Sie können Bookmarks mittels Listen verwalten, loggen Sie sich dafür bitte in Ihr SLUB Benutzerkonto ein.
Medientyp:
E-Artikel
Titel:
Replicator Equations, Maximal Cliques, and Graph Isomorphism
Beteiligte:
Pelillo, Marcello
Erschienen:
MIT Press, 1999
Erschienen in:
Neural Computation, 11 (1999) 8, Seite 1933-1955
Sprache:
Englisch
DOI:
10.1162/089976699300016034
ISSN:
0899-7667;
1530-888X
Entstehung:
Anmerkungen:
Beschreibung:
We present a new energy-minimization framework for the graph isomorphism problem that is based on an equivalent maximum clique formulation. The approach is centered around a fundamental result proved by Motzkin and Straus in the mid-1960s, and recently expanded in various ways, which allows us to formulate the maximum clique problem in terms of a standard quadratic program. The attractive feature of this formulation is that a clear one-to-one correspondence exists between the solutions of the quadratic program and those in the original, combinatorial problem. To solve the program we use the so-called replicator equations—a class of straightforward continuous- and discrete-time dynamical systems developed in various branches of theoretical biology. We show how, despite their inherent inability to escape from local solutions, they nevertheless provide experimental results that are competitive with those obtained using more elaborate mean-field annealing heuristics.