activity
20082023
most citedPartitions versus sets : a case of duality

17 citations · 31 across the 6 of their papers we have counts for

collaborators

8 papers

cs.DC2023

Trade-off between Time, Space, and Workload: the case of the Self-stabilizing Unison

Stéphane Devismes, David Ilcinkas, Colette Johnen +1

We present a self-stabilizing algorithm for the (asynchronous) unison problem which achieves an efficient trade-off between time, workload, and space in a weak model. Precisely, ou…

cs.DC2023

Distributed Certification for Classes of Dense Graphs

Pierre Fraigniaud, Frédéric Mazoit, Pedro Montealegre +2

A proof-labeling scheme (PLS) for a boolean predicate on labeled graphs is a mechanism used for certifying the legality with respect to of global network states in a distri…

cs.DC2023

Making local algorithms efficiently self-stabilizing in arbitrary asynchronous environments

Stéphane Devismes, David Ilcinkas, Colette Johnen +1

This paper deals with the trade-off between time, workload, and versatility in self-stabilization, a general and lightweight fault-tolerant concept in distributed computing.In this…

math.CO2013★ 10 cited

A single exponential bound for the redundant vertex Theorem on surfaces

Frédéric Mazoit

Let s1, t1,. . . sk, tk be vertices in a graph G embedded on a surface σof genus g. A vertex v of G is "redundant" if there exist k vertex disjoint paths linking si and ti (1 \lequ…

math.CO2013★ 4 cited

A simple proof of the tree-width duality theorem

Frédéric Mazoit

We give a simple proof of the "tree-width duality theorem" of Seymour and Thomas that the tree-width of a finite graph is exactly one less than the largest order of its brambles.

cs.DM2010

Tree-width of hypergraphs and surface duality

Frédéric Mazoit

In Graph Minors III, Robertson and Seymour write: "It seems that the tree-width of a planar graph and the tree-width of its geometric dual are approximately equal - indeed, we have…

cs.DM2009★ 17 cited

Partitions versus sets : a case of duality

Laurent Lyaudet, Frédéric Mazoit, Stephan Thomasse

In a recent paper, Amini et al. introduce a general framework to prove duality theorems between special decompositions and their dual combinatorial object. They thus unify all know…

cs.DM2008

Tree-width of hypergraphs and surface duality

Frédéric Mazoit

In Graph Minor III, Robertson and Seymour conjecture that the tree-width of a planar graph and that of its dual differ by at most one. We prove that given a hypergraph H on a surfa…