We use the (exact) maximum clique
solving algorithm presented in , which is based on greedy graph colorings - i.e.
Many outstanding NP-hard problems like LAP (Linear Arrangement Problem), MCP (Maximum Clique
Problem) and TSP (Travelling Salesman Problem) are just particular QAP instances [3}].
Their topics are graph theory, visualization with Microsoft foundation classes, graph coloring, computing the shortest path, computing the minimum spanning tree, computing the maximum clique
, triangulation application, scheduling application, target detection application, and network routing application.
The clique number [omega](G) of a graph G is the number of vertices in a maximum clique
In this paper, we are interested in finding a maximum clique
in the visibility graph of a polygon.
In , the first three smallest values of the Laplacian spectral radii among all connected graphs with maximum clique
size w are given.
In Carter et al.'s approach, their algorithm first found the maximum clique
of conflicting examinations.
Additional Key Words and Phrases: Combinatorial optimization, Fortran subroutines, GRASP, local search, maximum clique
, maximum independent set
With probability at least 1-[delta] the algorithm runs in O [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] time and returns a maximum clique
, where [omega](G) is the number of vertices in a maximum clique
Lemma 5 The MAXIMUM CLIQUE
problem is NP-complete even for graphs with no clique separator.
Salvail, "Solvingthe maximum clique
problem using a tabu search approach," Annals of Operations Research, vol.
By Theorem 5.5 and Lemma 5.2, the maximum clique
size in G[L] is (1 - [epsilon])k, which is a contradiction.