We present a polynomial complexity, deterministic, heuristic for solving the Hamiltonian
cycle problem (HCP) in an undirected graph of order n n. Although finding a Hamiltonian …

Hamiltonian Cycle Problem is one of the most explored combinatorial problems. Being an
NP‐complete problem, heuristic approaches are found to be more powerful than …

We construct an exact algorithm for the Hamiltonian cycle problem in planar graphs with
worst case time complexity O (cn), where c is some fixed constant that does not depend on …

In this thesis we examine various aspects of the Hamiltonian cycle problem. Our central
thesis is to study the interaction between the algorithm, the graph and the observed …

It is a simple fact that cubic Hamiltonian graphs have at least two Hamiltonian cycles.
Finding such a cycle isNP-hard in general, and no polynomial-time algorithm is known for …

The FHCP Challenge Set, comprising of 1001 instances of Hamiltonian cycle problem, is
introduced. This set is the first to contain instances of Hamiltonian cycle problem for which …

This thesis is concerned with an algorithmic study of the Hamilton cycle problem.
Determining if a graph is Hamiitonian is well known to be an NP-Complete problem, so a …

The Hamiltonian cycle problem (HCP) is an important combinatorial problem with
applications in many areas. It is among the first problems used for studying intrinsic …

An algorithm is presented for finding a Hamiltonian cycle in 4-connected planar graphs. The
algorithm uses linear time and storage space, while the previously best one given by …

Even though the Hamiltonian cycle problem is NP-complete, many of its problem instances
aren't. In fact, almost all the hard instances reside in one area: near the Koml\'os-Szemer\'edi …