Matching free trees, maximal cliques, and monotone game dynamics
نویسندگان
چکیده
منابع مشابه
Matching Free Trees, Maximal Cliques, and Monotone Game Dynamics
Motivated by our recent work on rooted tree matching, in this paper we provide a solution to the problem of matching two free (i.e., unrooted) trees by constructing an association graph whose maximal cliques are in one-to-one correspondence with maximal common subtrees. We then solve the problem using simple payoff-monotonic dynamics from evolutionary game theory. We illustrate the power of the...
متن کاملExtracting of All Maximal Cliques: Monotone System Approach
NP-complicated problems have been described in the graph theory. An example is the extracting of all maximal cliques from a graph. Many algorithms for solving this problem have been described. However, complexity is linear to the number of maximal cliques. This paper discusses a new approach for extracting maximal cliques, based on the monotone system theory. The complexity of the presented alg...
متن کاملBoundary cliques, clique trees and perfect sequences of maximal cliques of a chordal graph
We characterize clique trees of a chordal graph in their relation to simplicial vertices and perfect sequences of maximal cliques. We investigate boundary cliques de ned by Shibata[23] and clarify their relation to endpoints of clique trees. Next we de ne a symmetric binary relation between the set of clique trees and the set of perfect sequences of maximal cliques. We describe the relation as ...
متن کاملInvariant Maximal Cliques and Incompleteness
The Invariant Maximal Clique Theorem asserts that every graph on Q[0,n] with a specific invariance condition has a maximal clique with another specific invariance condition. Here Q[0,n] consists of the rationals in the interval [0,n]. The invariance conditions are all given by equivalence relations involving only < on [0,n] and the distinguished elements 1,...,n. We prove the Invariant Maximal ...
متن کاملMATHEMATICAL ENGINEERING TECHNICAL REPORTS Boundary cliques, clique trees and perfect sequences of maximal cliques of a chordal graph
We characterize clique trees of a chordal graph in their relation to simplicial vertices and perfect sequences of maximal cliques. We investigate boundary cliques defined by Shibata[23] and clarify their relation to endpoints of clique trees. Next we define a symmetric binary relation between the set of clique trees and the set of perfect sequences of maximal cliques. We describe the relation a...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: IEEE Transactions on Pattern Analysis and Machine Intelligence
سال: 2002
ISSN: 0162-8828
DOI: 10.1109/tpami.2002.1046176