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Some combinatorial optimization problems in graphs with applications in telecommunications and tomography

Publications associées (277)

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Online Coloring of Comparability Graphs: some results

Benjamin Leroy-Beaulieu

We study online partitioning of posets from a graph theoretical point of view, which is coloring and cocoloring in comparability graphs. For the coloring problem, we analyse the First-Fit algorithm and show a ratio of

O(\sqrt{n})

; furthermore, we devise ...

2007

Gossiping in a Multi-Channel Radio Network (An Oblivious Approach to Coping With Malicious Interference)

Rachid Guerraoui, Seth Gilbert

We study oblivious deterministic gossip algorithms for multi-channel radio networks with a malicious adversary. In a multi-channel network, each of the n processes in the system must choose, in each round, one of the c channels of the system on which to pa ...

Springer2007

Constrained paths in the flip-graph of regular triangulations

Thomas Liebling, Lionel Pournin

We describe particular paths in the flip-graph of regular triangulations in any dimension. It is shown that any pair of regular triangulations is connected by a path along which none of their common faces are destroyed. As a consequence, we obtain the conn ...

2007

Computing Gröbner fans

This paper presents algorithms for computing the Gröbner fan of an arbitrary polynomial ideal. The computation involves enumeration of all reduced Gröbner bases of the ideal. Our algorithms are based on a uniform definition of the Gröbner fan that applies ...

2007

Generalized vertex coloring problems using split graphs

Tinaz Ekim

Graph theory experienced a remarkable increase of interest among the scientific community during the last decades. The vertex coloring problem (Min Coloring) deserves a particular attention rince it has been able to capture a wide variety of applications. ...

EPFL2006

An introduction to treewidth

Bernard Ries, Daniela Bronner

The notion of treewidth has seen to be a powerful vehicle for many graph algorithmic studies. A lot of problems, which are in general

NP

-complete, can be solved in polynomial time for graphs with small treewidth. In the first part of this paper we presen ...

2006

Network Correlated Data Gathering with Explicit Communication: NP-Completeness and Algorithms

Martin Vetterli, Razvan Cristescu

We consider the problem of correlated data gathering by a network with a sink node and a tree based communication structure, where the goal is to minimize the total trans- mission cost of transporting the information collected by the nodes, to the sink nod ...

2006

New polynomial-time algorithms for Camion bases

Antoine Musitelli

Let M be a finite set of vectors in Rn of cardinality m and H(M) = {{x ∈ Rn : cTx = 0} : c ∈ M} the central hyperplane arrangement represented by M. An independent subset of M of cardinality n is called a Camion basis, if it determines a simplex region in ...

2006

Variations of split-coloring in permutation graphs

Dominique de Werra, Tinaz Ekim

Combinatorial optimization problems related to permutations have been widely studied. Here, we consider different generalizations of the usual coloring problem in permutation graphs. A cocoloring is a partition of a permutation into increasing and decreasi ...

2006

Information Flow Decomposition for Network Coding

Christina Fragouli, Emina Soljanin

The famous min-cut, max-flow theorem states that a source node can send a commodity through a network to a sink node at the rate determined by the flow of the min-cut separating the source and the sink. Recently it has been shown that by linear re-encoding ...

2006

Online Coloring of Comparability Graphs: some results

Benjamin Leroy-Beaulieu

O(\sqrt{n})

; furthermore, we devise ...

2007

An introduction to treewidth

Bernard Ries, Daniela Bronner

The notion of treewidth has seen to be a powerful vehicle for many graph algorithmic studies. A lot of problems, which are in general

NP

-complete, can be solved in polynomial time for graphs with small treewidth. In the first part of this paper we presen ...

2006