Title :
On certain connectivity properties of the Internet topology
Author :
Mihail, Milena ; Papadimitriou, Christos ; Saberi, Amin
Author_Institution :
Coll. of Comput., Georgia Tech., Atlanta, GA, USA
Abstract :
We show that random graphs in the preferential connectivity model have constant conductance, and hence have worst-case routing congestion that scales logarithmically with the number of nodes. Another immediate implication is constant spectral gap between the first and second eigenvalues of the random walk matrix associated with these graphs. We also show that the expected frugality (overpayment in the Vickrey-Clarke-Groves mechanism for shortest paths) of a random graph is bounded by a small constant.
Keywords :
Internet; eigenvalues and eigenfunctions; graph theory; matrix algebra; telecommunication network routing; Internet topology; Vickrey-Clarke-Groves mechanism; connectivity property; eigenvalues; preferential connectivity model; random graph; random walk matrix; routing congestion; shortest path; spectral gap; Brain modeling; Computer science; Educational institutions; Eigenvalues and eigenfunctions; IP networks; Internet; Routing; Telecommunication traffic; Topology; Weight measurement;
Conference_Titel :
Foundations of Computer Science, 2003. Proceedings. 44th Annual IEEE Symposium on
Print_ISBN :
0-7695-2040-5
DOI :
10.1109/SFCS.2003.1238178