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math.CO2000
Extremal metrics on graphs I
Dmitry Jakobson, Igor Rivin
We define a number of natural (from geometric and combinatorial points of view) deformation spaces of valuations on finite graphs, and study functions over these deformation spaces…
math.CO1999
On some extremal problems in graph theory
Dmitry Jakobson, Igor Rivin
In this paper we are concerned with various graph invariants (girth, diameter, expansion constants, eigenvalues of the Laplacian, tree number) and their analogs for weighted graphs…