— We take a structural approach to the problem of designing the edge weights in an undirected graph subject to an upper bound on their total, so as to maximize the algebraic conn...
Yan Wan, Sandip Roy, Xu Wang, Ali Saberi, Tao Yang...
Abstract. The problems of optimizing the network structure by the reliability criteria is discussed. The networks with absolutely reliable nodes and unreliable edges are considered...
Olga K. Rodionova, Alexey S. Rodionov, Hyunseung C...
This paper addresses the problem of representing the connectivity information of geometric objects using as little memory as possible. As opposed to raw compression issues, the fo...
Given an undirected graph or an Eulerian directed graph G and a subset S of its vertices, we show how to determine the edge connectivity C of the vertices in S in time O(C3 n log ...
Eigenvectors to the second smallest eigenvalue of the Laplace matrix of a graph, also known as Fiedler vectors, are the basic ingredient in spectral graph partitioning heuristics....