Tag: graphs
Self-Stabilization and Byzantine Tolerance for Maximal Independent Set
summary: We analyze the impact of transient and Byzantine faults on the construction of a maximal independent set in a general network. We adapt the self-stabilizing algorithm presented by Turau for computing such a vertex set. Our algorithm is self-stabilizing, and also works under the more difficult context of arbitrary ...
A counting argument for graph colouring
summary: In 2010, Moser and Tardos introduced an algorithmic version of the celebrated Lovász Local Lemma using the entropy compression method. Their method is now widely used in the community and has become a standard of the probabilistic method, mainly because it often provides the tightest existential bounds. However, it ...
L-orientations of graphs
summary: An orientation of an (undirected) graph G is an assignment of directions to each edge of G. In this talk, we consider an orientation such that the out-degree of each vertex is contained in a given list. We introduce several relations to graph theory topics and pose our main ...
PHD defense: A guide book for the traveller on graphs full of blockages
summary: We study NP-hard problems dealing with graphs containing blockages.
We analyze cut problems via the parameterized complexity framework. The size p of the cut is the parameter. Given a set of sources {s_1,...,s_k} and a target t, we propose an algorithm deciding whether a cut of size at ...
Overcoming interference in the beeping communication model
summary: Small inexpensive inter-communicating electronic devices have become widely available. Although the individual device has severely limited capabilities (e.g., basic communication, constant-size memory or limited mobility), multitudes of such weak devices communicating together are able to form low-cost, easily deployable, yet highly performant networks. Such distributed systems present significant ...
Scalable Load Balancing - Distributed Algorithms and the Packing Model
summary: Load imbalance is a recurring problem in High Performance Computing (HPC), which leads to suboptimal performance via the under-use of available resources. As computing systems grow larger, resource management and load balancing become a costly process, especially for dynamic applications that demand periodical workload balance. With this in mind ...
graph algorithms to help molecular construction
Summary: In organic chemistry, when a new molecule is designed, it is necessary to determine chemical reactions that can be used to synthesize this target molecule from available compounds. Finding such chemical reactions consists usually in searching in a reaction database (such as REAXYS or ChEBI) for a molecule that ...
Fighting epidemics with the maximum spectral subgraph
Summary: Recent developments in mathematical epidemiology have identified a relationship between the time to extinction of an epidemic spreading over a network and the spectral radius of the underlying graph i.e. the largest eigenvalue of its adjacency matrix. At the same time, new generation networking technologies such as NFV ...
Reconfiguration Distribuée de Problèmes de Graphes
Summary: En théorie des graphes, un problème de configuration est le suivant : est-il possible d'aller d'une solution valide d'un problème à une autre, en passant par un chemin de solutions acceptables ? Quelle est la longueur minimale d'un chemin ? Quelle est la complexité ? Par exemple, un problème ...
Some recent results on the integer linear programming formulation for the Max-Cut problem
Summary: Given an undirected graph G=(V,E) where the edges are weighted by an arbitrary cost vector c, a cut S in G associated with a node subset S is the edge subset of E which contains all the edges having exactly one end-node in S. The Maximum Cut ...