### The time complexity of maximum matching by simulated annealingThe time complexity of maximum matching by simulated annealing

Access Restriction
Subscribed

 Author Sasaki, Galen H. ♦ Hajek, Bruce Source ACM Digital Library Content type Text Publisher Association for Computing Machinery (ACM) File Format PDF Copyright Year ©1988 Language English
 Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science Abstract The random, heuristic search algorithm called simulated annealing is considered for the problem of finding the maximum cardinality matching in a graph. It is shown that neither a basic form of the algorithm, nor any other algorithm in a fairly large related class of algorithms, can find maximum cardinality matchings such that the average time required grows as a polynomial in the number of nodes of the graph. In contrast, it is also shown for arbitrary graphs that a degenerate form of the basic annealing algorithm (obtained by letting “temperature” be a suitably chosen constant) produces matchings with $\textit{nearly}$ maximum cardinality in polynomial average time. ISSN 00045411 Age Range 18 to 22 years ♦ above 22 year Educational Use Research Education Level UG and PG Learning Resource Type Article Publisher Date 1988-04-01 Publisher Place New York e-ISSN 1557735X Journal Journal of the ACM (JACM) Volume Number 35 Issue Number 2 Page Count 17 Starting Page 387 Ending Page 403

#### Open content in new tab

Source: ACM Digital Library