# Tag: graphs

## Edge k-q-colorability of graphs

summary: TBA

## TBA

summary: TBA

## Graph colourings, subcolourings, and beyond

summary: The graph colouring problem is central in Graph Theory: it consists in colouring the vertices of a graph such that each colour class induces an independent set, using as few colours as possible. While very difficult to solve exactly, the problem and its worst cases are now understood quite ...

## Algorithms for the Metric Dimension problem on directed graphs

summary: In graph theory, the Metric Dimension problem is the following: we are looking for a minimum-size set R of vertices, such that for any pair of vertices of the graph, there is a vertex from R whose two distances to the vertices of the pair are distinct. This problem ...

## 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 ...

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