We analyze the convergence of the spectrum of large random graphs to the spectrum of a limit infinite graph. We apply these results to graphs converging locally to trees and deri...
A star graph is a tree of diameter at most two. A star forest is a graph that consists of node-disjoint star graphs. In the spanning star forest problem, given an unweighted graph ...
Ning Chen, Roee Engelberg, C. Thach Nguyen, Prasad...
Given a spatio-temporal network (ST network) whose edge properties vary with time, a time-sub-interval minimum spanning tree (TSMST) is a collection of distinct minimum spanning t...
We present a randomized EREW PRAM algorithm to nd a minimum spanning forest in a weighted undirected graph. On an n-vertex graph the algorithm runs in o((logn)1+ ) expected time f...
We study the merging process when Kruskal's algorithm is run with random graphs as inputs. Our aim is to analyze this process when the underlying graph is the complete graph ...