7 citations · 18 across the 16 of their papers we have counts for
17 papers
Traffic Congestion in Expanders, --Hyperbolic Spaces and Product of Trees
Shi Li, Gabriel H Tucci
In this paper we define the notion of --Gromov hyperbolic space where we relax Gromov's {\it slimness} condition to allow that not all but a positive fraction of all triangl…
Asymptotic Results for Random Polynomials on the Unit Circle
Gabriel H. Tucci, Philip A. Whiting
In this paper we study the asymptotic behavior of the maximum magnitude of a complex random polynomial with i.i.d. uniformly distributed random roots on the unit circle. More speci…
Random Regular Graphs are not Asymptotically Gromov Hyperbolic
Gabriel H. Tucci
In this paper we prove that random --regular graphs with have traffic congestion of the order where is the number of nodes and geodesic rou…
Traffic Analysis in Random Delaunay Tessellations and Other Graphs
John D. Hobby, Gabriel H. Tucci
In this work we study the degree distribution, the maximum vertex and edge flow in non-uniform random Delaunay triangulations when geodesic routing is used. We also investigate the…
Asymptotic Behavior of the Maximum and Minimum Singular Value of Random Vandermonde Matrices
Gabriel H. Tucci, Philip A. Whiting
This work examines various statistical distributions in connection with random Vandermonde matrices and their extension to --dimensional phase distributions. Upper and lower bou…
Scaling of Congestion in Small World Networks
Iraj Saniee, Gabriel H. Tucci
In this report we show that in a planar exponentially growing network consisting of nodes, congestion scales as independently of how flows may be routed. This…