On a Max-min Problem Concerning Weights of Edges |
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| Authors: | Stanislav Jendrol' Ingo Schiermeyer |
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| Institution: | Department of Geometry and Algebra, P. J. ?afárik University; 04154 Ko?ice, Slovak Republic; E-mail: jendrol@kosice.upjs.sk, SK
Fakult?t für Mathematik und Informatik, Technische Universit?t Bergakademie Freiberg; D-09596 Freiberg, Germany; E-mail: schierme@math.tu-freiberg.de, DE
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| Abstract: | 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.
Received July 12, 1999 |
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| Keywords: | AMS Subject Classification (2000) Classes: 05C35 |
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