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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 ...
Wireless Sensor Networks (WSN) comprise a fast developing research area with a vast spectrum of applications. A WSN design is influenced by many factors such as transmission errors, network topology and power consumption. Consequently, developing a WSN app ...
In this note we consider two coloring problems in mixed graphs, i.e., graphs containing edges and arcs. We show that they are both NP-complete in cubic planar bipartite graphs. This answers an open question from \cite{Ries2}. ...
Network tomography infers internal network characteristics by sending and collecting probe packets from the network edge. Traditional tomographic techniques for general topologies typically use a mesh of multicast trees and/or unicast paths to cover the en ...
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 ...
Wireless Sensor Networks (WSN) comprise a fast-developing research area with a vast spectrum of applications. A WSN design is influenced by many factors such as transmission errors, network topology and power consumption. Consequently, developing a WSN app ...
In this thesis, we deal with binet matrices, an extension of network matrices. The main result of this thesis is the following. A rational matrix A of size n×m can be tested for being binet in time O(n6m). If A is binet, our algorithm outputs a nonsingular ...
We examine the throughput benefits that network coding offers with respect to the average through- put achievable by routing, where the average throughput refers to the average of the rates that the indi- vidual receivers experience. We relate these benefi ...
This paper addresses a multiprocessor generalization of the preemptive open-shop scheduling problem. The set of processors is partitioned into two groups and the operations of the jobs may require either single processors in either group or simultaneously ...
The pioneering paper by H. Schichl and A. Neumaier has founded the fundamentals of interval analysis on DAGs for global optimization, including a fundamental of constraint propagation. In this paper, we extend the constraint propagation technique for solvi ...
