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G-98-66

Variable Neighborhood Search for Extremal Graphs. 3. On the Largest Eigenvalue of Color-Constrained Trees

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In the set of bicolored trees with given numbers of black and of white vertices we describe those for which the largest eigenvalue is extremal (maximal or minimal). The results are first obtained by the automated system AutoGraphiX, developed in GERAD (Montreal), and verified afterwards by theoretical means.

, 18 pages

Ce cahier a été révisé en avril 2000