Publication

Latin-Amercian Conference on Combinatorics, Graphs and Applications

Publications associées (57)

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Algebraic techniques for deterministic networks

Christina Fragouli, Javad Ebrahimi Boroojeni

We here summarize some recent advances in the study of linear deterministic networks, recently proposed as approximations for wireless channels. This work started by extending the algebraic framework developed for multicasting over graphs in [1] to include ...

2010

Blockers and transversals

Dominique de Werra, Bernard Ries, Rico Zenklusen

Given an undirected graph G = (V, E) with matching number v(G), we define d-blockers as subsets of edges B such that nu((V, E \ B)) = d. ...

2009

A Magnetic Procedure for the Stability Number

Dominique de Werra

A magnet is a pair u, v of adjacent vertices such that the proper neighbours of u are completely linked to the proper neighbours of v. It has been shown that one can reduce the graph by removing the two vertices u, v of a magnet and introducing a new verte ...

2009

Graph transformations preserving the stability number

Dominique de Werra

We analyse the relations between several graph transformations that were introduced to be used in procedures determining the stability number of a graph. We show that all these transformations can be decomposed into a sequence of edge deletions and twin de ...

2009

Feedback topology and XOR-dynamics in Boolean networks with varying input structure

Carlo Maffi

We analyze a model of fixed in-degree random Boolean networks in which the fraction of input-receiving nodes is controlled by the parameter gamma. We investigate analytically and numerically the dynamics of graphs under a parallel XOR updating scheme. This ...

2009

Parity-regular Steinhaus graphs

Maxime Augier

Steinhaus graphs on n vertices are certain simple graphs in bijective correspondence with binary {0,1}-sequences of length n-1. A conjecture of Dymacek in 1979 states that the only nontrivial regular Steinhaus graphs are those corresponding to the periodic ...

American Mathematical Society2008

The stable set polytope of quasi-line graphs

Friedrich Eisenbrand, Gautier Stauffer

It is a long standing open problem to find an explicit description of the stable set polytope of claw-free graphs. Yet more than 20 years after the discovery of a polynomial algorithm for the maximum stable set problem for claw-free graphs, there is even n ...

2008

On the Throughput Improvement due to Limited Complexity Processing at Relay Nodes

Christina Fragouli

We consider a source that transmits information to a receiver by routing it over a communication network represented by a graph and examine rate benefits that finite complexity processing at the intermediate nodes may offer. We show that there exist config ...

2005

Circular Ones Matrices and the Stable set Polytopes of Quasi-Line Graphs

Friedrich Eisenbrand, Gautier Stauffer

2005

Virtual Round Table on ten leading questions for network research

Paolo De Los Rios

The following discussion is an edited summary of the public debate started during the conference "Growing Networks and Graphs in Statistical Physics, Finance, Biology and Social Systems" held in Rome in September 2003. Drafts documents were circulated elec ...

Springer Verlag2004