Solving Graph Problems via Potential Maximal Cliques
نویسندگان
چکیده
منابع مشابه
Listing All Potential Maximal Cliques of a Graph
A potential maximal clique of a graph is a vertex set that induces a maximal clique in some minimal triangulation of that graph. It is known that if these objects can be listed in polynomial time for a class of graphs, the treewidth and the minimum 5ll-in are polynomially tractable for these graphs. We show here that the potential maximal cliques of a graph can be generated in polynomial time i...
متن کاملCounting and Listing all Potential Maximal Cliques of a Graph
We show that the number of potential maximal cliques for an arbitrary graph G on n vertices is O∗(1.8135n), and that all potential maximal cliques can be listed in O∗(1.8899n) time. As a consequence of this results, treewidth and minimum fill-in can be computed in O∗(1.8899n) time.
متن کاملEquations , Maximal Cliques , and Graph Isomorphism
We present a new energy-minimization framework for the graph isomorphism problem which 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 feat...
متن کاملReplicator Equations, Maximal Cliques, and Graph Isomorphism
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 featu...
متن کاملMining λ-Maximal Cliques from a Fuzzy Graph
The depletion of natural resources in the last century now threatens our planet and the life of future generations. For the sake of sustainable development, this paper pioneers an interesting and practical problem of dense substructure (i.e., maximal cliques) mining in a fuzzy graph where the edges are weighted by the degree of membership. For parameter 0 ≤ λ ≤ 1 (also called fuzzy cut in fuzzy...
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ژورنال
عنوان ژورنال: ACM Journal of Experimental Algorithmics
سال: 2019
ISSN: 1084-6654,1084-6654
DOI: 10.1145/3301297