Tag: graphs
Designing truthful mecanism
summary: In this presentation, we will focus on the generalization of knapsack budgeting. Given a set of projects and a budget, each voter selects a subset of projects; we want to maximize social welfare. Different measures can describe this (maximizing the minimum utility of the players, maximizing the sum of ...
Classification of truth revealing social choice algorithms
summary: The talk will be on the field of social choices. A group of players
want to choose a subset of a set of objects respecting some properties
(maximal weight of the subset, maximal amount of objects in the subset, ...).
To do so, they vote and use a social choice ...
Acyclic colorings of graphs and the probabilistic method
summary: Graph colorings have been extensively studied for the past century, due to the richness of the theory and its numerous applications. Part of the current research focuses on constrained colorings, and how their properties differ from proper colorings. When we require that, in a proper coloring, no (even) cycle ...
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 ...