Groupe d’études et de recherche en analyse des décisions


Variable Neighborhood Search for Extremal Graphs. 12. A Note on the Variance of Bounded Degrees in Graphs

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An upper bound is given on the variance of degrees of graphs with n vertices, m edges and maximum degree Δ. Particular cases of chemical interest, i.e., graphs with Δ = 3 or 4 and at most 2 cycles are examined, and conditions for the bound to be sharp derived.

, 15 pages