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Degree Sums and Covering Cycles
Authors:Hikoe Enomoto  Atsushi Kaneko  Mekkia Kouider  Zsolt Tuza
Abstract:It is shown that if in a simple graph G of order n the sum of degrees of any three pairwise non-adjacent vertices is at least n, then there are two cycles (or one cycle and an edge or a vertex) of GF that contain all the vertices. © 1995 John Wiley & Sons, Inc.
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