Real networks; Albanian Scientific Collaboration Network

We have realized that we reside in a world of networks. The Internet andWorld Wide Web (WWW) are changing our lives. Our physical existence is basedon various biological networks. The sophisticated tools of Network Theory havemade it possible to quantify human dynamics, the relationships between millions ofindividuals via the analysis of the Social Networks. "Scale-Free" is the mainproperty which differentiates a lot of networks from the others, real or simulated,meaning that the vertex degree distribution of such networks follows a power low.The Internet is one of the best known scale-free networks.We study the Albanian Scientific Collaboration Network (ASCNet), which isan undirected graph, where the vertices represent the scientists and each pairs of them are adjacent if the corresponding scientists have coauthored a paper. The data used is taken from the bulletins of the Faculty of Natural Sciences and Aktet of Alb Shkenca Institute, in a span 2004-2010 and 2008-2010 respectively. We analyzethe data and demonstrate the differences in the patterns of collaboration for various research fields. We argue that the ASCNet is a Scale-Free network with a slope  =3.7. We also find the "small world effect" in our network, and the clustering property