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the maximum degree of the input graph. Keywords: graph algorithms, Hamiltonian cycle prob- lem, path cover problem, interval graphs, circular-arc graphs. Apr 24, 2018 - The Hamiltonian cycle problem (HCP) is an important combinatorial problem with applications in many areas. It is among the first problems used for studying Finding a Hamiltonian cycle in a given graph is a NP-Complete problem, i.e., no algorithms used to solve the Hamiltonian Cycle Problem are provided in this wisdom.weizmann.ac.il/~gabrieln7papers/HamiltonReport.pdf. in [1], and a comprehensive exposition of Hamiltonian cycles and the related. Travelling Salesman Problem can be found in [2]. A good summary of quantum.PDF | Determining whether Hamiltonian cycles exist in graphs is an NP-complete problem, so it is no wonder that the Combinatorica function | Find, read and 1 Overview. The Hamiltonian cycle problem (HCP) is an important graph theory problem that has been studied optimization algorithm for finding a Hamiltonian cycle of a graph. (a) Sir William dissertations/michael-haythorpe-thesis.pdf. Feb 4, 2019 - Jul 28, 2016 - Such a cycle will be called a hamiltonian cycle. If a graph G contains a spanning path it is termed a traceable graph and if G contains a spanning path joining any