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Article
Group theory method for enumeration of outerplanar graphs
In this paper we give an enumeration formula of the outerplanar graphs by means of graph compression, group theory and combinatorial numbers. Some simple examples are exhibited for illustrating the method. The...
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Article
On the construction and enumeration of Hamiltonian graphs
In this paper we give a formula for enumerating the equivalent classes of orderly labeled Hamiltonian graphs under groupD n and two algorithms for constructuring these equivalent classes and all n...