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COCOON
2009
Springer
14 years 12 days ago
Convex Partitions with 2-Edge Connected Dual Graphs
It is shown that for every finite set of disjoint convex polygonal obstacles in the plane, with a total of n vertices, the free space around the obstacles can be partitioned into ...
Marwan Al-Jubeh, Michael Hoffmann, Mashhood Ishaqu...
JACM
2000
119views more  JACM 2000»
13 years 5 months ago
A minimum spanning tree algorithm with Inverse-Ackermann type complexity
A deterministic algorithm for computing a minimum spanning tree of a connected graph is presented. Its running time is O(m (m, n)), where is the classical functional inverse of Ack...
Bernard Chazelle
ESA
2000
Springer
110views Algorithms» more  ESA 2000»
13 years 9 months ago
Maintaining a Minimum Spanning Tree Under Transient Node Failures
Given a 2-node connected, undirected graph G = (V, E), with n nodes and m edges with real weights, and given a minimum spanning tree (MST) T = (V, ET ) of G, we study the problem o...
Enrico Nardelli, Guido Proietti, Peter Widmayer
CDC
2008
IEEE
129views Control Systems» more  CDC 2008»
14 years 9 days ago
On the structure of graph edge designs that optimize the algebraic connectivity
— 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...
SIAMJO
2008
144views more  SIAMJO 2008»
13 years 5 months ago
Embedded in the Shadow of the Separator
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....
Frank Göring, Christoph Helmberg, Markus Wapp...