Spectral Analysis of Protein-Protein Interactions in Drosophila melanogaster

Abstract

Within a case study on the protein-protein interaction network (PIN) of Drosophila melanogaster we investigate the relation between the network's spectral properties and its structural features such as the prevalence of specific subgraphs or duplicate nodes as a result of its evolutionary history. The discrete part of the spectral density shows fingerprints of the PIN's topological features including a preference for loop structures. Duplicate nodes are another prominent feature of PINs and we discuss their representation in the PIN's spectrum as well as their biological implications.

arXiv comment9 pages RevTeX including 8 figures

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• Statistical mechanics of complex networks
• Specificity and stability in topology of protein networks
• Spectra of "Real-World" Graphs: Beyond the Semi-Circle Law
• Spectra of complex networks
• Spectra and eigenvectors of scale-free networks
• Subgraphs in random networks
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