The construction of the random intersection graph model is based on a randomfamily of sets. Such structures, which are derived from intersections of sets,appear in a natural manner in many applications. In this article we study theproblem of finding a Hamilton cycle in a random intersection graph. To this endwe analyse a classical algorithm for finding Hamilton cycles in random graphs(algorithm HAM) and study its efficiency on graphs from a family of randomintersection graphs (denoted here by G(n,m,p)). We prove that the thresholdfunction for the property of HAM constructing a Hamilton cycle in G(n,m,p) isthe same as the threshold function for the minimum degree at least two. Untilnow, known algorithms for finding Hamilton cycles in G(n,m,p...
A Hamilton cycle in a digraph is a cycle that passes through all the vertices, where all the arcs ar...
We give a sufficient condition for the hamiltonicity of the uniform random intersection graph G{n,m,...
AbstractIn the uniform random intersection graphs model, denoted by Gn,m,λ, to each vertex v we assi...
Random Intersection Graphs, G(n,m,p), is a class of random graphs introduced in Karonski (1999) [7] ...
AbstractRandom Intersection Graphs, Gn,m,p, is a class of random graphs introduced in Karoński (1999...
This paper describes a polynomial time algorithm HAM that searches for Hamilton cycles in undirected...
We describe an algorithm for finding Hamilton cycles in random graphs. Our model is the random graph...
<p>We describe an algorithm for finding Hamilton cycles in random graphs. Our model is the random gr...
This paper describes a polynomial time algorithm HAM that searches for Hamilton cycles in undirected...
AbstractWe describe a polynomial time (O(n3 log n)) algorithm which has a high probability of findin...
This paper describes a polynomial time algorithm HAM that searches for Hamilton cycles in undirected...
We study the Hamilton cycle problem with input a random graph G ~ G(n,p) in two different settings. ...
Abstract. Most NP- Complete problems have linear solutions when restricted to random graphs [2]. Ran...
A Hamilton cycle in a digraph is a cycle passing through all the vertices, where all the arcs are or...
published source had been acknowledged original journal website: http://www.informatik.uni-trier.de/...
A Hamilton cycle in a digraph is a cycle that passes through all the vertices, where all the arcs ar...
We give a sufficient condition for the hamiltonicity of the uniform random intersection graph G{n,m,...
AbstractIn the uniform random intersection graphs model, denoted by Gn,m,λ, to each vertex v we assi...
Random Intersection Graphs, G(n,m,p), is a class of random graphs introduced in Karonski (1999) [7] ...
AbstractRandom Intersection Graphs, Gn,m,p, is a class of random graphs introduced in Karoński (1999...
This paper describes a polynomial time algorithm HAM that searches for Hamilton cycles in undirected...
We describe an algorithm for finding Hamilton cycles in random graphs. Our model is the random graph...
<p>We describe an algorithm for finding Hamilton cycles in random graphs. Our model is the random gr...
This paper describes a polynomial time algorithm HAM that searches for Hamilton cycles in undirected...
AbstractWe describe a polynomial time (O(n3 log n)) algorithm which has a high probability of findin...
This paper describes a polynomial time algorithm HAM that searches for Hamilton cycles in undirected...
We study the Hamilton cycle problem with input a random graph G ~ G(n,p) in two different settings. ...
Abstract. Most NP- Complete problems have linear solutions when restricted to random graphs [2]. Ran...
A Hamilton cycle in a digraph is a cycle passing through all the vertices, where all the arcs are or...
published source had been acknowledged original journal website: http://www.informatik.uni-trier.de/...
A Hamilton cycle in a digraph is a cycle that passes through all the vertices, where all the arcs ar...
We give a sufficient condition for the hamiltonicity of the uniform random intersection graph G{n,m,...
AbstractIn the uniform random intersection graphs model, denoted by Gn,m,λ, to each vertex v we assi...