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Better Trees for Santa Claus

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A note on the data-driven capacity of P2P networks

Pascal Frossard

We consider two capacity problems in P2P networks. In the first one, the nodes have an infinite amount of data to send and the goal is to optimally allocate their uplink bandwidths such that the demands of every peer in terms of receiving data rate are met ...

2009

Weighted coloring on planar, bipartite and split graphs: Complexity and approximation

Dominique de Werra

We study complexity and approximation of MIN WEIGHTED NODE COLORING in planar, bipartite and split graphs. We show that this problem is NP-hard in planar graphs, even if they are triangle-free and their maximum degree is bounded above by 4. Then, we prove ...

2009

Asymmetric information embedding

Mohammad Amin Shokrollahi

In the Information Embedding Problem one is given a piece of data which can be altered only conditionally, for example only at certain places. One is then asked to embed an arbitrary message into the data by only applying admissible changes to the data. Th ...

Springer-Verlag2008

On Broadcast with a Common Message over Networks

Satish Babu Korada, Dinkar Vasudevan

We consider the following communication problem over a directed graph. A source node wants to transmit a common message to a set of receiver nodes along with a private message to each of the receivers. We show a class of networks for which the achievable r ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2008

Drawing cubic graphs with at most five slopes

János Pach, Balázs Keszegh

We show that every graph G with maximum degree three has a straight-line drawing in the plane using edges of at most five different slopes. Moreover, if G is connected and has at least one vertex of degree less than three, then four directions suffice. ...

2008

Variations of coloring problems related to scheduling and discrete tomography

Bernard Ries

The graph coloring problem is one of the most famous problems in graph theory and has a large range of applications. It consists in coloring the vertices of an undirected graph with a given number of colors such that two adjacent vertices get different col ...

EPFL2007

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

Linear Iterations on Ordered Semirings for Trust Metric Computation and Attack Resiliency Evaluation

Georgios Theodorakopoulos

Within the realm of network security, we interpret the concept of trust as a relation among entities that participate in various protocols. Trust relations are based on evidence created by the previous interactions of entities within a protocol. In this wo ...

MTNS2006

On Trust Models and Trust Evaluation Metrics for Ad-Hoc Networks

Georgios Theodorakopoulos

2006

Synchrony in node-balanced networks

Martin Hasler, Igor Belykh

We study global stability of synchronization in asymmetrically connected networks of limit-cycle or chaotic oscillators. We extend the connection graph stability method to directed graphs with node balance, the property that all nodes in the network have e ...

2006