An output sensitive algorithm for computing a maximum independent set of a circle graph
نویسندگان
چکیده
منابع مشابه
An output sensitive algorithm for computing a maximum independent set of a circle graph
We present an output sensitive algorithm for computing a maximum independent set of an unweighted circle graph. Our algorithm requires O(nmin{d, α}) time at worst, for an n vertex circle graph where α is the independence number of the circle graph and d is its density. Previous algorithms for this problem required Θ(nd) time at worst.
متن کاملAlgorithms 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, ...
متن کاملA combinatorial algorithm for computing a maximum independent set in a t-perfect graph
We present a combinatorial polynomial time algorithm to compute a maximum stable set of a t-perfect graph. The algorithm rests on an ε-approximation algorithm for general set covering and packing problems and is combinatorial in the sense that it does not use an explicit linear programming algorithm or methods from linear algebra or convex geometry. Instead our algorithm is based on basic arith...
متن کاملFinding a Maximum Independent Set in a Sparse Random Graph
We consider the problem of finding a maximum independent set in a random graph. The random graphG is modelled as follows. Every edge is included independently with probability d n , where d is some sufficiently large constant. Thereafter, for some constant α, a subset I of αn vertices is chosen at random, and all edges within this subset are removed. In this model, the planted independent set I...
متن کاملAn 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.
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: Information Processing Letters
سال: 2010
ISSN: 0020-0190
DOI: 10.1016/j.ipl.2010.05.016