21 citations · 102 across the 28 of their papers we have counts for
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math.CO2014★ 1 cited
Conformally Covariant Operators and Conformal Invariants on Weighted Graphs
Dmitry Jakobson, Thomas Ng, Matthew Stevenson +1
Let G be a finite connected simple graph. We define the moduli space of conformal structures on G. We propose a definition of conformally covariant operators on graphs, motivated b…
math.CO2000★ 1 cited
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★ 21 cited
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…