On a Max-min Problem Concerning Weights of Edges

The weight w(e) of an edge e = uv of a graph is defined to be the sum of degrees of the vertices u and v. In 1990 P. Erdős asked the question: What is the minimum weight of an edge of a graph G having n vertices and m edges? This paper brings a precise answer to the above question of Erdős.

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Received July 12, 1999

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Jendrol', S., Schiermeyer, I. On a Max-min Problem Concerning Weights of Edges. Combinatorica 21, 351–359 (2001). https://doi.org/10.1007/s004930100001

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  • AMS Subject Classification (2000) Classes:  05C35