2 Definitions and main results 3 2.1 Notations and definitions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2.2 Graph norms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.3 Schatten-von Neumann classes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 2.4 Hölder and weakly Hölder graphs . . . . . . . . . . . . ....

................................................................................................................................................. 3 Acknowledgements................................................................................................................................ 6 List of Tables...........................................................................................

Ebola viruses (EBOV; genus Ebolavirus, family Filoviridae) cause often fatal, hemorrhagic fever in several species of simian primates including human. While fruit bats are considered a natural reservoir, the involvement of other species in the EBOV transmission cycle is unclear, especially for domesticated animals. Dogs and pigs are so far the only domestic animals identified as species that ca...

Storage operators have been introduced by J. L. Krivine in [5] they are closed x-terms which, for a data type, allow one to simulate a "call by value" while using the "call by name" strategy. In this paper, we introduce the directed ;,-calculus and show that it has the usual properties of the ordinary ;,-calculus. With this calculus we get an equivalent-and simple-definition of the storage oper...

we study topological von neumann regularity and principal von neumann regularity of banach algebras. our main objective is comparing these two types of banach algebras and some other known banach algebras with one another. in particular, we show that the class of topologically von neumann regular banach algebras contains all $c^*$-algebras, group algebras of compact abelian groups and cer...

abstract background von willebrand disease (vwd) is an autosomally inherited bleeding disorder with the prevalence of 1% based on population studies. the disease phenotype is due to quantitative and structural/functional defects in von willebrand factor (vwf) which is a glycoprotein with essential role as a carrier of fviii in circulation and also it serves the function as hemostasis regulator....

GraphML (Graph Markup Language) is an XML-based language for the description of network data. It is intended as a simple, extensible and general file format for archiving arbitrary graphs with arbitrary additional data. This thesis investigates GraphML processing specified by XSLT stylesheets. After an introduction into GraphML and XSLT, various use cases show that XSLT is able – as a stand-alo...

We show that the (normalized) symmetric Laplacian of a simple graph can be obtained from the partial trace over a pure bipartite quantum state that resides in a bipartite Hilbert space (one part corresponding to the vertices, the other corresponding to the edges). This suggests an interpretation of the symmetric Laplacian’s Von Neumann entropy as a measure of bipartite entanglement present betw...

This thesis presents an optimal algorithm that solves the longest path problem for undirected graphs. The algorithm makes use of graph partitioning and dynamic programming. It’s performance was evaluated in a number of benchmarks and compared to other known algorithms. The runtime of the algorithm was shown to be significantly faster on the tested graphs. Deutsche Zusammenfassung Diese Arbeit p...

let $n$ be any positive integer and let $f_n$ be the friendship (or dutch windmill) graph with $2n+1$ vertices and $3n$ edges. here we study graphs with the same adjacency spectrum as the $f_n$. two graphs are called cospectral if the eigenvalues multiset of their adjacency matrices are the same. let $g$ be a graph cospectral with $f_n$. here we prove that if $g$ has no cycle of length $4$ or $...