TY - GEN

T1 - Unbalanced points and vertices problem

AU - Lotker, Zvi

AU - Navarra, Alfredo

PY - 2006/10/31

Y1 - 2006/10/31

N2 - Starting from the Points and Vertices problem introduced in [9], given a graph G = (V, E] with |V|= n and a positive number ε, we consider the following problem. Place (1 - ε)n points on the vertices V of G independently and uniformly at random. Once the points are placed, relocate them by movements along the edges E of G using a function from the points to the vertices that minimizes the maximum distance between the random place of the points and their target vertices. The aim is to obtain in the final setting at most one point for each vertex. We look for an upper bound on this maximum relocation distance that holds with high probability over the initial placements of the points. We study several topologies for the graph G like paths, trees, d-dimensional grids, hypercubes and general graphs.

AB - Starting from the Points and Vertices problem introduced in [9], given a graph G = (V, E] with |V|= n and a positive number ε, we consider the following problem. Place (1 - ε)n points on the vertices V of G independently and uniformly at random. Once the points are placed, relocate them by movements along the edges E of G using a function from the points to the vertices that minimizes the maximum distance between the random place of the points and their target vertices. The aim is to obtain in the final setting at most one point for each vertex. We look for an upper bound on this maximum relocation distance that holds with high probability over the initial placements of the points. We study several topologies for the graph G like paths, trees, d-dimensional grids, hypercubes and general graphs.

UR - http://www.scopus.com/inward/record.url?scp=33750356056&partnerID=8YFLogxK

U2 - 10.1109/PERCOMW.2006.137

DO - 10.1109/PERCOMW.2006.137

M3 - Conference contribution

AN - SCOPUS:33750356056

SN - 0769525202

SN - 9780769525204

T3 - Proceedings - Fourth Annual IEEE International Conference on Pervasive Computing and Communications Workshops, PerCom Workshops 2006

SP - 96

EP - 100

BT - Proceedings - Fourth Annual IEEE International Conference on Pervasive Computing and Communications Workshops, PerCom Workshops 2006

T2 - 4th Annual IEEE International Conference on Pervasive Computing and Communications Workshops, PerCom Workshops 2006

Y2 - 13 March 2006 through 17 March 2006

ER -