconnection …

-fault-tolerant graphs for disjoint complete graphs of order

S Cichacz, A Görlich, K Suchan - arXiv preprint arXiv:2212.06892, 2022 - arxiv.org
Vertex-fault-tolerance was introduced by Hayes~\cite {Hayes1976} in 1976, and since then it
has been systematically studied in different aspects. In this paper we study $ k $-vertex-fault …

[PDF][PDF] Combinatorial Clustering Engineering in Communications: Preliminary Survey. Preprint. November 6, 2024

MS Levin - 2024 - researchgate.net
The article addresses applications of combinatorial clustering engineering approach in
communication networks including design of layered network architecture, routing …

[PDF][PDF] Combinatorial Clustering Engineering in Communications: Preliminary Survey.

MS Levin - 2024 - iitp.ru
The article addresses applications of combinatorial clustering engineering approach in
communication networks including design of layered network architecture, routing …

Efficient branch-and-bound algorithms for finding triangle-constrained 2-clubs

N Grüttemeier, PH Keßler, C Komusiewicz… - Journal of Combinatorial …, 2024 - Springer
Abstract In the Vertex Triangle 2-Club problem, we are given an undirected graph G and aim
to find a maximum-vertex subgraph of G that has diameter at most 2 and in which every …

[PDF][PDF] Partitioning a graph into low-diameter clusters

J Zhang, L Silveira, H Validi, L Smith, A Buchanan… - optimization-online.org
This paper studies the problems of partitioning the vertices of a graph G=(V, E) into (or
covering with) a minimum number of low-diameter clusters from the lenses of approximation …