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Longest Cycles in 2-Connected Graphs with Prescribed Maximum Degree

Longest Cycles in 2-Connected Graphs with Prescribed Maximum Degree

The relationship between the lengths of cycles in a graph and the degrees of its vertices was first studied in a general context by G. A. Dirac. In [ 5 ], he proved that every 2-connected simple graph on n vertices with minimum degree d contains a cycle of length …