TY - GEN
T1 - Distributed approximate matching
AU - Lotker, Zvi
AU - Patt-Shamir, Boaz
AU - Rosen, Adi
PY - 2007
Y1 - 2007
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
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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 -