@inproceedings{9410f9990cb84e72b6ddf3bde5a0845c,
title = "Numerical investigation of graph spectra and information interpretability of Eigenvalues",
abstract = "We undertake an extensive numerical investigation of the graph spectra of thousands regular graphs, a set of random Erd{\"o}s-R{\'e}nyi graphs, the two most popular types of complex networks and an evolving genetic network by using novel conceptual and experimental tools. Our objective in so doing is to contribute to an understanding of the meaning of the Eigenvalues of a graph relative to its topological and informationtheoretic properties. We introduce a technique for identifying the most informative Eigenvalues of evolving networks by comparing graph spectra behavior to their algorithmic complexity. We suggest that extending techniques can be used to further investigate the behavior of evolving biological networks. In the extended version of this paper we apply these techniques to seven tissue specific regulatory networks as static example and network of a na{\"i}ve pluripotent immune cell in the process of differentiating towards a Th17 cell as evolving example, finding the most and least informative Eigenvalues at every stage.",
keywords = "Algorithmic complexity, Algorithmic probability, Eigenvalues meaning, Graph spectra behavior, Information content, Network science",
author = "Hector Zenil and Kiani, {Narsis A.} and Jesper Tegn{\'e}r",
note = "Publisher Copyright: {\textcopyright} Springer International Publishing Switzerland 2015.; 3rd International Work-Conference on Bioinformatics and Biomedical Engineering, IWBBIO 2015 ; Conference date: 15-04-2015 Through 17-04-2015",
year = "2015",
doi = "10.1007/978-3-319-16480-9_39",
language = "English (US)",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer Verlag",
pages = "395--405",
editor = "Francisco Ortu{\~n}o and Ignacio Rojas",
booktitle = "Bioinformatics and Biomedical Engineering - 3rd International Conference, IWBBIO 2015, Proceedings",
address = "Germany",
}