Studying the spectrum of a topology, is an interesting and deep subject that reveals certain properties and sheds light to the particular of various network functions. For example, an analytical investigation of its spectral properties reveals that the minimum elements of its principal eigenvector correspond to the solution of the median problem.
The median matrix captures the median problem such that the smallest of principal eigenvector elements correspond to the solution of the problem.
||Asterios Papamichail, Athanasios Tsipis, Georgios Tsoumanis, Konstantinos Oikonomou, “Study of a Proposed Spectral-based Approach for Facility Location in Tree Topologies”, In 2022 Global Information Infrastructure and Networking Symposium (GIIS) (GIIS’22), Argostoli, Greece, 2022.
||Athanasios Tsipis, Sofia Fanarioti, Vasileios Komianos, Spyros Sioutas, Konstantinos Oikonomou, “A Study on Robustness for the Single Server Location in Distributed Interactive Applications”, In 2022 Global Information Infrastructure and Networking Symposium (GIIS) (GIIS’22), Argostoli, Greece, 2022.
||Konstantinos Oikonomou, “A Spectrum Analysis Approach for the Median Problem in Modern Network Environments”, In 2022 IEEE Symposium on Computers and Communications (ISCC), 2022.
||Konstantinos Oikonomou, George Koufoudakis, Sonia Aïssa, Ioannis Stavrakakis, “Probabilistic Flooding Performance Analysis Exploiting Graph Spectra Properties”, In IEEE/ACM Transactions on Networking, pp. 1-14, 2022.
||George Koufoudakis, Konstantinos Oikonomou, Sonia Aïssa, Ioannis Stavrakakis, “Analysis of Spectral Properties for Efficient Coverage Under Probabilistic Flooding”, In 2018 IEEE 19th International Symposium on A World of Wireless, Mobile and Multimedia Networks (WoWMoM) (IEEE WoWMoM 2018), Chania, Crete, Greece, pp. 1-9, 2018.
||George Koufoudakis, Konstantinos Oikonomou, Konstantinos Giannakis, Sonia Aïssa, “Probabilistic Flooding Coverage Analysis for Efficient Information Dissemination in Wireless Networks”, In Computer Networks, vol. 140, pp. 51 – 61, 2018.
||Konstantinos Oikonomou, George Koufoudakis, Sonia Aïssa, “Probabilistic Flooding Coverage Analysis in Large Scale Wireless Networks”, In 2012 19th International Conference on Telecommunications (ICT), pp. 1-6, 2012.