Maximum independent set and maximum clique algorithms for overlap graphs

Heuristics For Maximum Clique And Independent Set

Heuristics for Maximum Clique and Independent Set

Algorithms for a maximum clique and a maximum independent set of a circle graph

Consider a family of chords i n a c ircle . is obtained by representing each chord by a vertex, two vertices being connected by an edge when the corresponding chords intersect. I n t h i s paper, we describe e f f i c i en t algorithms for finding a ma3cimwn clique and a maximum independent s e t of circle graphs. the number of vertices i n the graph. Key WO&: Circle graph, transi t ive graph, ...

Exact Algorithms for Maximum Independent Set

We show that the maximum independent set problem (MIS) on an n-vertex graph can be solved in 1.1996n time and polynomial space, which even is faster than Robson’s 1.2109n-time exponential-space algorithm published in 1986. We also obtain improved algorithms for MIS in graphs with maximum degree 6 and 7, which run in time of 1.1893n and 1.1970n, respectively. Our algorithms are obtained by using...

An Optimal Algorithm to Find Maximum Independent Set and Maximum 2-Independent Set on Cactus Graphs

A cactus graph is a connected graph in which every block is either an edge or a cycle. An optimal algorithm is presented here to find a maximum independent set and maximum 2-independent set on cactus graphs in O(n) time, where n is the total number of vertices of the graph. The cactus graph has many applications in real life problems, specially in radio communication system.