TY - GEN

T1 - Distributed approximate matching

AU - Lotker, Zvi

AU - Patt-Shamir, Boaz

AU - Rosen, Adi

PY - 2007/1/1

Y1 - 2007/1/1

N2 - We consider distributed algorithms for approximate maximum matching on general graphs. Our main result is a randomized (4 + )-approximation distributed algorithm for weighted maximum matching, whose running time is O(log n) for any constant > 0, where n is the number of nodes in the graph. In addition, we consider the dynamic case, where nodes are inserted and deleted one at a time. For unweighted dynamic graphs, we give an algorithm that maintains a (1 + )-approximation in O(1/) time for each node insertion or deletion. For weighted dynamic graphs we give a constant-factor approximation algorithm that runs in constant time for each insertion or deletion.

AB - We consider distributed algorithms for approximate maximum matching on general graphs. Our main result is a randomized (4 + )-approximation distributed algorithm for weighted maximum matching, whose running time is O(log n) for any constant > 0, where n is the number of nodes in the graph. In addition, we consider the dynamic case, where nodes are inserted and deleted one at a time. For unweighted dynamic graphs, we give an algorithm that maintains a (1 + )-approximation in O(1/) time for each node insertion or deletion. For weighted dynamic graphs we give a constant-factor approximation algorithm that runs in constant time for each insertion or deletion.

KW - Distributed algorithms

KW - Distributed approximation algorithms

KW - Dynamic algorithms

KW - Graph algorithms

KW - Maximum matching

UR - http://www.scopus.com/inward/record.url?scp=36849046768&partnerID=8YFLogxK

U2 - 10.1145/1281100.1281126

DO - 10.1145/1281100.1281126

M3 - Conference contribution

AN - SCOPUS:36849046768

SN - 1595936165

SN - 9781595936165

T3 - Proceedings of the Annual ACM Symposium on Principles of Distributed Computing

SP - 167

EP - 174

BT - PODC'07

PB - Association for Computing Machinery

T2 - PODC'07: 26th Annual ACM Symposium on Principles of Distributed Computing

Y2 - 12 August 2007 through 15 August 2007

ER -